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Covers the study of (primarily homogeneous) macroscopic systems from a heat/energy/entropy point of view. Consider also using the tag: [statistical-mechanics].

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How can I find the fundamental equation of the system?

A gas respects the following equations $$T=\frac 32(u+\frac 1v)$$ $$P= \frac Tv -\frac1{v^2}$$ Where $T$ is a thermodynamic temperature, $P$ is the pressure, $v$ the specific volume and $u$ the specif …
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Derivation of the state equation of a van der Waals gas. Can I invert the derivative to help...

The state equation of a van der Waals gas is $$\left(P+\frac{a}{v^2}\right)(v-b)=RT$$ with $a,b$ and $R$ constant. Find $$\frac{\partial v}{\partial T}\bigg\rvert_P.$$ Finding $\frac{\partial v}{\pa …
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