Menu

Isobaric cubic expansion coefficient

Values for calculation

$ \{τ\in\mathbb{R}\mid τ>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.
$ τ $
$ \{γ_{πτ}\in\mathbb{R}\} $
This set includes all real numbers.
$ γ_{πτ} $
$ \{γ_π\in\mathbb{R}\} $
This set includes all real numbers.
$ γ_π $
$ \{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} $
$ \{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^r_π\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^r_π $
$ \{γ^r_{πτ}\in\mathbb{R}\} $
This set includes all real numbers.
$ γ^r_{πτ} $
$ \{φ_δ\in\mathbb{R}\} $
This set includes all real numbers.
$ φ_δ $
$ \{φ_{δτ}\in\mathbb{R}\} $
This set includes all real numbers.
$ φ_{δτ} $
$ \{δ\in\mathbb{R}\mid δ>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.
$ δ $
$ \{φ_{δδ}\in\mathbb{R}\} $
This set includes all real numbers.
$ φ_{δδ} $
$ \text{Region} $

Calculation

Isobaric cubic expansion coefficient

$\text{if }\ \text{Region}= 1$
$\text{if }\ \text{Region}= 1$
Equations in LaTeX code
\text{if }\ \text{Region}= 1
$$α_ν=\cfrac{1-\cfrac{τ\cdot γ_{πτ}}{γ_π}}{\left(T+273.15\right)}$$
$α_ν=\cfrac{1-\cfrac{τ\cdot γ_{πτ}}{γ_π}}{\left(T+273.15\right)}$
Equations in LaTeX code
α_ν=\cfrac{1-\cfrac{τ\cdot γ_{πτ}}{γ_π}}{\left(T+273.15\right)}
$\text{else if }\ \text{Region}= 2$
$\text{else if }\ \text{Region}= 2$
Equations in LaTeX code
\text{else if }\ \text{Region}= 2
$$α_ν=\cfrac{1+π\cdot γ^r_π-τ\cdot π\cdot γ^r_{πτ}}{\left(1+π\cdot γ^r_π\right)\cdot\left(T+273.15\right)}$$
$α_ν=\cfrac{1+π\cdot γ^r_π-τ\cdot π\cdot γ^r_{πτ}}{\left(1+π\cdot γ^r_π\right)\cdot\left(T+273.15\right)}$
Equations in LaTeX code
α_ν=\cfrac{1+π\cdot γ^r_π-τ\cdot π\cdot γ^r_{πτ}}{\left(1+π\cdot γ^r_π\right)\cdot\left(T+273.15\right)}
$\text{else if }\ \text{Region}= 3$
$\text{else if }\ \text{Region}= 3$
Equations in LaTeX code
\text{else if }\ \text{Region}= 3
$$α_ν=\cfrac{φ_δ-τ\cdot φ_{δτ}}{\left(2\cdot φ_δ+δ\cdot φ_{δδ}\right)\cdot \left(T+273.15\right)}$$
$α_ν=\cfrac{φ_δ-τ\cdot φ_{δτ}}{\left(2\cdot φ_δ+δ\cdot φ_{δδ}\right)\cdot \left(T+273.15\right)}$
Equations in LaTeX code
α_ν=\cfrac{φ_δ-τ\cdot φ_{δτ}}{\left(2\cdot φ_δ+δ\cdot φ_{δδ}\right)\cdot \left(T+273.15\right)}
$\text{else if }\ \text{Region}= 5$
$\text{else if }\ \text{Region}= 5$
Equations in LaTeX code
\text{else if }\ \text{Region}= 5
$$α_ν=\cfrac{1+π\cdot γ^r_π-τ\cdot π\cdot γ^r_{πτ}}{\left(1+π\cdot γ^r_π\right)\cdot\left(T+273.15\right)}$$
$α_ν=\cfrac{1+π\cdot γ^r_π-τ\cdot π\cdot γ^r_{πτ}}{\left(1+π\cdot γ^r_π\right)\cdot\left(T+273.15\right)}$
Equations in LaTeX code
α_ν=\cfrac{1+π\cdot γ^r_π-τ\cdot π\cdot γ^r_{πτ}}{\left(1+π\cdot γ^r_π\right)\cdot\left(T+273.15\right)}
$\text{else}$
$\text{else}$
Equations in LaTeX code
\text{else}
$$α_ν=0$$
$α_ν=0$
Equations in LaTeX code
α_ν=0
On this page