BSC KINETIC THEORY OF GASES PASS COURSE QUESTIONS
QUESTION BANK
FOR UNIVERSITY OF KALYANI , KNU, WBSU,BU, CU...
CHAPTER-KINETIC THEORY OF GASES
3rd Semester (Hons./Ge/Prog.)
1. State the assumptions of kinetic theory of gases. Deduce
an expression for the pressure of a gas from the stand point of kinetic theory.
2. What are the assumptions made in the kinetic theory of gases?
Are all of them justified? Give some experimental in favour of the kinetic
theory.
3. Explain what is meant by root mean square velocity of
molecules of a gas. Deduce the relation between the root mean square velocity,
pressure and density of a gas.
4. Show that the pressure exerted by a perfect gas us
two-thirds of the kinetic energy of the gas molecules in a unit volume.
5. Explain how Boyle’s law, Charles ‘law, Avogadro’s’
hypothesis and graham’s law if diffusion follow from the kinetic theory of gas.
6. State the law of equipartition of energy .Show how you can use the law to
calculate the specific heats of gases and hence finds the value of ϓ
for diatomic and triatomic gases.
7. State and explain Maxwell’s law of velocity distribution
of molecules .Show the distribution graphically.
8. Assuming maxwell’s law of velocity distribution, derive
expressions for the most probable, average and r.m.s. speed.
9. Write down Maxwell’s equation for the distribution of molecular
velocity and explain it. Obtain expressions for most probable velocity and
average velocity using the distribution equation.
10. (a)What do you mean by degrees of freedom of a dynamical
system. Show that ϓ=1+2/f where ϓ=ratio two specific heats of a gas and
f=degrees of freedom. Calculate the values of ϓ for a monatomic, diatomic and
triatomic gas.
(b)Starting from the expression of pressure p=1/3ϱc2
where ϱ =density of a gas and c=r.m.s. velocity of a gas molecules, show that (1)
ϱ=2/3E, where E is the kinetic energy of the molecules per unit volume (2)PV=RT(3)kinetic
energy of a molecules=3/2KT.
11.What do you understand by a perfect gas?
12. What is r.m.s velocity? Distinguish between r.m.s.velocity and
average velocity of gas molecules.
13. (A) what is kinetic interpretation of temperature of a gas?
(b)State an explain the principle of equipartition of energy.
14. Draw the velocity distribution curve of molecules of an ideal
gas at a given temperature and indicate the most probable velocity.
15. Draw the curve showing Maxwell’s distribution of molecular
speed and locate approximately the position of r.m.s.speed.
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