Molar Heat Capacity at Constant Volume (Cv = (ΔQ/ΔT)v = ΔU/ΔT)
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Cv = (ΔQ/ΔT)v = ΔU/ΔT
What each symbol means
| Symbol | What it stands for |
|---|---|
| Cv | Molar heat capacity at constant volume (J mol⁻¹ K⁻¹) |
| ΔQ | Heat supplied at constant volume (J) |
| ΔT | Temperature change (K) |
| ΔU | Change in internal energy (J) |
When to use this
Per mole of ideal gas. For n moles: Q = nCvΔT at constant volume, ΔU = nCvΔT for any process. At constant volume ΔV = 0, so no work done — all heat goes into internal energy. U depends only on T for ideal gas.