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gas within a piston–cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series, beginning at state 1 where m =0.5 kg, p_{1} = 1 bar, V_{1} = 1.5 m^{3}, as follows:
Process 1–2: Compression with pV = constant, W_{12} =-104 kJ, u_{1} = 424 kJ/kg, u_{2} = 780 kJ/kg.
Process 2–3: W_{23} = 0, Q_{23} = -150 kJ.
Process 3–1: W_{31} =48 kJ.
There are no changes in kinetic or potential energy. Determine Q_{12} and Q_{31}, each in kJ.
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