Constant Volume Process
The answer of equation below for a constant volume process is not also very difficult. The work done in a constant volume process is the multiplication of the volume and the change in pressure.
W1-2 = V (?P)
In adding up to gases, the above equation also applies to liquids. The power requirement for pumps which move incompressible liquids (like water) can be established from equation W1-2 = P (?V). Substituting the volume (V) with the product of the specific volume and the mass outcome equation W1-2 = V (?P),
W1-2 = mv (?P)
By taking the time rate of change of both sides of equation W1-2 = mv (?P), determines the power needs of the pump
W1-2 = mv (?P)