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Isothermal compressibility

Values for calculation

π
γ_{ππ}
γ_π
p \mathrm{Pa}
γ^r_{ππ}
γ^r_π
δ
φ_δ
φ_{δδ}
ρ \mathrm{kg\cdot\ m^{-3}}
R \mathrm{J\cdot\ kg^{-1}\cdot\ K^{-1}}
T \mathrm{°C}
\text{Region}

Calculation

Isothermal compressibility

\text{if }\ \text{Region}= 1
κ_T=\cfrac{-\cfrac{π\cdot γ_{ππ}}{γ_π}}{p}
\text{else if }\ \text{Region}= 2
κ_T=\cfrac{1-π^2\cdot γ^r_{ππ}}{\left(1+π\cdot γ^r_π\right)\cdot p}
\text{else if }\ \text{Region}= 3
κ_T=\cfrac{1}{\left(2\cdot δ\cdot φ_δ+δ^2\cdot φ_{δδ}\right)\cdot ρ\cdot R\cdot\left(T+273.15\right)}
\text{else if }\ \text{Region}= 5
κ_T=\cfrac{1-π^2\cdot γ^r_{ππ}}{\left(1+π\cdot γ^r_π\right)\cdot p}
\text{else}
κ_T=0