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 | = |
|
NkT | = |
|
nRT |
Therefore Q | = | ΔEint | = |
|
nRΔT |