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Following figure shows on adiabatic cyli...

Following figure shows on adiabatic cylindrical container of volume `V_(0)` divided by an adiabatic smooth piston (area of cross-section = A ) in two equal parts. An ideal gas `(C_(p)//C_(y)=lambda)` is at pressure `P_1` and temperature `T_1` in left part and gas at pressure `P_2` and temperature `T_2` in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts will be (Suppose x = displacement of the piston)

A

`P_(2)`

B

`P_(1)`

C

`(P_(1)(V_(0)/(2))^(gamma))/((V_(0)/(2)+Ax)^(gamma))`

D

`(P_(2)(V_(0)/(2))^(gamma))/((V_(0)/(2)+Ax)^(gamma))`

Text Solution

Verified by Experts

The correct Answer is:
C
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