A student records Delta Q,Delta U and Delta W for a thermodynamic cycle A to

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11.Thermodynamics

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

$AB$ $BC$ $CA$

$\Delta W$ $40\,J$ $30\,J$

$\Delta U$ $50\,J$

$\Delta Q$ $150\,J$ $10\,J$

A

$W_{BC} = -70\, J$

B

$\Delta {Q_{CA}} = 130\,J$

C

$\Delta {U_{AB}} = 190\,J$

D

$\Delta {U_{CA}} = -160\,J$

Solution

$\Delta \mathrm{U}=\Delta \mathrm{U}_{\mathrm{AB}}+\Delta \mathrm{U}_{\mathrm{BC}}+\Delta \mathrm{U}_{\mathrm{CA}}=0$

$\Rightarrow[150-40]+50+\Delta \mathrm{U}_{\mathrm{CA}}=0$

$\Delta \mathrm{U}_{\mathrm{CA}}=-160 \mathrm{J}$

Standard 11

Physics

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