Second Law of Thermodynamics

An ideal gas is heated from temperature T1 to temperature T2 by keeping its volume constant. The gas is expanded back to its initial temperature according to the law PVn = constant. If the entropy changes in the two processes are equal, find the value of n in terms of the adiabatic index γ

Change in entropy during constant volume process is given as: = m cv ln (T2 / T1) Change in entropy during polytropic process i.e. (PVn = constant) = m cv…