Initial pressure and volume of a gas are P and V respectively. First it is expanded isothermally to volume 4 V and then compressed adiabatically to volume V. The final pressure of gas will be

Q: Initial pressure and volume of a gas are P and V respectively. First it is expanded isothermally to volume 4 V and then compressed adiabatically to volume V. The final pressure of gas will be (given γ = 3/2)

(a) 1 P

(b) 2 P

(c) 4 P

(d) 8 P

Ans: (b)