An ideal gas is taken through the cycle A → B → C → A , as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J , the work done by the gas in the process C → A is

Question

An ideal gas is taken through the cycle A → B → C → A , as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J , the work done by the gas in the process C → A is, − 5 J, − 10 J, − 15 J, − 20 J

MARKS App · Accepted Answer

Δ W AB = p Δ V = 1 0 2 - 1 = 10 J Δ W BC = 0 as V = constant From first law of thermodynamics, Δ Q = Δ W + Δ U Δ U = 0 Process ABCA is cyclic, ∴ Δ Q = Δ W AB + Δ W BC + Δ W CA ∴ Δ W CA = Δ Q - Δ W AB - Δ W BC = 5 - 1 0 - 0 = - 5 J

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