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A student records $Δ Q, Δ U$ and $Δ W$ for a thermodynamic cycle $A \to B \to C \to A$ . Certain entries are missing. Find correct entry in following options

AB

BC

CA

$Δ W$

40J

30J

$Δ U$

50J

$Δ Q$

150J

10J

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$W_{B C} = 70 J$

$Δ U_{C A} = - 160 J$

$Δ Q_{C A} = 130 J$

$Δ U_{A B} = 190 J$

answer is D.

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Detailed Solution

AB $Δ U = Δ Q - Δ W = 110 J$

BC $Δ W = Δ W Q - Δ U = - 40 J$

CA $Δ U_{n e t} = 0$

$∴ Δ U_{A B} + Δ U_{B C} + Δ U_{C A} = 0$ or $110 + 50 + Δ U_{C A} = 0$ or $Δ U_{C A} = - 160 J$

$Δ Q = Δ U + Δ W = - 130 J$

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