A note on integrating the Clapeyron equation without neglecting the specific fluid volume

Under certain approximations, the Clapeyron equation can be integrated to yield a simple exponential relation giving saturation vapor pressure over condensed phase as function of temperature. The derivation usually assumes that behaves an ideal gas with constant specific heat, and fluid also has heat. In addition, volume is neglected in comparison volume. this case, separable readily integrable closed form. It shown here latter assumption not required. A closed-form between temperature derived which includes phase-specific Two examples use result are presented.