Chapter 4 Matter Concept Of Mole Topic A Concept Of Mole And Importance Of Avogadro’s Number Synopsis
- The literal meaning of the word ‘mole’ is heap.
- One mole of a substance is the amount that contains 6.022 x 1023 constituent particles (atoms, molecules, or ions) of the substance.
- Chemical calculations can be done in a simpler and more convenient method by using the concept of mole.
- The number of molecules present in one gram-mole of a substance, which may be either an element or a compound (solid, liquid, or gas) is known as Avogadro’s number (NA).
- The value of Avogadro’s number (NA) is 6.22x 1023. It is independent of both temperature and pressure.
- It is very difficult to grasp the enormousness of Avogadro’s number. NA = 602213670000000000000000.
- The value of Avogadro’s constant is 6.022 x 1023 mol-23.
- Avogadro’s number correlates with the microscopic and macroscopic world.
- Avogadro’s number finds useful applications in calculations related to physics, chemistry, and biological science.
Class 9 Physical Science Chapter 4 Concept Of Mole
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Chapter 4 Matter Concept Of Mole Topic A Concept Of Mole And Importance Of Avogadro’s Number Short And Long Answer Type Questions
Question 1. Define mole.
Answer:
Mole:
One mole of a substance is the amount of the substance (element or compound) which contains Avogadro’s number (6.022 x 1023) of fundamental particles (atoms, molecules, or ions).
Question 2. What is Avogadro’s number?
Answer:
Avogadro’s Number:
The number of molecules present in one gram mole of a substance which may be either an element or a compound (solid, liquid, or gas) is known as Avogadro’s number.
Question 3. What is Avogadro’s constant? How is it different from Avogadro’s number?
Answer:
Avogadro’s Constant:
- The number of particles present per mole of a substance is called Avogadro’s constant. Thus, Avogadro’s constant is Avogadro’s number/mole. Its value is 6.022 x 1023 mol-1. It is a universal constant.
- Avogadro’s number is a pure number. It has no unit but the unit of Avogadro’s constant is mol-1.
Class 9 Physical Science Chapter 4 Short And Long Answer Type Questions
Question 4. Why is it necessary to mention the corresponding fundamental particle while using the term ‘mole’?
Answer:
It/is necessary to mention the corresponding fundamental particle while using the term ‘mole’. This is because the amount of a substance entirely depends on the nature of particles present in it. For example, the fundamental particle of oxygen can be atom as well as molecule.
Thus, the term 1 mol oxygen1 does not clearly indicate the amount of oxygen present in that quantity, because 1 mol oxygen represents both 1 mol oxygen molecule and 1 mol oxygen atom.
Now, a 1 mol oxygen molecule contains twice the number of oxygen atoms present in a 1 mol oxygen atom, although the number of particles in both quantities are same.
Question 5. Avogadro’s number creates a correlation between the macroscopic and microscopic world— explain.
Answer:
Avogadro’s number creates a correlation between the macroscopic and microscopic world—
Molecules or atoms are too small to be seen. So, it is extremely difficult to count the number of atoms or molecules in a given mass of substance. However, by using the mole concept, scientists have been able to successfully calculate the number of atoms, molecules, or ions in a given mass of substance.
According to the definition of mole, 1 mol of a substance contains 6.022 x 1023 number of fundamental particles. This number (6.022 x 1023) is known as Avogadro’s number.
We cannot see 1 molecule of water but, 1 mol of water (which is equal to 18 g water) is visible to us. Now, 1 mol of water (i.e., 18 g water) contains 6.22x 1023 molecules of water.
Thus it can be concluded that, Avogadro’s number creates a correlation between the macroscopic and microscopic world.
Class 9 Physical Science Chapter 4 Short And Long Answer Type Questions
Question 6. Discuss the significance of mole concept or Avogadro’s number.
Answer:
Significance Of Mole Concept:
The concept of mole is used in different fields of science. 1 mol of a substance contains Avogadro’s number (6.022 x 1023) of fundamental particles (atoms, molecules or ions) this concept has simplified the chemical calculations to a large extent.
It has also become easier to correlate the different physical quantities with the help of Avogadro’s number and mole concept. Some important applications of Avogadro’s number are illustrated below
1. The number of atoms, molecules or ions present in a given mass of a substance is calculated by using mole concept. For example, 88g CO2 = 88g/44g = 2 mol (as a gram-molecular mass of CO2 is 44 g).
Hence, number of molecules in 88 g CO2 = 2 x 6.022 x 1023 = 12.044 x 1023
2. The actual mass of an atom or a molecule is expressed in atomic mass unit (u).
Now, u = \(\frac{1}{\text { Avogradro’s number }}\) g
Thus, mass of one N2 molecule = 28 u
= 28 x \(\frac{1}{6.022 \times 10^{23}}\) = 28 x 1.6605 x 10-24
Class 9 Physical Science Chapter 4 Short And Long Answer Type Questions
3. Using Avogadro’s number, it is possible to calculate the number of molecules present in a definite volume of any gas at STP.
4. The atomic radii of solid metals can be calculated using Avogadro’s number.
5. The value of Boltzmann constant can be calculated using Avogadro’s number.
Question 7. Do 1 mol O2 and 1 mol O represent the same quantity of oxygen?
Answer:
The molecular formula of oxygen is O2 while O represents an atom of oxygen. Hence, 1 mol O2 represents Avogadro’s number of oxygen molecules. On the other hand, 1 mol O2 indicates Avogadro’s number of O-atoms.
The mass of Avogadro’s number of O2 molecules is 32 g and that of Avogadro’s number of O-atoms is 16 g. Thus, 1 mol O2 and 1 mol O do not represent the same quantity of oxygen.
Question 8. Can Avogadro’s constant be considered as universal constant?
Answer:
Yes, Avogadro’s constant may be considered as universal constant.
Reasons:
- 22.4 L of any gas at STP contains Avogadro’s number of molecules.
- Number of molecules in 1 g-mole or number of atoms in 1 g-atom of any element or compound are equal to Avogadro’s number.
- Number of ions present in 1 g-ion of any sample is equal to Avogadro’s number.
Question 9. Write down the importance of Avogadro’s number in biology. Or, Mention an use of Avogadro’s number in biology.
Answer:
Importance of Avogadro’s number in biology
In biological science, Avogadro’s number can be used for quantitative calculations of solids, liquids, and gases.
Class 9 Physical Science Chapter 4 Short And Long Answer Type Questions
Example:
Chlorophyll contains 2.68% Mg. Using the concept of Avogadro’s number one can find the number of Mg atoms present in 1 g chlorophyll as 6.69 x 1020.
Chapter 4 Matter Concept Of Mole Topic A Concept Of Mole And Importance Of Avogadro’s Number Very Short Answer Type Questions Choose The Correct Answer
Question 1. Which of the following correlates between the microscopic and macroscopic world?
- Dalton’s number
- Berzelius’ number
- Avogadro’s number
- Faraday’s number
Answer: 3. Avogadro’s number
Question 2. The meaning of the Latin word ‘moles’ is
- Many
- Having large volume
- Having large mass
- Heap
Answer: 4. Heap
Class 9 Physical Science Chapter 4 Very Short And Long Answer Type Questions
Question 3. The word ‘mole’ was first used by
- Dalton
- Ostwald
- Avogadro
- Millikan
Answer: 2. Ostwald
Class 9 Physical Science Chapter 4 Very Short And Long Answer Type Questions
Question 4. The value of Avogadro’s number is
- 6.024 X 1020
- 0.6023 X 1022
- 0.6022 X 1024
- 0.623 x 1023
Answer: 3. 0.6022 X 1024
Question 5. The amount of Avogadro’s number of fundamental particles (example: electron, proton, atom, molecule, ion) is known as
- Mole
- Gram-mole
- Gram-atom
- Gram-ion
Answer: 1. Mole
Class 9 Physical Science Chapter 4 Very Short And Long Answer Type Questions
Question 6. The element for which the number of gram-moles and number of gram-atoms will be equal for any quantity is
- Oxygen
- Helium
- Hydrogen
- Chlorine
Answer: 2. Helium
Question 7. Number of atoms in 0.1 mol of a triatomic gas is
- 6.022 x1022
- 1.806 X 1023
- 3.600 x1023
- 1.800 x 1022
Answer: 2. 1.806 X 10223
Class 9 Physical Science Chapter 4 Very Short And Long Answer Type Questions
Question 8. If 10-5 mol electron flows per second through a wire, the number of electron flows per second through it is
- 6.022 X1028
- 6.022 x 1023
- 6.022 X10-23
- 6.022 x 1018
Answer: 4. 6.022 x 1018
Question 9. 1 mol of oxygen atom means
- 6.022 x 1023 number of oxygen atoms
- 2 x 6.022 x 1023 number of oxygen atoms
- 1/2 x 6.022 x 1023 number of oxygen atoms
- 6.022 x 1023 number of oxygen molecules
Answer: 1. 6.022 x 1023 number of oxygen atoms
Class 9 Physical Science Chapter 4 Very Short And Long Answer Type Questions
Question 10. Number of Cl– ions obtained from 1 mol of CaCI2 is
- 2
- 6.022 X 1023
- 12.046 x 1023
- 3 x 6.022 x 1023
Answer: 3. 12.046 x 1023
Question 11. Unit of Avogadro’s constant is
- Mole
- Per mole
- (mole)2
- Dobson
Answer: 2. Per mole
Class 9 Physical Science Chapter 4 Very Short And Long Answer Type Questions
Question 12. Number of molecules in 1 millimol ammonia is
- 6.022 x 1026
- 6.022 x 1023
- 6.022 X 1020
- 6.0222 x 10-3
Answer: 3. 6.022 X 1020
Question 13. Which of the following cannot be calculated using Avogadro’s number?
