Constant Volume

A constant volume process is also known as an isochoric process. An example is when heat is added to a gas in a container with fixed walls.

Because the walls can't move, the gas can not do work:

W = 0

In that case the First Law states:

Q = ΔEint

The P-V diagram for this process is simple - it's a vertical line going up if heat is added, and going down if heat is removed.

In the case of a monatomic ideal gas:
Eint =
3
2
NkT =
3
2
nRT
Therefore Q = ΔEint =
3
2
nRΔT