Derive an equation for the temperature dependence of the vapor pressure of a liquid (analogous to the integrated form of the ClausiusClapeyron

Derive an equation for the temperature dependence of the vapor pressure of a liquid (analogous to the integrated form of the Clausius‐Clapeyron equation) assuming that the vapor has the equation of state PV=RT+M where M is a constant. Please state the assumptions required to get the final format.