Work done per mol in an isothermal change is | PHYSICS - HEAT, INTERNAL ENERGY AND WORK | SolveeIt

Work done per mol in an isothermal change is

$RT\log_{10}\frac{V_{2}}{V_{1}}$

$RT\log_{10}\frac{V_{1}}{V_{2}}$

$RT\log_{e}\frac{V_{2}}{V_{1}}$

$RT\log_{e}\frac{V_{1}}{V_{2}}$

Answer

$RT\log_{e}\frac{V_{2}}{V_{1}}$

Explanation

For isothermal process

$PV = RT \Rightarrow P = \frac{RT}{V}$

$\therefore$ W $= PdV = \int_{V_{1}}^{V_{2}}{\frac{RT}{V}dV = RT}\log_{e}\frac{V_{2}}{V_{1}}$

Question: Work done per mol in an isothermal change is...