Thermodynamic Potential
Tags: #physics #thermodynamicsEquation
$$dG=-SdT+Vdp+\sum_i\mu_idn_i \\ \displaystyle\mu=\left(\frac{\partial G}{\partial n_i}\right)_{p,T,n_j} \\ V=\sum_{i=1}^c n_i\left(\frac{\partial V}{\partial n_i}\right)_{n_j,p,T}:=\sum_{i=1}^c n_i V_i \\ \begin{aligned} V_m&=&\sum_i x_i V_i\\ 0&=&\sum_i x_i dV_i\end{aligned}$$Latex Code
dG=-SdT+Vdp+\sum_i\mu_idn_i \\
\displaystyle\mu=\left(\frac{\partial G}{\partial n_i}\right)_{p,T,n_j} \\
V=\sum_{i=1}^c n_i\left(\frac{\partial V}{\partial n_i}\right)_{n_j,p,T}:=\sum_{i=1}^c n_i V_i \\
\begin{aligned} V_m&=&\sum_i x_i V_i\\ 0&=&\sum_i x_i dV_i\end{aligned}
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Introduction
Equation
Latex Code
dG=-SdT+Vdp+\sum_i\mu_idn_i \\
\displaystyle\mu=\left(\frac{\partial G}{\partial n_i}\right)_{p,T,n_j} \\
V=\sum_{i=1}^c n_i\left(\frac{\partial V}{\partial n_i}\right)_{n_j,p,T}:=\sum_{i=1}^c n_i V_i \\
\begin{aligned} V_m&=&\sum_i x_i V_i\\ 0&=&\sum_i x_i dV_i\end{aligned}
Explanation
Latex code for the Thermodynamic Potential. I will briefly introduce the notations in this formulation.
: thermodynamic potential.
: partial volume of component i.
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The anxiety of this exam is overwhelming; I hope I pass.
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