- Boltzman constant
- Atomic radius of solid metals
- Velocity of light in vacuum
- Number of molecules in a definite volume
Answer: 3. Velocity of light in vacuum
Chapter 4 Matter Concept Of Mole Topic A Concept Of Mole And Importance Of Avogadro’s Number Answer In Brief
Question 1. Who determined the value of Avogadro’s number?
Answer: Robert Millikan .
Question 2. What is the unit of molar mass?
Answer: g • mol-1 or kg • mol-1.
Question 3. What is the effect of temperature and pressure on Avogadro’s number?
Answer: Mass and number of molecules do not depend on either temperature or pressure. Hence, temperature or pressure has no effect on Avogadro’s number.
Question 4. What is the SI unit of quantity of matter?
Answer: The SI unit of quantity of matter is mole.
Question 5. How many H-atoms are present in 1 mol hydrogen gas?
Answer: 1 mol hydrogen gas contains 6.022 x 1023 molecules.
Hence, number of H-atoms in 1 mol of hydrogen gas = 2 x 6.022 x 1023 = 12.044 x 1023.
Question 6. How many Fe-atoms does 1 gram-atom of iron indicate?
Answer: 6.022 x 1023 atoms of iron.
Question 7. How many moles of oxygen atoms do 6.22x 1024 number of oxygen atoms indicate?
Answer: 6.02 2 x 1024 number of oxygen atoms = 10 x 6.022 x 1024 oxygen atoms = 10 mol of oxygen atoms.
Question 8. How many grams of CO2 does 1 gram-mole of CO2 indicate?
Answer: 1 gram-mole of CO2 indicates 44 g of CO2
Question 9. How many molecules are present in 1 millimole CO2?
Answer: 6.022 x 1020 number of molecules are present in 1 millimol CO2.
Question 10. 2 balloons contain 1.8066 x 1023 number of hydrogen molecules and 2 mol hydrogen gas respectively. Which balloon contains higher number of molecules?
Answer: The balloon having 2 mol of hydrogen gas.
Question 11. What is the relation between the number of constituent particles of a substance, Avogadro’s number, and number of moles?
Answer: Number of moles
= \(\frac{\text { Number of constituent particles of a substances }}{\text { Avogadro’s number }}\)
Question 12. What is the total charge of 1 mol electron?
Answer: The charge of 1 mol electron is 1 Faraday.
Chapter 4 Matter Concept Of Mole Topic A Concept Of Mole And Importance Of Avogadro’s Number Fill In The Blanks
Question 1. In physical science, the 6.022 x 1023 is known as _______ number.
Answer: Avogradro’s
Question 2. In l mol oxygen gas, the number of oxygen atoms is _______
Answer: Fundamental
Question 3. 1 mol represents Avogadro’s number of _______ particles.
Answer: 2 x 6.022 x 1023
Question 4. The unit of Avogadro’s constant is _______
Answer: mol-1
Question 5. 6.22x 1023 number of H+ ions will be produced from __________ gram-mol of H2SO4.
Answer: 0.5
Question 6. When the term ‘mole’ is used, it is necessary to mention the corresponding _______ particle.
Answer: Fundamental
Question 7. 1 millimol = _______ mol.
Answer: 10
Question 8. 12.044 x 1023 number of protons = ________ mol protons.
Answer: 2
Question 9. 1 mol sugar = ________ g sugar.
Answer: 342
Question 10. 1 mol nitrogen molecule = ________ g nitrogen.
Answer: 28
Question 11. 1 millimol oxygen molecule indicates __________ number of oxygen molecules.
Answer: 6.022 x 1020
Question 12. Number of moles = mass of the substance ÷ mass of _________ of the substance.
Answer: 1 mol
Chapter 4 Matter Concept Of Mole Topic A Concept Of Mole And Importance Of Avogadro’s Number State Whether True Or False
Question 1. The value of Avogadro’s constant changes with the change in both temperature and pressure.
Answer: False
Question 2. The given mass of any substance when divided by the number of moles gives the corresponding value of molar mass.
Answer: True
Question 3. The value of Avogadro’s number was determined by Millikan.
Answer: True
Question 4. The unit of Avogadro’s constant is mol-1.
Answer: True
Question 5. The number of atoms in 1 gram-atom of oxygen is 6.022 x 1023
Answer: True
Question 6. 1 mol N2 and 1 mol N signify the same amount.
Answer: False
Question 7. 1 mol of CO2 contains 1 mol oxygen atom.
Answer: False
Question 8. Avogadro’s number is not applicable for microscopic substances.
Answer: False
Question 9. Avogadro’s number is independent of the properties of matter, it only depends upon the volume, pressure, and temperature.
Answer: False
Chapter 4 Matter Concept Of Mole Topic A Concept Of Mole And Importance Of Avogadro’s Number Numerical Examples
Question 1. P and Q flasks contain 0.5 mol oxygen and 0.4 mol ozone gas respectively. In which flask number of oxygen atoms is higher?
Answer:
Given
P and Q flasks contain 0.5 mol oxygen and 0.4 mol ozone gas respectively
Number of oxygen atoms in P flask = 2 x 0.5 x 6.022 x 1023 = 6.022 x 1023
Number of oxygen atoms in Q flask = 3 X 0.4 X 6.022 X 1023 = 1.2 x 6.022 x 1023
∴ Q flask contains higher number of oxygen atoms than that of P flask.
Question 2. How many moles of C-atom and how many moles of O-atom are present in 44 gCO2?
Answer:
Molecular mass of carbon dioxide = 12 + 2 x 16 =44
∴ 44 g CO2 = 1 gram-mole of CO2
Now, 1 molecule of CO2 contains 1 C-atom and 2 O-atoms.
∴ 1 gram-mole or 44 g of C02 contains 1 mol of C-atom and 2 mol of O atoms.
Chapter 4 Matter Concept Of Mole Topic B Gram Atom Atomic Mass Unit Gram Mole Molar Volume Of Gases And Formula Mass Synopsis
In hydrogen (1H) scale, the relative atomic mass of an element
= \(\frac{\text { mass of one atom of the element }}{\text { mass of one hydrogen atom }}\)
In 12C scale, the relative atomic mass of an element
= \(\frac{\text { mass of one atom of the element }}{\text { mass of one }{ }^{12} \mathrm{C} \text {-atom } \times \frac{1}{12}}\)
- The relative atomic mass of an element is expressed as a ratio of the masses of two atoms. Hence, it has no unit.
- The atomic mass of an element expressed in gram is known as the gram-atomic mass of the element.
- The actual mass of an atom is expressed in atomic mass unit.
- Atomic mass unit (1u) = 1/12 x actual mass of one C atom = 1.6605 x 10-24 g
- One gram atom of an element contains Avogadro’s number of atom.
- Atomic mass is expressed as a ratio of two masses. So it does not have any unit.
- The actual mass of an atom is very small. So, instead of actual mass, relative atomic mass of the element is used during chemical calculations.
- The atomic mass of an element is the average of atomic masses of all the naturally occurring isotopes of that element. Consequently, the atomic mass of most of the elements is fractional.
- The molecular mass of a substance expressed in gram is known as its gram-molecular mass.
- One gram-mole of a substance (element or compound) contains Avogadro’s number of molecules.
- Number of moles of a matter = \(\frac{\text { mass of the matter }}{\text { its molar mass }}=\frac{W}{M}\)
- At a given temperature and pressure, the volume occupied by 1 mol of a substance (element or compound) is known as its molar volume.
- At standard temperature and pressure, the molar volume of all the gases is 22.4 L.
- Formula mass of a compound is the sum of the atomic masses of all the atoms present in a formula unit of the compound. In case of ionic compounds, the formula of the compound does not represent the molecule of the compound, so the use of formula mass is more appropriate.
Chapter 4 Matter Concept Of Mole Topic B Gram Atom Atomic Mass Unit Gram Mole Molar Volume Of Gases And Formula Mass Short Ans Long Answer Type Questions
Question 1. Define relative atomic mass with respect to the hydrogen scale.
Answer:
Relative atomic mass with respect to the hydrogen scale
Considering the mass of one hydrogen atom as unity (1), the number of times an atom of an element is heavier than a hydrogen atom indicates the relative atomic mass of the given element.
Thus, the relative atomic mass of an element is defined as the ratio of the mass of one atom of the element to the mass of one atom of hydrogen.
Relative atomic mass of an element = \(\frac{\text { mass of one atom of the element }}{\text { mass of one hydrogen atom }}\)
Question 2. Define relative atomic mass with respect to the carbon (12C) scale.
