A pure monatomic perfect gas with \(c_{p}=5 \Re / 2\) flows from one reservoir to another through a porous plug. The heat of transport of the gas through the plug is \(-\Re T / 2\). If the system is adiabatic, and the thermal conductivities of the gas and the plug are negligible, evaluate the temperature of the plug if the upstream temperature is \(60{ }^{\circ} \mathrm{C}\).

\(\left[73^{\circ} \mathrm{C}\right]\)