All Problems

First law of thermodynamics, heat capacity

Problem 2.61

What amount of heat has to be transferred to \(v=3.0\) moles of carbon dioxide to keep its temperature constant while it expands into vacuum from the volume \(V_{1}=5.0\) \(\mathrm{l}\) to \(V_{2}=10\) \(\mathrm{l}\)? The gas is assumed to be a Van der Waals gas.

Reveal Answer
Q=v2a(V2V1)/V1V2=0.33 kJQ=v^{2} a\left(V_{2}-V_{1}\right) / V_{1} V_{2}=0.33 \mathrm{~kJ}