All Problems

Second law of thermodynamics, entropy

Problem 2.130

Find the entropy increment of one mole of carbon dioxide when its absolute temperature increases \(n=2.0\) times if the process of heating is (a) isochoric; (b) isobaric. The gas is to be regarded as ideal.

Reveal Answer
 (a) ΔS=Rlnnν1=19 J/(Kmol) (b) ΔS=γRlnnγ1==25 J/(Kmol)\text { (a) } \Delta S=\frac{R \ln n}{\nu-1}=19 \mathrm{~J} /(\mathrm{K} \cdot \mathrm{mol}) \text { (b) } \Delta S=\frac{\gamma R \ln n}{\gamma-1}= =25 \mathrm{~J} /(\mathrm{K} \cdot \mathrm{mol})