First slide

Different type of processes

Question

Initial pressure and volume of a gas are P and V respectively.First its volume is expanded to 4Vby isothermal process and then again its volume makes to be V by adiabatic process, then its final pressure is ( $γ$ = 1.5):

Easy

A

8 P
B

4 P
C

P
D

2 P

Solution

In isothermal process PV = constant
So, $P' = \frac{P}{4}$
in adiabatic process ${PV}^{γ} = constant$
$P'' = p' {(\frac{4 V}{V})}^{1.5} = (\frac{P}{4}) (8) = 2 P$

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