Q. When a sample of gas is compressed at constant temperature from 15 atm to 60 atm, its volume changes from$76\ cm^{3}\ to\ 20.5\ cm^{3}$. Which of the following statements are possible explanations of this behaviour? 1. The gas behaves non-ideally 2. The gas dimerises 3. The gas is absorbed into the vessel walls

A) 1, 2, and 3
B) 1 and 2 only
C) 2 and 3 only
D) 1 only
Explanation

(d)
At constant temperature, for ideal gas,
$p_{1}V_{1} = p_{2}V_{2}$
For the given sample,
$15 \times 76 = 60 \times 20.5$
$\therefore p_{1}V_{1} \neq p_{2}V_{2}$
$\therefore$ The gas behaves non-ideally. However the gas neither undergo dimerisation nor adsorbed into the vessel walls.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.