Q157 · CSIR-NET Chemistry, December 2019

Paper: CSIR-NET December 2019 · Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Marks: 2 · Difficulty: Medium

A monatomic perfect gas undergoes expansion from $\left(\mathrm{p}_{1}, \mathrm{V}_{1}\right)$ to $\left(\mathrm{p}_{2}, \mathrm{V}_{2}\right)$ under isothermal or adiabatic conditions. The pressure of the gas will fall more rapidly under adiabatic conditions because Options:

(a)$\mathrm{p} \propto \dfrac{1}{\mathrm{V}}$

(b)$\mathrm{p} \propto \dfrac{1}{\mathrm{V}^{7/5}}$

(c)$\mathrm{p} \propto \dfrac{1}{\mathrm{V}^{3/2}}$

(d)$\mathrm{p} \propto \dfrac{1}{\mathrm{V}^{5/3}}$

Answer

Answer: D ✓ checked by 4AB · confidence high

Explanation

Adiabatic: pV^γ = const with γ = 5/3 for a monatomic gas, so p ∝ V^(−5/3) falls faster than the isothermal p ∝ 1/V (d).

Study loop for Thermodynamics

1. Practise the PYQsPrevious-year questions, with answers

· Browse this chapter in the app