## Essential University Physics: Volume 1 (3rd Edition)

We know that equation 18.3 states: $W=-\int_{V_1}^{V_2}PdV$ For an adiabatic process, we know the following equation is true: $PV^{\gamma}=c$ Where c is a constant. Substituting this equation into equation 18.3 and taking the integral, it follows: $W = P(\frac{V_2-V_1}{\gamma-1})$ $W = (\frac{PV_2-PV_1}{\gamma-1})$ This is equation 18.12.