prove that eq

Since RT1=P1V1 and RT2=P2V2, this expression may be written: W=1RT2RT1=1P2V2P1V1 Equations (3.31) and (3.32) are general for an adiabatic process, whether reversible or not. However, V2 is usually not known, and is eliminated from Eq. (3.32) by Eq. (3.29c), valid only for mechanically reversible processes. This leads to the expression: W=1P1V1[(P1P2)(1)/1]=1RT1[(P1P2)(1)/1]