In the cycle A⟶B⟶C⟶D⟶A, heat is added to the system during the processes D⟶A (at constant volume) and A⟶B (at constant pressure). Calculating the Heat Added Heat for Process D⟶A (Constant Volume): For an ideal monoatomic gas, the molar heat capacity at constant volume CV is given by: CV=‌
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R The heat added during this process is: QDA=nCV(∆T)DA=‌
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nR∆T Heat for Process A⟶B (Constant Pressure): The molar heat capacity at constant pressure Cp is given by: Cp=‌
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R The heat added during this process is: QAB=nCp(∆T)AB=‌
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nR∆T Total Heat Supplied
The total heat supplied in the cycle is the sum of the heat added during these two processes: Q=QDA+QAB Substitute the expressions for QDA and QAB : Q=‌
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nR∆T+‌
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nR∆T Given nR∆T=p∆V, and substituting it: Q=‌