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For a closed, simple compressible system, which of the following thermodynamic relations is always valid, irrespective of the process, assuming only reversible processes and equilibrium states?
For a closed, simple compressible system, which of the following thermodynamic relations is always valid, irrespective of the process, assuming only reversible processes and equilibrium states?
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A helpful mnemonic for Maxwell's relations is the thermodynamic square.
The variables $S$ and $P$ are diagonally opposite to $V$ and $T$, and the negative sign arises when moving between variables of opposite differential signs.
The variables $S$ and $P$ are diagonally opposite to $V$ and $T$, and the negative sign arises when moving between variables of opposite differential signs.
Updated On: Jul 9, 2026
- $\left(\frac{\partial U}{\partial V}\right)_T = T \left(\frac{\partial P}{\partial T}\right)_V - P$
- $\left(\frac{\partial H}{\partial P}\right)_T = -T \left(\frac{\partial V}{\partial T}\right)_P - V$
- $\left(\frac{\partial S}{\partial P}\right)_T = -\left(\frac{\partial V}{\partial T}\right)_P$
- $\left(\frac{\partial S}{\partial P}\right)_T = -\left(\frac{\partial V}{\partial T}\right)_P - P$
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The Correct Option is C
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