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(A) The total heat added in the process $ABC$ is $Q_{ABC} = Q_{AB} + Q_{BC} = 600 \, J + 200 \, J = 800 \, J$.The work done in the process $ABC$ consi

Vedclass · Accepted Answer

$560$

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(A) The total heat added in the process $ABC$ is $Q_{ABC} = Q_{AB} + Q_{BC} = 600 \, J + 200 \, J = 800 \, J$.The work done in the process $ABC$ consists of work done in $AB$ and $BC$. Since $AB$ is an isochoric process $(V_A = V_B)$,$W_{AB} = 0$.In process $BC$,the pressure is constant at $P_B = 8 	imes 10^4 \, Pa$. The volume changes from $V_B = V_A = 2 	imes 10^{-3} \, m^3$ to $V_C = V_D = 5 	imes 10^{-3} \, m^3$.Work done in process $BC$ is $W_{BC} = P_B(V_C - V_B) = 8 	imes 10^4 	imes (5 - 2) 	imes 10^{-3} = 8 	imes 10^4 	imes 3 	imes 10^{-3} = 240 \, J$.Total work done $W_{ABC} = W_{AB} + W_{BC} = 0 + 240 = 240 \, J$.According to the first law of thermodynamics,$\Delta Q = \Delta U + W$,so $\Delta U_{AC} = Q_{ABC} - W_{ABC}$.$\Delta U_{AC} = 800 \, J - 240 \, J = 560 \, J$.

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