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## Main Question or Discussion Point

[tex] C_{V} = \frac{∂U}{∂T} [/tex]

This is the specific heat at constant volume so I assume it can only be used at constant volume. However, my textbook uses this to derive the following equation for reversible adiabatic expansion:

[tex] P_{1}V_{1}^{γ} = P_{2}V_{2}^{γ} [/tex]

Why are we allowed to use [itex]C_{V}[/itex] when it only works in isovolumetric processes?

BiP

This is the specific heat at constant volume so I assume it can only be used at constant volume. However, my textbook uses this to derive the following equation for reversible adiabatic expansion:

[tex] P_{1}V_{1}^{γ} = P_{2}V_{2}^{γ} [/tex]

Why are we allowed to use [itex]C_{V}[/itex] when it only works in isovolumetric processes?

BiP