29. Following figure shows on adiabatic cylindrical container of volume V0 divided by an adiabatic smooth piston (area of cross-section = A) in two equal parts. An ideal gas

(C_p/C_v=γ) is at pressure P₁ and temperature T₁ in left part and gas at pressure P₂ and temperature T₂ 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) P₂                                                                   (b)  P₁

(c) [P₁(V₀/2)^γ] / [(V₀/2)+Ax]^γ                      (d) [P₂(V₀/2)^γ] / [(V₀/2)+Ax]^γ

Answer-c

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