The total heat required when discharge temperature is above vaporizing temperature.

\begin{equation}\label{eq:liquid-load-charge-material-full-heat-cpp} Q_{liq} = Q_{sens,liq} + Q_{vap} + Q_{sens,vapor} + Q_{sens,remliq}\end{equation}

\begin{equation}\label{eq:liquid-load-charge-material-sensible-heat-to-vaporizing-cpp} Q_{sens,liq} = m_{feed} \cdot C_{p,liq} \cdot (T_{vaporizing} - T_{initial})\end{equation}

\begin{equation}\label{eq:liquid-load-charge-material-vaporization-heat-cpp} Q_{vap} = m_{feed} \cdot f_{vaporized} \cdot H_{latent}\end{equation}

\begin{equation}\label{eq:liquid-load-charge-material-sensible-heat-vapor-cpp} Q_{sens,vapor} = m_{feed} \cdot f_{vaporized} \cdot C_{p,vapor} \cdot (T_{discharge} - T_{vaporizing})\end{equation}

\begin{equation}\label{eq:liquid-load-charge-material-sensible-heat-remaining-liq-cpp} Q_{sens,remliq} = m_{feed} \cdot (1-f_{vaporized}) \cdot C_{p,liq} \cdot (T_{discharge} - T_{vaporizing})\end{equation}

Symbols

\(Q_{liq}\)	Heat required for liquid heating/vaporization \([\unit{ \btu\per\hour}]\)
\(Q_{sens,liq}\)	Sensible heat to vaporizing temperature \([\unit{ \btu\per\hour}]\)
\(Q_{vap}\)	Vaporization heat \([\unit{ \btu\per\hour}]\)
\(Q_{sens,vapor}\)	Sensible heat for vaporized fraction \([\unit{ \btu\per\hour}]\)
\(Q_{sens,remliq}\)	Sensible heat for remaining liquid \([\unit{ \btu\per\hour}]\)
\(m_{feed}\)	Charge (liquid) feed rate \([\unit{ \pound\per\hour}]\)
\(C_{p,liq}\)	Specific heat of liquid \([\unit{ \btu\per\pound\degreeFahrenheit}]\)
\(T_{vaporizing}\)	Vaporizing temperature \([\unit{ \degreeFahrenheit}]\)
\(T_{initial}\)	Initial temperature \([\unit{ \degreeFahrenheit}]\)
\(f_{vaporized}\)	Fraction of charge vaporized \([\unit{ \unitless}]\)
\(H_{latent}\)	Latent heat of vaporization \([\unit{ \btu\per\pound}]\)
\(C_{p,vapor}\)	Specific heat of vapor \([\unit{ \btu\per\pound\degreeFahrenheit}]\)
\(T_{discharge}\)	Discharge temperature \([\unit{ \degreeFahrenheit}]\)