Answer:
Relative atomic mass with respect to the carbon (12C) scale
The number of times an atom of an element is heavier than 1/12 th part of the actual mass of an atom of 12C isotope indicates the relative atomic mass of the given element.
Thus, the relative atomic mass of an element is defined as the ratio of mass of one atom of the element to 1/12th part of the mass of an atom of 12C isotope.
Relative atomic mass of an element = \(\frac{\text { mass of one atom of the element }}{\frac{1}{12} \times \text { mass of one }{ }^{12} \mathrm{C} \text {-atom }}\)
= \(\frac{\text { mass of one atom of the element }}{\text { mass of one }{ }^{12} \mathrm{C} \text {-atom }} \times 12\)
Question 3. Why is 12C and not hydrogen considered As the standard element to determine as the standard element to determine the relative atomic mass?
Answer:
- Hydrogen is the lightest element. So, while calculating atomic mass with respect to hydrogen, a very small error in measurement causes a large deviation in the actual result. This does not happen when 12C is taken as the standard element.
- The atomic masses calculated with respect to hydrogen scale are found to be fractional for most of the elements. However, atomic masses of most of the elements are integers with respect to the 12C scale.
Due to these advantages, nowadays 12C is considered as the standard element in the determination of relative atomic mass.
Question 4. What is gram-atomic mass?
Answer:
Gram-Atomic Mass :-
The gram-atomic mass of an element is defined as the atomic mass of the element expressed in gram. For example, atomic mass of oxygen is 16. Therefore, the gram-atomic mass of oxygen is 16 g.
Question 5. What is gram-atom?
Answer:
Gram-Atom:-
1 gram-atom of an element is defined as the amount of the element expressed in gram, which contains 6.022 x 1023 atoms of the element. For example, 1 gram-atom of nitrogen =14 g nitrogen, because 14g nitrogen contains 6.22x 1023 number of atoms.
Question 6. Relative atomic mass of an element has no unit. Explain
Answer:
The Relative Atomic Mass Of An Element:-
= \(\frac{\text { mass of one atom of the element }}{\frac{1}{12} \times \text { mass of one }{ }^{12} \mathrm{C} \text {-atom }}\)
As relative atomic mass of an element is a ratio of the masses of two atoms, it has no unit.
Question 7. What is atomic mass unit?
Answer:
Atomic Mass Unit:-
Atomic mass unit may be defined as the unit in which the actual mass of an atom is expressed and which is equal to 1/12 th of the actual mass of an atom of 12C isotope.
1 atomic mass unit or lu = 1.6605 x 10-24 g
Question 8. Why is the atomic mass of most elements fractional?
Answer:
The Atomic Mass Of Most Elements Fractional:-
Almost all the naturally occurring elements exist as a mixture of two or more isotopes. The isotopes have the same atomic number but different mass numbers. The relative atomic mass is calculated by taking the average of the mass numbers of different isotopes of that element.
Though the mass number is a whole number, yet the average is taken on the basis of percentage abundance of the isotopes which more or less have a fixed proportion in nature. This is why the atomic masses of most of the elements are found to be fractional.
For example, chlorine has two naturally occurring isotopes, \({ }_{17}^{35} \mathrm{Cl} \text { and }{ }_{17}^{37} \mathrm{Cl}\). The percentage abundance of these two isotopes are 75% and 25% respectively.
Hence, the average atomic mass of chlorine = \(\frac{35 \times 75+37 \times 25}{100}\) = 35.5 (fractional).
Question 9. Write the differences between atomic mass and mass of an atom of an element.
Answer:
Differences Between Atomic Mass And Mass Of An Atom Of An Element:-
- The atomic mass of an element is the ratio of mass of one atom of the element to 1/12th part of the mass of an atom of 12C isotope. On the other hand, the mass of an atom of an element means the actual mass of the atom.
- Atomic mass is a ratio. So, it has no unit. However, mass of an atom represents a definite mass. Hence, it has a unit of mass.
- Mass of an atom = atomic mass of the element x atomic mass unit (u). For example, atomic mass of oxygen is 16 but, mass of 1 oxygen atom = 16 x 1.6605 x 10-24 g = 26.656 x 10-24 g
Question 10. What is gram-molecule or gram-mole?
Answer:
Gram-Molecule:-
1 gram-molecule or gram-mole of a substance (element or compound) is defined as the amount of the substance expressed in gram, which contains 6.022 x 1023 molecules of the substance. For example, 1 gram-mole of oxygen =32 g oxygen, because, 32 g oxygen contains 6.22x 1023 number of molecules.
Question 11. What is meant by molar mass?
Answer:
Molar Mass:-
Molar mass is the mass of 1 mol of a substance. Alternatively, it is defined as the mass of Avogadro’s number of constituent particles (atoms, molecules, or ions) of the substance. For example, the gram-atomic mass of helium is 4g.
Hence, molar mass of helium = 4g • mol-1. Again, the gram-molecular mass of water is 18 g. Hence, molar mass of H2O = 18 g • mol-1.
Question 12. What is gram-molar mass?
Answer:
Gram-Molar Mass:-
The gram-molar mass of a substance (element or compound) is defined as the molar mass of that substance expressed in gram. For example, molar mass of carbon dioxide is 44 g • mol-1. Therefore, gram-molar mass of CO2 is 44 g.
Question 13. What is molar volume?
Answer:
Molar Volume:-
At a given temperature and pressure, the volume occupied by 1 mol of any substance (element or compound) is known as its molar volume at that temperature and pressure. The molar volume of any gas at standard temperature and pressure (STP) is 22.4 L.
Question 4. What can be known from ‘1 mol CO2‘?
Answer:
From ‘1 mol CO2‘ it can be known that
- Mass of the CO2 sample is 44 g.
- Number of CO2 molecules in the sample is 6.22 x 1023.
- Volume of the CO2 gas at STP is 22.4 L.
Question 15. What is formula mass?
Answer:
Formula Mass:-
Formula mass of an ionic compound is the sum of the atomic masses of all the atoms present in a formula unit of the compound. For example, formula mass of NaCI = 23+ 35.5 = 58.5.
Question 16. What is gram-formula mass?
Answer:
Gram-Formula Mass:-
The gram-formula mass of an ionic compound is defined as that amount of the compound expressed in gram numerically equal to its formula mass. For example, formula mass of NaCI is 58.5. Therefore, the gram-formula mass of NaCI is 58.5g.
Question 17. What is meant by gram-formula unit?
Answer:
Gram-Formula Unit:-
The amount of a substance in gram calculated from its formula unit is called 1 gram-formula unit of the substance.
Thus, 1 gram-formula unit = \(\frac{\text { given mass of the substance in gram }}{\text { gram-formula mass of the substance }}\)
For example, 58.5 g of NaCI = \(\frac{58.5g}{58.5g}\)= 1 gram-formula unit of sodium chloride.
Question 18. Find the formula mass of CaCI2.
Answer:
Formula Mass Of CaCI2
Atomic mass of calcium = 40; atomic mass of chlorine = 35.5.
Hence, formula mass of CaCI2 = 40 + 35.5 x 2 = 111
Question 19. Use of formula mass instead of molecular mass is more appropriate in case of ionic compounds. Explain.
Answer:
Use Of Formula Mass Instead Of Molecular Mass Is More Appropriate In Case Of Ionic Compounds
For an ionic compound, there is no existence of any discrete molecule. The formula of the compound represents the ratio of different ions in the compound.
For example, although sodium chloride is expressed by the formula NaCI, yet there is no existence of individual sodium chloride molecule. Actually, the compound contains Na+ ions and Cl– ions in the ratio of 1:1 which is represented by the formula.
In the crystalline form of sodium chloride, each Na+ ion is surrounded by 6 Cl– ions and each Cl– ion is further surrounded by 6 Na+ ions forming a network structure called crystal lattice.
Thus, in the crystal lattice of sodium chloride, there is no presence of molecules. Hence, it is not appropriate to use the term molecular mass in case of ionic compounds rather, the term formula mass should be used.
Question 20. Molecular mass and formula mass are not always the same. Explain with examples.
Answer:
Molecular Mass And Formula Mass Are Not Always The Same
Molecular mass of an element or a compound is calculated from the formula of the substance. So, molecular mass is numerically equal to the formula mass. However, the two terms are not always the same.
The term molecular mass represents the relative mass of a molecule of a substance while formula mass represents the relative mass of 1 formula unit of the substance.
For substances which exist as molecules, molecular mass and formula mass are the same. However, there are compounds which do not exist as molecules. For such compounds, the term molecular mass is not applicable.
For example, CO2 molecule actually exists. Hence, the term molecular mass is applicable for CO2 and both molecular mass and formula mass of CO2 is 44. However, NaCI molecule has no separate existence.
Its formula mass is 58.5 but the term molecular mass is not applicable for NaCI because it constitutes of Na+ and Cl– ions.
Question 21. What is the relation between gram- molecular mass or gram-molecule and molar volume of a gas at STP?
