MEASUR-Tools-Suite v1.0.11
The MEASUR Tools Suite is a collection of industrial efficiency calculations written in C++ and with bindings for compilation to WebAssembly.
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The specific heat of the gas varies with temperature and is calculated using polynomial correlations. The specific heat per standard volume is derived from the mass-based specific heat.

Specific Heat per Standard Volume

\begin{equation}\label{eq:leakage-cpsv} c_{psv} = 0.0793 \cdot c_{pm}\end{equation}

Mass-Based Specific Heat

\begin{equation}\label{eq:leakage-cpm} c_{pm} = 0.2371 - 9 \times 10^{-6} \cdot T_{\text{midpoint}} + 7 \times 10^{-8} \cdot T_{\text{midpoint}}^2 - 3 \times 10^{-11} \cdot T_{\text{midpoint}}^3\end{equation}

Midpoint Temperature

\begin{equation}\label{eq:leakage-midpoint} T_{\text{midpoint}} = \frac{T_{\text{leak}} + T_{\text{amb}}}{2}\end{equation}

Symbols
\(c_{psv}\)Specific heat of gas at average temperature \([\unit{ \btu\per\cubicFoot\degreeFahrenheit}]\)
\(c_{pm}\)Specific heat of gas at midpoint temperature \([\unit{ \btu\per\pound\degreeFahrenheit}]\)
\(T_{\text{midpoint}}\)Midpoint temperature \([\unit{ \degreeFahrenheit}]\)
\(T_{\text{leak}}\)Temperature of leaking gases \([\unit{ \degreeFahrenheit}]\)
\(T_{\text{amb}}\)Ambient temperature \([\unit{ \degreeFahrenheit}]\)
\(0.0793\)Conversion factor from mass-based to volume-based specific heat \([\unit{ \unitless}]\)