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Display information for equation id:math.2509.83 on revision:2509

* Page found: Reale Gase (eq math.2509.83)

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Reale Gase Eq: math.2511.83

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TeX (original user input):

\begin{align}

& {{\kappa }_{T}}=-\frac{1}{v}{{\left( \frac{\partial v}{\partial p} \right)}_{T}}\tilde{\ }\frac{1}{{{\left( \frac{\partial p}{\partial v} \right)}_{T}}}=\infty  \\

& \alpha =\frac{1}{v}{{\left( \frac{\partial v}{\partial T} \right)}_{p}}=-\frac{{{\left( \frac{\partial p}{\partial T} \right)}_{v}}}{v{{\left( \frac{\partial p}{\partial v} \right)}_{T}}}=\infty  \\

& {{c}_{p}}={{c}_{v}}+T{{\left( \frac{\partial p}{\partial T} \right)}_{v}}{{\left( \frac{\partial v}{\partial T} \right)}_{p}}=\infty  \\

& {{\left( \frac{\partial v}{\partial T} \right)}_{p}}\to \infty  \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\kappa }_{T}}=-{\frac {1}{v}}{{\left({\frac {\partial v}{\partial p}}\right)}_{T}}{\tilde {\ }}{\frac {1}{{\left({\frac {\partial p}{\partial v}}\right)}_{T}}}=\infty \\&\alpha ={\frac {1}{v}}{{\left({\frac {\partial v}{\partial T}}\right)}_{p}}=-{\frac {{\left({\frac {\partial p}{\partial T}}\right)}_{v}}{v{{\left({\frac {\partial p}{\partial v}}\right)}_{T}}}}=\infty \\&{{c}_{p}}={{c}_{v}}+T{{\left({\frac {\partial p}{\partial T}}\right)}_{v}}{{\left({\frac {\partial v}{\partial T}}\right)}_{p}}=\infty \\&{{\left({\frac {\partial v}{\partial T}}\right)}_{p}}\to \infty \\\end{aligned}}

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\begin{aligned} κ_{T} = - \frac{1}{v} {(\frac{\partial v}{\partial p})}_{T} \tilde{} \frac{1}{{(\frac{\partial p}{\partial v})}_{T}} = \infty \\ α = \frac{1}{v} {(\frac{\partial v}{\partial T})}_{p} = - \frac{{(\frac{\partial p}{\partial T})}_{v}}{v {(\frac{\partial p}{\partial v})}_{T}} = \infty \\ c_{p} = c_{v} + T {(\frac{\partial p}{\partial T})}_{v} {(\frac{\partial v}{\partial T})}_{p} = \infty \\ {(\frac{\partial v}{\partial T})}_{p} \to \infty \end{aligned}

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Identifiers

$κ_{T}$

$v$

$v$

$p$

$T$

$\tilde{}$

$p$

$v$

$T$

$α$

$v$

$v$

$T$

$p$

$p$

$T$

$v$

$v$

$p$

$v$

$T$

$c_{p}$

$c_{v}$

$T$

$p$

$T$

$v$

$v$

$T$

$p$

$v$

$T$

$p$

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