Answer:
Relation Between Gram- Molecular Mass Or Gram-Molecule And Molar Volume Of A Gas At STP
From Avogadro’s law it can be proved that 1 mole of any gas at STP occupies 22.4 L. On the other hand, mass of 1 mol of molecules of any substance expressed in gram is called the gram- molecular mass of that substance.
Again, 1 gram- molecule of a substance is the amount of the substance expressed in gram, which is numerically equal to its molecular mass.
Thus, it can be concluded from these three relations that, at STP, volume of 1 gram-molecule of any gaseous substance is 22.4 L.
For example, 1 gram-molecule of oxygen = 32 g.
Hence, it can be said that 32 g of oxygen at STP occupies 22.4 L.
Similarly, the gram-molecular mass of carbon dioxide is 44 g. Hence, the volume of 44 g of CO2 at STP is 22.4 L.
Chapter 4 Matter Concept Of Mole Topic B Gram Atom Atomic Mass Unit Gram Mole Molar Volume Of Gases And Formula Mass Very Short Answer Type Questions Choose The Correct Answer
Question 1. 1 amu is equal to
- 1.66 X 10-24 kg
- 1.66 x 10-25 g
- 0.166 x 10-23 g
- 1.66 x 10-20 g
Answer: 3. 0.166 x 10-23 g
Question 2. The mass of 1 atom of 17CI35 is
- 17 u
- 34 u
- 35 u
- 70 u
Answer: 3. 35 u
Question 3. 1 u is equal to
Mass of one H-atom
Mass of one 12C-atom
Mass of one 16O-atom
1/12 th mass of one 12C-atom
Answer: 4. 1/12 th mass of one 12C-atom
Class 9 Physical Science Chapter 4 Concept of Mole
Question 4. Molar volume of a gas at STP is
- 1 L
- 11.1 L
- 22.4 L
- 5.6 L
Answer: 3. 22.4 L
Question 5. Molar mass of sulphuric acid is
- 98 kg •mol-1
- 98 g •mol-1
- 49 u
- 49 mg•mol-1
Answer: 2. 98 g-mol-1
Question 6. For which of the following gases, the mass of 22.4 L of the gas at STP is 44 g?
- NH3
- H2S
- CO2
- CH4
Answer: 3. CO2
Class 9 Physical Science Chapter 4 Concept of Mole
Question 7. The formula mass of MgCI2 (Mg = 24) is
- 95 u
- 65 u
- 85 u
- 75 u
Answer: 1. 95 u
Question 8. 117g NaCI is equal to how many gram- formula mass of NaCI?
- 1
- 2
- 3
- 4
Answer: 2. 2
Question 9. The compound whose formula mass is equal to 106 is
- CaCO3
- CaCI2
- NaCI
- Na2CO3
Answer: 4. Na2CO3
Class 9 Physical Science Chapter 4 Concept of Mole
Question 10. The statement ‘molecular mass of sodium chloride is 58.5’ is wrong because
- It is a radioactive substance
- It is a solid
- NaCI molecule has no separate existence
- None of these
Answer: 3. NaCI molecule has no separate existence
Question 11. If atomic mass of an element is ‘x’ in hydrogen scale, its atomic mass in carbon scale will be
- x
- 1/12 x x
- 12x
- 12/x
Answer: 1. x
Question 12. Atomic mass of nitrogen in carbon scale is 14, its atomic mass in hydrogen scale will be
- 14 x 1/3
- 14 x 1/2
- 14
- 14 x 2
Answer: 3. 14
Class 9 Physical Science Chapter 4 Concept of Mole
Question 13. If mass and gram-molecular mass of a compound are ‘m’ g and ‘M’ g respectively, number of gram-mole of the compound is
- m x M
- m/M
- M/m
- \(\frac{(m)^2}{M}\)
Answer: 2. m/M
Chapter 4 Matter Concept Of Mole Topic B Gram Atom Atomic Mass Unit Gram Mole Molar Volume Of Gases And Formula Mass Answer In Brief
Question 1. Which element is considered as the standard for determining the relative atomic mass of an element?
Answer: To determine the relative atomic mass of a 12C element, the C isotope of carbon (\({ }_6^{12} C\)) is considered as the standard.
Question 2. Find the value of 1/12 th part of the mass of one \({ }_6^{12} C\)-atom.
Answer: The value of 1/12th part of mass of one \({ }_6^{12} C\) atom = 1.6605 x 10-24 g.
Question 3. How many grams of H2O does 1 gram-mole of H2O indicate?
Answer: 1 gram-mole of H2O indicates 18 g of water.
Question 4. 1u = how many grams?
Answer: 1u = 1.6605 x 10-24 g.
Question 5. How are mass, molar mass and number of moles related?
Answer: Given mass (m) = number of moles (n) x molar mass (M)
Class 9 Physical Science Chapter 4 Concept of Mole
Question 6. What is the mass of one molecule of water (H2O) in amu?
Answer: 18 u.
Question 7. Find the actual mass of one atom of \({ }_8^{16} O\).
Answer: The actual mass of one atom of \({ }_8^{16} O\) = 16u
= 16 x 1.6605 x 10-24 g = 26.568 X 10-24 g
Question 8. What is meant by the statement ‘molecular mass of ammonia is 17 u’?
Answer: Molecular mass of ammonia is 17u means that the actual mass of one molecule of ammonia = 17 x 1.6605 x 10-24 g = 28.2285 x 10-24 g
Question 9. For which compound between CaCI2 and H2O, the use of formula mass is appropriate?
Answer: The use of formula mass is appropriate for CaCI2 as it is an ionic compound.
Question 10. Find the percentage of carbon (by mass) in CO2.
Answer: Molar mass of CO2 = 12 + 16 x 2 = 44 So, percentage of carbon (by mass) in CO2 = 12/44 x 100 =27.27%
Class 9 Physical Science Chapter 4 Concept of Mole
Question 11. Find the actual mass of a hydrogen atom. (1u =1.6605 x 10-24 g)
Answer: Actual mass of a hydrogen atom = 1.008u = 1.008 x 1.6605 x 10-24 g
Question 12. Atomic mass of sodium is 23—explain.
Answer: Atomic mass of sodium is 23 means that the mass of a sodium atom is 23 times to that of 1/12 th part of the mass of a C12 isotope.
Question 13. What is the mass of a carbon atom unified atomic mass unit?
Answer: 12 u.
Question 14. Express the value of 1 amu in kg.
Answer: Value of 1 amu in kg is 1.6605 x 10-27 kg
Question 15. What is Avogram?
Answer: 1/12th part of the mass of a C12 -atom i.e.; 12 1.66 x 10-24 g is termed as 1 Avogram. 1 amu = 1 Avogram.
Question 16. Name a gaseous substance whose atomic and molecular masses are equal to each other.
Answer: Helium (He).
Question 17. In which case gram-atomic mass and gram-molecular mass are of same meaning?
Answer: For monoatomic elements;
Example: noble gases.
Question 18. If atomic mass of sodium is 23, what will be the mass of a sodium atom in ‘amu’?
Answer: 23 u or 23 amu.
Class 9 Physical Science Chapter 4 Concept of Mole
Question 19. Name two substances for which both molar mass and atomic mass are same.
Answer: Neon and potassium.
Chapter 4 Matter Concept Of Mole Topic B Gram Atom Atomic Mass Unit Gram Mole Molar Volume Of Gases And Formula Mass Fill In The Blanks
Question 1. The actual mass of one ammonia molecule is _______ u.
Answer: 17
Question 2. The actual mass of an atom of an element = atomic mass of the element x ________ g.
Answer: 1.6605 x 10-24
Question 3. Actual mass of a \({ }_7^{14} \mathrm{~N}\)-atom is ______ u.
Answer: 14
Question 4. Actual mass of an \({ }_8^{16} \mathrm{~O}\)-atom is _____ g.
Answer: 16 x 1.6605 x 10-24
Question 5. At STP, the volume of 17 g NH3 is _______ L.
Answer: 22.4
Question 6. At STP, the mass of 44.8 L of CO4 (g) is ________ g.
Answer: 88
Class 9 Physical Science Chapter 4 Concept of Mole
Question 7. Formula mass of CaCI2 is _______ u.
Answer: 111
Question 8. ______ part of the mass of an atom of a C12 isotope is termed as atomic mass unit.
Answer: 1/12
Chapter 4 Matter Concept Of Mole Topic B Gram Atom Atomic Mass Unit Gram Mole Molar Volume Of Gases And Formula Mass State Whether True Or False
Question 1. The relative atomic mass of an element can be defined with respect to hydrogen (1H) and carbon (12C) scales.
Answer: True
Question 2. The actual mass of one molecule of CO2 is 7.31 x 10-23 g.
Answer: True
Question 3. Formula mass is applicable for oxygen molecule.
Answer: False
Question 4. The formula mass of NaCI is 58.5.
Answer: True
Question 5. Atomic mass unit is denoted by ‘u’.
Answer: True
Class 9 Physical Science Chapter 4 Concept of Mole
Question 6. 1u =6.022 x 1023 g.
Answer: False
Question 7. Atomic mass of an elemernt is generally fraction.
