Question

The volume of a gas at 20°C is 100cm^3 at normal pressure. If it is heated to 100°C, its volume becomes 125cm^3 at the same pressure, then volume coefficients of the gas (at normal pressure) is?

(a) 0.0033/°C

(b) 0.0025/°C

(c) 0.0030/°C

(d) 0.0021/°C

This question was addressed to me in an interview for job.

Enquiry is from Absorption and Emission in section Kinetic Theory of Gases of Engineering Physics I

Answer 1

Right choice is (a) 0.0033/°C

To elaborate: Vt=V0 (1+γt)

V100/V20 =(1+100γ)/(1+20γ )=125/100=3/4

γ=1/300=0.0033/°C.