Recent questions in Thermodynamic Relations

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Consider a real gas, which obeys the following equation-of-state:$$v=\dfrac{R T}{P}+C_{1}-\dfrac{C_{2}}{P v},$$where $v$ is the mass specific volume, $P$ is the pressure,...
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A fluid undergoes a process where its pressure $(P)$, temperature $(T)$ and volume $(V)$ changes from $\left(P_{1}, T_{1}, V_{1}\right)$ to $\left(P_{2}, T_{2}, V_{2}\rig...
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 It is given that: $\left(\dfrac{\partial h}{\partial T}\right)_{P}=c_{p}$ and $\left(\dfrac{\partial h}{\partial P}\right)_{T}=(v-\beta T v)$. Here $h$ is the mass speci...
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The standard free energy change for the reaction, $\mathrm{SO}_{2}+\frac{1}{2} \mathrm{O}_{2} \rightleftharpoons \mathrm{SO}_{3}$ at equilibrium is given by $\Delta \text...
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Given $v$ is the molar specific volume, $P$ is the pressure, $T$ is the temperature, $R$ is the Universal gas constant, and $a, b$ are van der Waal's constants.The van de...
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In a graph with Helmholtz function on the $y$-axis and volume on the $x$-axis, the slope of the isothermal curves for a finite volume system containing an ideal gas isalw...
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The equation of state for a non-ideal gas is\[\frac{P v}{R T}=1+B P\]where $P$ is pressure, $v$ is specific volume, $R$ is the specific gas constant, $T$ is temperature, ...
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