Answer: True
Chapter 4 Matter Concept Of Mole Topic B Gram Atom Atomic Mass Unit Gram Mole Molar Volume Of Gases And Formula Mass Numerical Examples
Question 1. Express in gram-atom
- 46 g sodium,
- 3 g carbon.
Answer:
1. Atomic mass of sodium = 23
∴ 23 g sodium = 1 gram-atom sodium
∴ 46 g sodium = 46/23 = 2 gram-atom sodium
2. Atomic mass of carbon = 12
∴ 12 g carbon = 1 gram-atom carbon
Class 9 Physical Science Chapter 4 Concept of Mole
∴ 3g carbon = 3/12 = 0.25 gram-atom carbon
Question 2. Express in gram
- 0.25 mol nitrogen atom,
- 1.5 mol sodium atom.
Answer:
1. Atomic mass of nitrogen = 14
∴ 1 mol nitrogen atom = 14 g nitrogen .
∴ 0.25 mol nitrogen atom = 0.25 x 14g = 3.5 g nitrogen
2. Atomic mass of sodium = 23.
∴ 1 mol sodium atom = 23 g sodium
∴ 1.5 mol sodium atom = 1.5 x 23g = 34.5g sodium
Question 3. Express in gram-mole
- 64 g oxygen,
- 2.2 g carbon dioxide.
Class 9 Physical Science Chapter 4 Concept of Mole
Answer:
1. Molecular mass of oxygen = 32
∴ 32 g oxygen = 1 gram-mole oxygen
∴ 64 g oxygen = 64/32 = 2 gram-mole oxygen
2. Molecular mass of carbon dioxide (CO2) = 12 + 2 x 16 = 44
∴ 44 g carbon dioxide = 1 gram-mole carbon dioxide
∴ 2.2 g carbon dioxide = 2.2/44 = 0.05 gram- mole carbon dioxide
Question 4. What is the mass of l gram-atom of oxygen? How many atoms are there in this quantity of oxygen?
Answer:
Given
mass of l gram-atom of oxygen
Atomic mass of oxygen = 16
∴ Mass of 1 gram-atom of oxygen = 16 g
Again, 16 g oxygen = 1 mol oxygen atom = 6.022 x 1023 number of oxygen atoms
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass Synopsis
If Avogadro’s number = NA and gram-molecular mass = M, then
1. Mass of 1 atom of an element = \(\frac{\text { gram-atomic mass }}{N_A}\)
2. Mass of 1 molecule of any substance = \(\frac{M}{N_A}\)
3. Number of molecules in W gram of any substance = \(\frac{W \times N_A}{M}\)
4. Number of molecules in VI of gas at STP = \(=\frac{V \times N_A}{22.4}\)
5.
6. Number of molecules in n mol of any substance = n x NA.
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass Short And Long Answer Type Questions
Question 1. How will you determine the number of moles and number of molecules In a given mass of a substance?
Answer:
Number of moles in a given mass of a substance
(n) = \(\frac{\text { given mass of the substance in gram }}{\text { gram-molecular mass of the substance }}\)
= \(\frac{m g}{M g \cdot \mathrm{mol}^{-1}}=\frac{m}{M} \mathrm{~mol}\)
Number of molecules in a given mass of substance (N) = Number of moles x Avogadro’s number = n x NA = m/M x NA.
Class 9 Physical Science Chapter 4 Concept of Mole
Question 2. What is the actual mass of 1 molecule of NH3?
Answer:
Actual mass of 1 molecule of NH3
Molecular mass of NH3 = 14 + 1 x 3 = 17
Hence, actual mass of one NH3 molecule =17u
= 17 X 1.6605 X 10-24 g = 28.2285 x 10-24 g
Question 3. Explain whether 0.1 g of diamond will contain the same number of carbon atoms as present in 0.1 g of graphite.
Answer:
Both graphite and diamond are the allotropes of carbon.
Hence, equal amount (by mass) of both substances will contain same number of carbon atoms.
Thus, 0.1 g of diamond and 0.1 g of graphite contain equal number of carbon atoms.
Question 4. How many gram-atoms and gram-moles of oxygen are present in 32 g oxygen?
Answer:
Atomic mass of oxygen = 16.
∴ 16 g oxygen = 1 gram-atom oxygen.
∴ 32 g oxygen = 32/16 = 2 gram-atom oxygen.
Now, molecular mass of oxygen = 32.
∴ 32 g oxygen = 1 gram-mole oxygen.
Question 5. Among equal volumes of Cl2 and O2 at STP, which one has more mass?
Answer:
Given
Among equal volumes of Cl2 and O2 at STP
We know, the volume of 1 g-mole of any gaseous substance at STP is 22.4 L.
Now 1 g-mole Cl2 = 2 X 35.5 g = 71 g Cl2
1 g-mole O2 = 2 x 16 g = 32 g O2
∴ At STP, mass of 22.4 L of Cl2 gas = 71 g and mass of 22.4 L of O2 gas = 32 g
∴ Cl2 gas will have more mass than O2 at given conditions.
Class 9 Physical Science Chapter 4 Concept of Mole
Question 6. An isotope of chlorine is 35 times heavier than 1/12 th of the mass of a C12 isotope. What is the actual mass of the Cl-leading isotope?
Answer:
Given
An isotope of chlorine is 35 times heavier than 1/12 th of the mass of a C12 isotope.
1/12th of the mass of a C12 isotope = 1u = 1.6605 x 10-24 g
∴ The actual mass of the chlorine isotope = 35 x 1.6605 x 10-24 g
= 58.1175 x 10-24 g = 5.81175 X 10-23 g
Question 7. Prove that 1 gram-molecule of any substance contains the same number of molecules.
Answer:
Let, the molecular mass of a substance be M.
∴ Its molecule will be M times heavier than that of a hydrogen atom.
If the actual mass of a hydrogen atom be xg, then the actual mass of a molecule of that substance = M x xg.
Now, the mass of 1 gram-molecule of the substance is Mg.
∴ Number of molecules constituting 1 gram- molecule of the substance = \(\frac{M}{M \times x}=\frac{1}{x}\)
Since value of x is definite, so value of 1/x is also definite.
For example, number of molecules in 1 molecule oxygen gas
= \(\frac{32}{32 x}=\frac{1}{x} \quad\left[because M_{0_2}=32\right]\)
Similarly number of molecules in1 gram-molecule nitrogen gas.
= \(\frac{28}{28 x}=\frac{1}{x} \quad\left[because M_{N_2}=28\right]\)
Similarly, number of molecules in W g of B \(\frac{W}{M_B} \times 6.022 \times 10^{23}\)
∴ Ratio of number of molecules in Wgof A and
B = \(\frac{W}{M_A} \times 6.022 \times 10^{23}: \frac{W}{M_B} \times 6.022 \times 10^{23}\)
= \(M_B: M_A\)
Thus, the ratio of the number of molecules present in equal masses of two substances having different molecular masses is equal to the reciprocal of the ratio of their molecular masses.
Class 9 Physical Science Chapter 4 Concept of Mole
Question 9. Molecular mass and atomic element are x and y respectively. Express the mass of1 molecule and 1 atom of that element In gram.
Answer:
Given
Molecular mass and atomic element are x and y respectively.
Since atomic mass of the element is y, hence mass of 1 gram-atom = yg
∴ Total mass of NA number of atoms = yg [NA = Avogadro’s number]
∴ Actual mass of 1 atom = \(\frac{y}{N_A}\) g
Again, molecular mass of the element =x
∴ Mass of 1 gram-molecule of the element = xg
∴ Total mass of NA number of molecules = xg
∴ Mass of a molecule of the element = \(\frac{x}{N_A}\)g
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass Very Short Answer Type Questions Choose The Correct Answer
Question 1. Number of molecules in 36 g water is
- 6.022 X 1023
- 12.044 X 1023
- 3.011 x 1023
- 9.0345 X 1023
Answer: 2. 12.044 X 1023
Question 2. Which of the following contains maximum number of moles?
- 18 g water,
- 34 g ammonia,
- 71 g chlorine,
- 8 g hydrogen.
Answer: 4. 8 g hydrogen.
Question 3. Which of the following contains maximum number of atoms?
- 28g N2,
- 18g H2O,
- 17g NH3,
- 16g CH4.
Answer: 4. 16gCH4.
Class 9 Physical Science Chapter 4 Concept of Mole
Question 4. Number of H-atoms in 2 mol water is
- 1 mol
- 2 mol
- 3 mol
- 4 mol
Answer: 4. 4 mol
Question 5. Number of moles of H+ ions obtained from 98 g H2SO4 is
- 1 mol
- 2 mol
- 3 mol
- 4 mol
Answer: 2. 2 mol
Question 6. Amount of Ca(OH)2 required to produce 1 mol of OH– ions is
- 74 g
- 148 g
- 37 g
- 60 g
Answer: 3. 37 g
Question 7. Which of the following has a volume of 22.4 L at STP?
- 36 g water
- 64 g oxygen
- 71 g chlorine
- 4 g hydrogen
Answer: 3. 71 g chlorine
Question 8. Which of the following contains maximum number of molecules?
