A cylindrical vessel made of thermally insulating material is divided into two equal parts by an insulating and movable piston. Both parts contain ideal monoatomic gas. The gas in the left part is supplied heat such that the volume of right part becomes one-eight of its initial volume. Work done by the gas in the right part is

Question

A cylindrical vessel made of thermally insulating material is divided into two equal parts by an insulating and movable piston. Both parts contain ideal monoatomic gas. The gas in the left part is supplied heat such that the volume of right part becomes one-eight of its initial volume. Work done by the gas in the right part is, - 9 2 P V, 9 2 P V, – 3 P V, 3 P V

MARKS App · Accepted Answer

Δ Q = Δ U + Δ W γ = 5 3 T V γ – 1 = T ′ V ′ γ – 1 T V 5 3 - 1 = T ′ V 8 5 3 - 1 T ′ = 4 T Δ U = n C v Δ T = n 3 R 2 ( 4 T - T ) = 9 2 n R T Δ Q = Δ U + Δ W = 0 Δ W = – Δ U = - 9 2 n R T

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