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Isochoric process

p-V graph showing an different thermodynamic processes (1: isothermal, 2: isochoric, 3: isobaric, 4: adiabatic).
p-V graph showing an different thermodynamic processes (1: isothermal, 2: isochoric, 3: isobaric, 4: adiabatic).

In an isochoric process the volume is kept constant (i.e. $$\Delta V=0$$). This implies that the work done by the gas is zero (i.e. $$W=0$$).

The change in internal energy during an isochoric process is equal to the heat supplied to the system (i.e. $$\Delta U=Q$$).

The p-V graph of an isochoric process is a vertical line.

$$p=$$pressure; $$Q=$$heat supplied; $$T=$$temperature; $$\Delta U=$$change in internal energy; $$V=$$volume; $$W=$$work done