- 44 g CO2
- 48 g O3
- 8 g H2
- 64 g SO2
Answer: 3. 8 g H2
Class 9 Physical Science Chapter 4 Concept of Mole
Question 9. At STP, the mass of 44.8 L of a gas is 88 g. The molecular formula of the gas is
- N2
- CO2
- NH3
- O2
Answer: 2. CO2
Question 10. Which of the following contains maximum number of molecules?
- 10 g O2 (g)
- 15 L H2 (g) at STP
- 5 L N2 (g) at STP
- 0.5 g H2 (g)
Answer: 2. 15 L H2 (g) at STP
Question 11. Number of atoms in 4.25 g of NH3 is
- 6.022 x 1023
- 4 x 6.022 x 1023
- 1.7 x 1024
- 4.25 X 6.022 x 1023
Answer: 1. 6.022 x 1023
Question 12. How many grams of CO2 will contain the same number of molecules as that in 44.8 L of NH3 at STP?
- 44 g
- 66 g
- 88 g
- 132 g
Answer: 3. 88 g
Question 13. Which of the following contains maximum number of molecules?
- 1 g CO2
- 1 g H2
- 1 g O2
- 1 g CH4
Answer: 2. 1 g H2
Question 14. Mass of 44.8 L of a gas at STP is 92 g. Formula of the gas is
- N2
- NO2
- NH2
- O2
Answer: 2. NO2
Class 9 Physical Science Chapter 4 Concept of Mole
Question 15. Mass of 2 mol of ammonia is
- 12 g
- 51 g
- 34 g
- 17 g
Answer: 3. 34 g
Question 16. The volume of 34 g ammonia at STP is
- 11.2 L
- 22.4 L
- 44.8 L
- 42.2 L
Answer: 3. 44.8 L
Question 17. If the mass of 6.022 x 1020 atoms of an element is 0.012 g, its atomic mass will be
- 11
- 12
- 13
- 24
Answer: 2. 12
Question 18. The volume of 2 g-mol CO2 at STP is
- 22.4 L
- 44.8 L
- 11.2 L
- 2.24L
Answer: 2. 44.8 L
Question 19. Number of carbon atoms in 1.71 g of sugar is
- 3.6 x 1022
- 7.2 x 1022
- 6.6 x 1022
- None of the above
Answer: 1. 3.6 x 1022
Question 20. Amount of carbon present in 0.5 mol potassium ferrocyanide (K4[Fe(CN)6]) is ®
- 1.5 mol
- 36 g
- 18 g
- 3.6 g
Answer: 2. 36 g
Class 9 Physical Science Chapter 4 Concept of Mole
Question 21. Which of the following contains least number of molecules?
- 1 g H2
- 1 g N2
- 1.1 g O2
- 1.5 g O2
Answer: 3. 1.1 g O2
Question 22. Number of moles of oxygen atoms present in 6.022 x 1024 molecules of CO is
- 10
- 5
- 1
- 0.5
Answer: 1. 10
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass Answer In Brief
Question 1. Which of the given substances has maximum number of molecules 28 g N2, 32 g O2,18 g H2O, and 100 g CaCO2?
Answer: 28g N2 = 1 mol N2;
32g O2 = 1 mol O2;
18g H2O = 1 mol H2O;
100 g CaCO3 = 1 mol CaCO3
As all the substances contain the same number of moles, the number of molecules in each of the substances will be equal i.e., 6.22x 1023.
Question 2. What is the mass of 112 mL hydrogen gas at NTP?
Answer:
Mass of 112 mL hydrogen gas at NTP
0.01 g.
Question 3. A gas jar contains 17 g NH3 and another contains 44.8 L NH3 at STP. Which gas jar contains more molecules?
Answer: 17g NH3 = 17/17 mol = 1 mol NH
Again, 44.8L NH3 at STP = \(\frac{44.8}{22.4}\) mol NH3 = 2 mol NH3
Hence, the second gas jar contains more number of molecules.
Class 9 Physical Science Chapter 4 Concept of Mole
Question 4. What is the volume of 7g of nitrogen at NTP?
Answer:
The volume of 7g of nitrogen at NTP
At NTP, volume of 28 g of nitrogen = 22.4 L
Hence, at NTP, volume of 7g of nitrogen = \(\frac{22.4}{28}\) X 7 L = 5.6 L.
Question 5. What is the volume of 88 g CO2 (g) at STP?
Answer:
Volume of 88 g CO2 (g) at STP
88gCO2 = \(\frac{88}{44}\)mol CO2 = 2mol CO2
Hence, volume of 88g of CO2 at STP = 2 X 22.4L = 44.8 L.
Question 6. Between 42g nitrogen and 64 g oxygen, which has more gram-atoms?
Answer: 42 g nitrogen = \(\frac{42}{14}\)gram-atoms of nitrogen = 3 gram-atoms of nitrogen.
64g oxygen = \(\frac{64}{16}\) gram-atoms of oxygen = 4 gram-atoms of oxygen.
Hence, 64g of oxygen contains more number of gram-atoms.
Question 7. Which of the following has maximum number of molecules at STP? 100m3 CO2, 200cm3 NH3, 150cm3 O2.
Answer: At STP, 200 cm3 of NH3 will contain the maximum number of molecules.
Question 8. How many atoms are there in 67.2L of a diatomic gas at STP?
Answer: 67.2 L of a gas at STP = \(\frac{67.2}{22.4}\) mol of the gas = 3 mol of the gas
So, number of molecules of the gas = 3 x 6.022 x 1023
As the gas is diatomic, the number of atoms = 2 x 3 X 6.022 x 1023 = 36.132 x 1023
Class 9 Physical Science Chapter 4 Concept of Mole
Question 9. How many molecules are present in 109.5 g HCI?
Answer: Number of molecules in 109.5 g HCI
= \(\frac{109.5}{36.5}\) x 6.022 x 1023 = 18.066 x 1023 = 1.8066 X 1024
Question 10. Are the masses of 1 mol sodium and 1 mol oxygen are same?
Answer: The masses of 1 mol sodium and 1 mol oxygen are not same.
Question 11. How many atoms are there in 11.5 g sodium?
Answer: Number of atoms in 11.5 g sodium
= \(\frac{11.5}{23}\) X 6.022 x 1023 = 3.011 x 1023
Question 12. What will be the volume of hydrogen gas at STP produced from the reaction of 23 g of Na with water?
Answer: 2Na + 2H2O → 2NaOH + H2 ↑
∴ Volume of hydrogen gas at STP = 11.2 L
Question 13. What is the total number of electrons present in 1 mol of water?
Answer: Number of electrons in 1 mol of water = 10 mol
= 10 x 6.022 x 1023 = 6.022 x 1024
Question 14. What is the mass of 0.5 mol CO2 gas?
Answer: Mass of 0.5 mol of CO2 = 44 X 0.5 g = 22 g
Class 9 Physical Science Chapter 4 Concept of Mole
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass Fill In The Blanks
Question 1. Number of CO2 molecules in 88g CO2 is _______
Answer: 2 x 6.022 x 1023
Question 2. 16mol protons will be obtained from ______ mol oxygen.
Answer: 1
Question 3. Number of electrons present in 14 g nitrogen is _______
Answer: 7 x 6.022 X 1023
Question 4. Number of protons in 18 g water is _______
Answer: 10 X 6.022 X 1023
Question 5. 1 mol of OH– ions is obtained from ______ g NaOH.
Answer: 40
Question 6. At STP, the volume of __________ mol of any gas (elemental or compound) is 22.4 L.
Answer: 1
Question 7. The number of H-atoms in 10 mol water is _________ mol.
Answer: 20
Question 8. 98 g H2SO4 = _______ mol H2SO4.
Answer: 1
Question 9. Total mass of 3.011 x 1023 number of oxygen atoms is ________ g.
Answer: 8
Question 10. At STP, the volume of a gas (in L) = number of moles of the gas molecules x _______ L.
Answer: 22.4
Class 9 Physical Science Chapter 4 Concept of Mole
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass State Whether True Or False
Question 1. The molar volume of 256 g of sulphur dioxide gas at STP is 89.6 L.
Answer: True
Question 2. The percentage of calcium in CaCO3 is 60%.
Answer: False
Question 3. 2mol OH– ions can be obtained from 110 g KOH.
Answer: False
Question 4. The number of atoms present in 3.2 g CH4 is 6.022 x 1023.
Answer: True
Question 5. The number of chlorine atoms in 71 g HCI is 0.5 x 6.022 x 1023.
Answer: False
Question 6. 022 x 1023 number of molecules are present in 36 g of water.
Answer: False
Question 7. Volume of 32 g SO2 at STP is 11.2 L.
Answer: True
Question 8. 4 mol CO2 = 88 g CO2.
Answer: False
Question 9. Number of molecules present in 2 millimol of chlorine gas is 2 x 6.022 x 1020.
Answer: True
Question 10. The volume of 64 g oxygen at STP is 10 L.
Answer: False
Question 11. 44 g of CO2 contains 6.022 x 1023 number of molecules.
Answer: True
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass Numerical Examples
Question 1. Find the mass of 1 molecule of CO2.
Answer:
Molar mass of carbon dioxide = 12 + 2 x 16 = 44
Now, 1 mol of CO2 contains 6.022 x 1023 molecules.
