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Question: Initial pressure and volume of a gas are P and V respectively. First it is expanded isothermally to ...

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

A

1P

B

2P

C

4P

D

8P

Answer

2P

Explanation

Solution

Isothermal Adiabatic

P1V1 = P2 V2 P2V2γ=P3V3γP_{2}V_{2}^{\gamma} = P_{3}V_{3}^{\gamma}

PV = P2 × (4V) \ P3 = 2P

P2 = P4\frac{P}{4}