Isochoric or isometric process

Isochoric is a thermodynamics process whereby the volume remain s constant. In isochoric or isometric the volume of the gas does not change and therefore  work done is zero, recall that w w-= force x displacement,  change in the volume of the gas is the displacement , if the volume does not change, dv=0 , this means zero displacement .

 mathematically

 W = PdV

 =P X 0

W =0.

Therefore  Q =U + PdV

 Q =U

Isobaric process is a thermodynamic process that occur at constant pressure, P =0  the pressure remain constant throughout the process, any change in pressure is neutralize by an increase or decrease in volume. E.g evaporation of liquid from a surface. P =0

 If the volume increase work is done by the system (positive work ) and if the system volume decrease work is done on the system , negative work.

W         =        P(V2-V1)

NOTE REPLACE aWITH  γ and redrive the equation