Hence, mass of 6.022 x 1023 CO2 molecules = 44 g
∴ Mass of one CO2 molecule = \(\frac{44}{6.022 \times 10^{23}} g\) = 7.3 x 1023 g
Question 2. Between 100 g calcium and 100 g iron, which one will contain more number of atoms? (Given: atomic masses of calcium and iron are 40 u and 56 u respectively)
Answer:
Number of moles in 100 g calcium = \(\frac{\text { given mass }}{\text { gram-atomic mass }}=\frac{100 \mathrm{~g}}{40 \mathrm{~g}}=2.5\)
∴ Number of atoms in 100 g calcium = 2.5 x 6.022 x 1023 = 1.5055 X 1024
Again, number of moles in 100 g iron
= \(\frac{\text { given mass }}{\text { gram-atomic mass }}=\frac{100 \mathrm{~g}}{56 \mathrm{~g}}=1.78\)
∴ Number of atoms in 100 g iron = 1.78 X 6.022 X 1023 = 1.07 x 1024
Therefore, 100 g calcium contains more number of atoms than 100 g iron.
Question 3. How many grams of H2SO4 are required to produce 1 gram-ion of H+?
Answer:
\(\mathrm{H}_2 \mathrm{SO}_4(a q) \rightleftharpoons 2 \mathrm{H}^{+}(a q)+\mathrm{SO}_4^{2-}(a q)\)
1 molecule of H2S04 gives two H+ ions in aqueous solution.
Hence, 1 gram-mole of H2SO4 gives 2 gram-ions of H+ ion.
∴ 1 gram-ion of H+ ion will be produced from 1/2 gram-mole of H2SO4= 98/2 = 49g H2SO4 [as 1 gram-mole of H2SO4 = 98 g]
Thus, 49 g H2SO4 is required to produce 1 gram- ion of H+ ions.
Question 4. Which of the following has maximum number of molecules? 0.5 mol H2(g), 10g O2(g) and 15 L Cl2 at STP.
Answer:
Number of molecules present in a substance is proportional to its number of moles.
Amount of H2 = 0.5 mol
\(10 \mathrm{~g} \mathrm{O}_2 =\frac{\text { given mass }}{\text { gram-molecular mass }}=\frac{10 \mathrm{~g}}{32 \mathrm{~g}}=0.31 \mathrm{~mol} \mathrm{O}_2\)
22.4 L Cl2 at STP = 1 mol Cl2
∴ 15 L Cl2 = \(\frac{15L}{22.4L}\) = 0.67 mol Cl2
Hence, 15 L Cl2 at STP will have maximum number of molecules.
Question 5. Arrange the gases in increasing number of atoms present in given amounts
- 18gH2O,
- 18gCO2
- 18gCO2,
- 18gCH4.
Answer:
1. 18gH2O = 18/18 = 1 mol H2O = 6.022 x 1023 molecules of H2O
As 1 molecule of H2O have 3 atoms, number of atoms = 3 x 6.022 x 1023
2. 18 g O2= 18/32 =0.5625 mol O2 = 0.5625 x 6.022 x 1023 molecules of O2.
As 1 molecule of O2 have 2 atoms, number of atoms = 2 X 0.5625 X 6.022 X 1023 = 1.125 x 6.022 x 1023
3. 18 g CO2 = 18/44 = 0.409 mol CO2 = 0.409 x 6.022 x 1023 molecules of CO2
As 1 molecule of CO2 have 3 atoms, number of atoms = 3 x 0.409 x 6.022 x 1023 = 1.227 x 6.022 x 1023
4. 18 g CH4 = 18/16 = 1.125 mol CH4 = 1.125 x 6.022 x 1023 molecules of CH4
As 1 molecule of CH4 has 5 atoms, number of atoms = 5 X 1.125 x 6.022 x 1023 = 5.625 X 6.022 X 1023
Hence, correct order is 18g O2 < 18g CO2 < 18g HO2 < 18g CH4
Question 6. 3.42 g sucrose is dissolved in 18 g water. Find the number of oxygen atoms in the formed solution.
Answer:
Molecular mass of sucrose (C12H22O11) = 12 x 12 + 1 x 22 + 16 x 11 = 342
∴ 3.42 g sucrose = 3\(\frac{3.42}{342}\) = 0.01 mol sucrose = 0.01 x 6.022 x 1023 molecules of sucrose
As 1 molecule of sucrose has 11 oxygen atoms, number of O-atoms in 3.42 g sucrose = 11 X 0.01 x 6.022 x 1023
Molecular mass of water (H2O) = 1 x 2 + 16 =18
∴ 18 g water = 1 mol water = 6.022 x 1023 molecules of water.
As each molecule of water contains 1 O-atom, number of O-atoms in 18 g water = 6.022 x 1023
∴ Total number of O-atoms in formed solution = 11 x 0.01 x 6.022 X 1023 + 1 x 6.022 x 1023 = 1.11 X 6.022 x 1023 = 6.68 X 1023
Question 7. Calculate the number of H-atoms present in 9 g water.
Answer:
Molecular mass of H2O = 1 x 2 + 16 = 18
Hence, 9 g water = 9/18 = 0.5 mol water = 0.5 x 6.022 x 1023 molecules of water
Each molecule of water contains two H-atoms.
Hence, number of H-atoms in 9 g water = 2 x 0.5 x 6.022 x 1023 = 6.022 x 1023
Question 8. State whether number of atoms in
- 1 g oxygen atom,
- 1 g oxygen molecule and
- 1 g ozone molecule will be same or different? Justify your answer.
Answer:
1. 16 g O-atom = NA no. of O-atoms
∴ 1 g O-atom = \(\frac{N_A}{16}\) no. of O-atoms
2. 32 g O2 molecule = NA no. of O2 molecules
∴ 1 g O2 molecule = \(\frac{N_A}{32}\)no. of O2 molecules
= \(\frac{N_A}{32}\) x 2 no. of O-atoms = \(\frac{N_A}{16}\)no. of O-atoms.
3. 48 g O3 molecule = NA no. of O3 molecules
∴ 1 g O3 molecule = \(\frac{N_A}{48}\) no. of O3 molecules
= \(\frac{N_A}{48}\) x 3 no. of O-atoms = \(\frac{N_A}{16}\) no. of O-atoms.
Hence, number of atoms in each of the substances will be equal.
Question 9. Can you drink Avogadro’s number of water molecules? (Given: Density of water = 1g • m-1)
Answer:
Molecular mass of water = 2 x 1 + 16 = 18 Gram-molecular mass of water = 18 g and molar mass of water = 18 g • mol-1
Thus, the mass of Avogadro’s number (6.022 x 1023) of water molecules = 18 g
Density of water = 1g • mL-1.
Hence, volume of 18 g water = 18 x 1 = 18mL
Thus, one can easily drink 18 mL water (approximately one test tube of water) or Avogadro’s number (6.022 x 1023) of water molecules.
Question 10. What is the volume of 4.4 g CO2 at STP?
Answer:
Gram-molecular mass of CO2 = 12 + 16 x 2 = 44 g
Hence, at STP, volume of 44 g of CO2 = 22.4 L
∴ Volume of 4.4 g of CO2 at STP = \(\frac{22.4}{44}\) x 4.4L = 2.24 L
Question 11. At STP, the volume of 0.44 g of a gas is 224 cm3. Find the molecular mass of the gas.
Answer:
At STP, mass of 224 cm3 of the gas = 0.44 g
∴ At STP, the mass of 22.4L or 22400 cm3 of the gas = \(\frac{0.44}{224}\) x 22400g = 44g
Hence, the molecular mass of the gas = 44
Question 12. What is the volume of 8 g of oxygen at standard temperature and pressure?
Answer:
Molecular mass of oxygen = 32
∴ 1 gram-mole oxygen = 32 g oxygen
Hence, at STP, volume of 32 g oxygen is 22.4 L.
∴ At STP, volume of 8 g oxygen = \(\frac{22.4}{32}\) x 8L = 5.6 L
Question 13. Find the mass (in gram) of 5.6 L ammonia at STP.
Answer:
Gram-molecular mass of ammonia (NH3) = 14+ 1×3 = 17 g
Hence, at STP, the mass of 22.4 L of ammonia = 17 g
∴ At STP, the mass of 5.6 L of ammonia = \(\frac{17}{22.4}\) x 5.6 g = 4.25 g
Question 14. Find the volume of 4 g SO2 at standard temperature and pressure.
Answer:
Molecular mass of SO2 = 32 + 16 x 2 = 64
Hence, at STP, the volume of 64 g SO2 = 22.4L
∴ At STP, the volume of 4 g SO2 = \(\frac{22.4}{64}\) x 4L= 1.4 L
Question 15. What is the mass of 4 gram-moles of oxygen? What will be the volume of this quantity of oxygen at STP?
Answer:
Molecular mass of oxygen = 32
Hence, 1 gram-mole of oxygen = 32 g oxygen
∴ 4 gram-moles of oxygen = 4 x 32 g = 128 g oxygen
Volume of 1 gram-mole of oxygen at STP = 22.4 L
Therefore, the volume of 4 gram-moles of oxygen at STP = 4 X 22.4L = 89.6L
Question 16. State whether, at STP, both 22.4 L NH3 and 22.4 L CO2 will contain
- same number of molecules?
