Kinetic Theory - Result Question 35

35. If for a gas, $\frac{R}{C_v}=0.67$, the gas is made up of molecules which are

[1992]

(a) diatomic

(b) mixture of diatomic and polyatomic molecules (c) monoatomic

(d) polyatomic

Show Answer

Answer:

Correct Answer: 35. (c)

Solution:

  1. (c) Since $\frac{R}{C_V}=0.67 \Rightarrow C_V=\frac{3}{2} R$, hence gas is monoatomic. For a gas having $f$ degree of freedom specific heat at constant volume, $C_v=\frac{1}{2} f R$ specific heat at constant pressure,

$ C_p=(\frac{f}{2}+1) R $

where, $R=$ universal gas constant