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There's also the question of why exactly dU/dV is pressure. There's a thought experiment involving a piston pushing a gas (see for example this article by Joseph Mellor), but this doesn't explain why we need to take entropy to be constant when computing pressure.
Temperature and the Sackur–Tetrode Equation
There's also the question of why exactly dU/dV is pressure. There's a thought experiment involving a piston pushing a gas (see for example this article by Joseph Mellor), but this doesn't explain why we need to take entropy to be constant when computing pressure.
Temperature and the Sackur–Tetrode Equation