- same number of atoms?
Answer:
1. At STP, 22.4 L NH3 = 1 mol NH3 Now, 1 mol NH3 = 6.022 x 1023 molecules NH3
At STP, 22.4 L carbon dioxide = 1 mol carbon dioxide = 6.022 x 1023 molecules of CO2
Hence, both NH3 and carbon dioxide contain same number of molecules.
2. 1 molecule of NH3 contains 4 atoms.
Hence, number of atoms in 22.4 L NH3 at STP = 4 X 6.022 X 1023 = 24.088 X 1023
Again, 1 molecule of CO2 contains 3 atoms.
Hence, number of atoms in 22.4 L CO2 at STP = 3 X 6.022 X 1023 = 18.066 X 1023
Therefore, 22.4 L NH3 will contain more atoms than that in 22.4 L CO2.
Question 17. Find the number of constituent ions in 11.1 g calcium chloride.
Answer:
Gram-formula mass of calcium chloride (CaCI2) = 40 + 35.5 X 2 = 111 g
∴ Number of formula units in 111 g CaCl2 = 6.022 x 1023
∴ Number of formula units in 11.1 g CaCI2
= \(\frac{6.022 \times 10^{23}}{111}\) x 11.1 = 6.022 x 1022
Each formula unit of calcium chloride contains Ca2+ ions and 2CI– ions.
Hence, number of Ca2+ ions in 11.1 g CaCI2 = 1 x 6.022 X 1022 = 6.022 x 1022
Number of Cl– ions in 11.1 g CaCI2 = 2 X 6.022 X 1022 = 12.044 x 1022
Question 18. What is the gram-formula mass of NaCI? Calculate the number of gram-formula units present in 234 g of NaCI.
Answer:
Atomic masses of sodium and chlorine are 23 and 35.5 respectively.
Hence, formula mass of NaCI = 23 + 35.5 = 58.5
∴ Gram-formula mass of NaCI = 58.5g
Number of gram-formula units in 234 g NaCI = \(\frac{234 \mathrm{~g}}{58.5 \mathrm{~g}}\) = 4
Question 19. A mixture of hydrogen and oxygen contains 20% hydrogen by weight. Calculate total number of molecules present per gram of the mixture.
Answer:
Given
A mixture of hydrogen and oxygen contains 20% hydrogen by weight.
Mass of hydrogen in 1 g of the mixture = \(\frac{1 \times 20}{100} \mathrm{~g}\) 0.2 g
∴ Mass of oxygen in 1 g of mixture = (1 – 0.2) g = 0.8 g
Now, number of molecules of hydrogen in 0.2 g of hydrogen gas
= \(\frac{0.2}{2}\) X 6.022 X 1023 = 6.022 x 1023
Number of molecules of oxygen in 0.8 g of oxygen gas
= \(\frac{0.8}{32}\) x 6.022 x 1023 = 1.5055 x 1022
∴ Total number of molecules per gram of the mixture
= (6.022 + 1.5055) x 1022 = 7.5275 x 1022
Question 20. Calculate the total charge in 6 g of \(\mathrm{CO}_3^{2-}\) ion.
Answer:
Formula mass of \(\mathrm{CO}_3^{2-}\) ion = (12 + 3 x 16) = 60
∴ Number of moles of \(\mathrm{CO}_3^{2-}\) ion = \({6}{60}\) = 0.1
Now, total negative charge of a \(\mathrm{CO}_3^{2-}\) ion is equal to the negative charge of 2 electrons.
Again, total charge of 1 mol electron = 96500 C
Total charge of 6 g or 0.1 mol of \(\mathrm{CO}_3^{2-}\) ion = 2 X 0.1 X 96500 C = 19300 C
Question 21. Calculate the number of Na⊕ and ClΘ ions in 117 g of sodium chloride. [Na = 23, Cl = 35.5]
Answer:
Formula mass of sodium chloride = (23+ 35.5) = 58.5 117
∴ 117 g of NaCI = \({117}{58.5}\)= 2gram-formula mass of NaCI.
Now in NaCI, number of Na⊕ ions = number of ClΘ ions
∴ Number of Na® ions in 2 gram-formula mass of NaCI = number of ClΘ ions in 2 gram-formula mass of NaCI
= 2 x 6.022 x 1023 = 12.044 x 1023 = 1.2044 X 1024
Question 22. You have been given a glass of water mixed with 10 g glucose (C6H12O6). If you drink the entire solution, calculate the number of glucose molecules you have consumed.
Answer:
Molecular mass of glucose = 6 x 12 + 12 x 1 + 6 x 16 = 180
∴ Number of moles of glucose in 10 g = \(\frac{10}{180}\)= 0.0555
∴ Number of molecules of glucose in 10 g = 0.0555 X 6.022 X 1023 = 3.345 x 1022
∴ 3.345 x 1022 number of glucose molecules will be consumed.
Question 23. Calculate the number of electrons, protons and neutrons in 1 mol O2- ion.
Answer:
Number of electrons in an O2- ion = (8 + 2) = 10
Number of protons in an O2- ion = 8
∴ Number of neutrons in an O2- ion = (16 – 8) = 8 (assuming 8O1616 isotope)
Number of electrons in 1 mol O2- ion = 1 x 10 x 6.022 x 1023 = 6.022 x 1024
∴ Number of protons in 1 mol O2- ion = 1 X 8 x 6.022 X 1023 = 4.817 X 1024
∴ Number of neutrons in 1 mol O2- ion = 1 x 8 x 6.022 x 1023 = 4.817 x 1024
Question 24. Calculate the number of atoms and molecules in 124 g phosphorus.
Answer:
Atomic mass of phosphorus = 31
∴ 1 g-atom phosphorus =31 g phosphorus
Molecular mass of phosphorus =31 x 4 = 124
∴ 1 g-molecule phosphorus = 124 g phosphorus
∴ 124 g phosphorus = \(\frac{124}{31}\)g-atom phosphorus
= 4 g-atom phosphorus
= 4 x 6.022 x 1023 atoms of phosphorus
= 2.4088 x 1024 atoms of phosphorus 124 g phosphorus
= \(\frac{124}{124}\) g-molecule phosphorus
= 1 x 6.022 x 1023 molecules of phosphorus = 6.022 x 1023 molecules of phosphorus
Question 25. Calculate the number of hydrogen atoms in 1 L of water (at 4°C temperature).
Answer:
Density of water at 4°C = 1 g • mL-1
∴ Mass of 1 L or 1000 mL of water at 4°C = 1000 g
Now molecular mass of water = 1 x 2 + 16 = 18
∴ Number of molecules in 1000 g of water = \(\frac{6.022 \times 10^{23}}{18} \times 1000\) = 3.345 x 1025
Again, number of H-atoms in 1 molecule of water = 2
∴ Number of H-atoms in 1 L water = 2 X 3.345 X 1025 = 6.69 X 1025
Question 26. Calculate the number of hydrogen atoms present in 51 g ammonia gas. What will be the volume of that amount of gas at STP?
Answer:
Gram-molecular mass of NH3 = 17 g
∴ 51 g ammonia = \(\frac{51}{17}\) mol = 3 mol ammonia
Now, the number of H-atoms per molecule of ammonia= 3
∴ Number of H-atoms in 51 g or 3 mol ammonia gas = 3 x 3 x 6.022 x 1023 = 5.4198 x 1024
The volume of 51 g or 3 mol of ammonia gas at STP = 3 X 22.4 L = 67.2 L.
Question 27. Which one is heavier between 1 mol NO molecule and 0.5 mol NO2 molecule?
Answer:
Molecular mass of NO = 14 + 16 = 30
∴ Mass of 1 mol NO molecules = 30 g
Again, molecular mass of NO2 = 14 + 16 X 2 = 46
∴ Mass of 0.5 mol NO2 molecules = 46 X 0.5 = 23 g
∴ 1 mol NO molecules will be heavier than that of 0.5 mol NO2 molecules.
Question 28. Calculate the total number of atoms in 80 u helium.
Answer:
Mass of a helium atom = 4 u
∴ Number of atoms in 80 u helium = \(\frac{80u}{4u}\) = 20.
Question 29. Calculate the number of molecules left when 1021 molecules of CO2are removed from 200 mg of CO2•
Answer:
200 mg of CO2 = 0.2 g of CO2
Now, 44g of CO23 contains 6.022 x 1023 molecules
∴ 0.2 g of CO2 contains
⇒ \(\frac{6.022 \times 10^{23} \times 0.2}{44}=2.7372 \times 10^{21}\) molecules
∴ On removing 1021 molecules, number of CO2 molecules left
= 2.7372 X 1021 – 1021 = 1.7372 X 1021
Chapter 4 Matter Concept Of Mole Topic C Chemical Calculation Using Molar Mass Molar Volume And Formula Mass Miscellaneous Type Questions
Match The Columns
1.
Answer: 1. B, 2. A, 3. D, 4. C
2.
Answer: 1. D, 2. A, 3. B, 4. C