Chapter 3, Problem 3B.2E

Interpretation Introduction

Interpretation:

The volume of the gas be compressed to reduce its entropy by $\text{10}\text{.0}{\text{JK}}^{-1}$ has to be calculated.

Concept Information:

Isothermal expansion of perfect gas: When a perfect gas expands reversible and isothermally from a Volume ${\text{V}}_i$ to Volume ${\text{V}}_{\text{f}}$, the expansion is reversible and that the change in entropy of the system is,

$\text{ΔS}\text{=}\text{nR}\text{ln}\left(\frac{{\text{V}}_{\text{f}}}{{\text{V}}_{\text{i}}}\right)$

Where,

N is the moles of gas,

R is the universal gas constant,

${\text{V}}_{\text{f}}$ is the final volume of the gas,

${\text{V}}_i$ is the initial volume of the gas.