The pressure and volume of an ideal gas are related as PV3/2 = K (Constant). The work done when the gas is taken from state A (P1, V1, T1 ) to state B (P2, V2, T2 ) is :
- 2 (P2 V2 - P1 V1 )
- 2 ( P1 V1 - P2 V2 )
- 2 (P2V2 - P1V1 )
- 2 (P1V1 - P2V2 )
Answer
(4) 2 (P1V1 - P2V2 )
Solution
PV3/2 = K is a polytropic process PVx = constant with x = 32.
For such a process the work done by the gas is W = P2V2 - P1V11 - x
W = P2V2 - P1V11 - 32 = -2(P2V2 - P1V1)
W = 2(P1V1 - P2V2) (work done by the gas)
Answer: (4)