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Specific volume

Values for calculation

$ \{π\in\mathbb{R}\mid π>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ π $
$ \{γ_π\in\mathbb{R}\} $
This set includes all real numbers.
$ γ_π $
$ R $ $ \mathrm{J\cdot\ kg^{-1}\cdot\ K^{-1}} $
$ \{T\in\mathbb{R}\mid T\geq0\} $
This set includes all real numbers that are greater than or equal to zero. Therefore, it contains all positive numbers and zero, but no negative numbers.
$ T $ $ \mathrm{°C} $
$ \{p\in\mathbb{R}\mid p>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ p $ $ \mathrm{Pa} $
$ \{γ^o_π\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^o_π $
$ \{γ^r_π\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^r_π $
$ \{ρ\in\mathbb{R}\mid ρ>0\} $
This set includes all real numbers that are greater than zero. Therefore, it contains only positive numbers. Zero and negative numbers are not included in this set.
$ ρ $ $ \mathrm{kg\cdot\ m^{-3}} $
$ \text{Region} $

Calculation

Specific volume

$\text{if }\ \text{Region}= 1$
$\text{if }\ \text{Region}= 1$
Equations in LaTeX code
\text{if }\ \text{Region}= 1
$$ν=\cfrac{π\cdot γ_π\cdot R\cdot\left(T+273.15\right)}{p}$$
$ν=\cfrac{π\cdot γ_π\cdot R\cdot\left(T+273.15\right)}{p}$
Equations in LaTeX code
ν=\cfrac{π\cdot γ_π\cdot R\cdot\left(T+273.15\right)}{p}
$\text{else if }\ \text{Region}= 2$
$\text{else if }\ \text{Region}= 2$
Equations in LaTeX code
\text{else if }\ \text{Region}= 2
$$ν=π\cdot\left(γ^o_π+γ^r_π\right)\cdot\cfrac{R\cdot\left(T+273.15\right)}{p}$$
$ν=π\cdot\left(γ^o_π+γ^r_π\right)\cdot\cfrac{R\cdot\left(T+273.15\right)}{p}$
Equations in LaTeX code
ν=π\cdot\left(γ^o_π+γ^r_π\right)\cdot\cfrac{R\cdot\left(T+273.15\right)}{p}
$\text{else if }\ \text{Region}= 3$
$\text{else if }\ \text{Region}= 3$
Equations in LaTeX code
\text{else if }\ \text{Region}= 3
$$ν=\cfrac{1}{ρ}$$
$ν=\cfrac{1}{ρ}$
Equations in LaTeX code
ν=\cfrac{1}{ρ}
$\text{else if }\ \text{Region}= 5$
$\text{else if }\ \text{Region}= 5$
Equations in LaTeX code
\text{else if }\ \text{Region}= 5
$$ν=π\cdot\left(γ^o_π+γ^r_π\right)\cdot\cfrac{R\cdot\left(T+273.15\right)}{p}$$
$ν=π\cdot\left(γ^o_π+γ^r_π\right)\cdot\cfrac{R\cdot\left(T+273.15\right)}{p}$
Equations in LaTeX code
ν=π\cdot\left(γ^o_π+γ^r_π\right)\cdot\cfrac{R\cdot\left(T+273.15\right)}{p}
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$ν=0$$
$ν=0$
Equations in LaTeX code
ν=0
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