All Problems

Second law of thermodynamics, entropy

Problem 2.131

The entropy of v=4.0v=4.0 moles of an ideal gas increases by ΔS=23 J/K\Delta S=23 \mathrm{~J} / \mathrm{K} due to the isothermal expansion. How many times should the volume v=4.0v=4.0 moles of the gas be increased?

Reveal Answer
n=eΔS/vk=2.0n=e^{\Delta S / v_{k}}=2.0