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Display information for equation id:math.2529.36 on revision:2529

* Page found: Chemische Reaktionen (eq math.2529.36)

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Chemische Reaktionen Eq: math.2532.36

Hash: bb02c0038f42b39f1295a095d2f53856

TeX (original user input):

\begin{align}

& dG=-SdT+Vdp+\sum\limits_{i}^{{}}{{}}{{{\tilde{\mu }}}_{i}}\sum\limits_{\rho }^{{}}{{}}{{v}_{i\rho }}d{{\xi }_{\rho }}=-SdT+Vdp+\sum\limits_{\rho }^{{}}{{}}{{A}_{\rho }}d{{\xi }_{\rho }} \\

& S=-{{\left( \frac{\partial G}{\partial T} \right)}_{p,{{\xi }_{\rho }}}} \\

& {{A}_{\rho }}=-{{\left( \frac{\partial G}{\partial {{\xi }_{\rho }}} \right)}_{T,p}} \\

\end{align}

TeX (checked):

{\begin{aligned}&dG=-SdT+Vdp+\sum \limits _{i}^{}{}{{\tilde {\mu }}_{i}}\sum \limits _{\rho }^{}{}{{v}_{i\rho }}d{{\xi }_{\rho }}=-SdT+Vdp+\sum \limits _{\rho }^{}{}{{A}_{\rho }}d{{\xi }_{\rho }}\\&S=-{{\left({\frac {\partial G}{\partial T}}\right)}_{p,{{\xi }_{\rho }}}}\\&{{A}_{\rho }}=-{{\left({\frac {\partial G}{\partial {{\xi }_{\rho }}}}\right)}_{T,p}}\\\end{aligned}}

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MathML (2.978 KB / 509 B) :

\begin{aligned} d G = - S d T + V d p + \sum_{i}^{} {\tilde{μ}}_{i} \sum_{ρ}^{} v_{i ρ} d ξ_{ρ} = - S d T + V d p + \sum_{ρ}^{} A_{ρ} d ξ_{ρ} \\ S = - {(\frac{\partial G}{\partial T})}_{p, ξ_{ρ}} \\ A_{ρ} = - {(\frac{\partial G}{\partial ξ_{ρ}})}_{T, p} \end{aligned}

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Identifiers

$d$

$G$

$S$

$d$

$T$

$V$

$d$

$p$

$i$

${\tilde{μ}}_{i}$

$ρ$

$v_{i ρ}$

$d$

$ξ_{ρ}$

$S$

$d$

$T$

$V$

$d$

$p$

$ρ$

$A_{ρ}$

$d$

$ξ_{ρ}$

$S$

$G$

$T$

$p$

$ξ_{ρ}$

$A_{ρ}$

$G$

$ξ_{ρ}$

$T$

$p$

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