All Problems

Second law of thermodynamics, entropy

Problem 2.120

An ideal gas goes through a cycle consisting of (a) isochoric, adiabatic, and isothermal lines; (b) isobaric, adiabatic, and isothermal lines, with the isothermal process proceeding at the minimum temperature of the whole cycle. Find the efficiency of each cycle if the absolute temperature varies \(n\) -fold within the cycle.

Reveal Answer
 In both cases η=1lnnn1\text { In both cases } \eta=1-\frac{\ln n}{n-1}