Consider the thermodynamic cycle shown on the | vedclass

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(D) $1$. For a complete cycle,the net change in internal energy is zero: $\Delta U_{A \rightarrow B} + \Delta U_{B \rightarrow C} + \Delta U_{C \right

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(D) $1$. For a complete cycle,the net change in internal energy is zero: $\Delta U_{A ightarrow B} + \Delta U_{B ightarrow C} + \Delta U_{C ightarrow A} = 0$.$2$. For process $B ightarrow C$ (isochoric),work done $W_{B ightarrow C} = 0$. Thus,$\Delta U_{B ightarrow C} = Q_{B ightarrow C} = - 500 	ext{ kJ}$.$3$. For process $A ightarrow B$ (isobaric),$W_{A ightarrow B} = P \Delta V = (3 	imes 10^5 	ext{ Pa}) 	imes (1.5 - 1) 	ext{ m}^3 = 1.5 	imes 10^5 	ext{ J} = 150 	ext{ kJ}$.$4$. From the first law,$Q_{A ightarrow B} = \Delta U_{A ightarrow B} + W_{A ightarrow B} = 400 + 150 = 550 	ext{ kJ}$.$5$. For process $C ightarrow A$,$W_{C ightarrow A} = 	ext{Area under } CA = \frac{1}{2} 	imes (1.5 - 1) 	imes (3 	imes 10^5 - 2 	imes 10^5) = \frac{1}{2} 	imes 0.5 	imes 10^5 = 0.25 	imes 10^5 	ext{ J} = 25 	ext{ kJ}$. Since volume decreases,$W_{C ightarrow A} = - 25 	ext{ kJ}$.$6$. $\Delta U_{C ightarrow A} = - (\Delta U_{A ightarrow B} + \Delta U_{B ightarrow C}) = - (400 - 500) = + 100 	ext{ kJ}$.$7$. $Q_{C ightarrow A} = \Delta U_{C ightarrow A} + W_{C ightarrow A} = 100 - 25 = 75 	ext{ kJ}$. Note: Re-evaluating the cycle,the provided options seem inconsistent with standard calculation. Given the constraints,if we assume the question implies a specific result,we select the closest logical path.

Column-$I$	Column-$II$
$(a)$ Heat engine	$(i)$ $\eta = \frac{Q_2}{Q_1 - Q_2}$
$(b)$ Heat pump	$(ii)$ $\eta = \frac{Q_1 - Q_2}{Q_1}$
	$(iii)$ $\eta = \frac{T_1 - T_2}{T_1}$

Similar Questions

When heat $Q$ is supplied to a monoatomic gas at constant pressure,the work done by the gas is:

$A$ gas follows $VT^2 = \text{constant}$. The coefficient of volume expansion of the gas is

In Column-$I$ devices and in Column-$II$ efficiency are given. Match them appropriately:

Column-$I$ Column-$II$

$(a)$ Heat engine $(i)$ $\eta = \frac{Q_2}{Q_1 - Q_2}$

$(b)$ Heat pump $(ii)$ $\eta = \frac{Q_1 - Q_2}{Q_1}$

$(iii)$ $\eta = \frac{T_1 - T_2}{T_1}$

Which of the following statements is incorrect?

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