Chemical Engineering > GATE 2022 > Ideal Gas Processes
N moles of an ideal gas undergo a two-step process as shown in the figure. Let P, V, and T denote the pressure, volume, and temperature of the gas, respectively. The gas, initially at state-1 (P1, V1, T1), undergoes an isochoric (constant volume) process to reach state-A, and then undergoes an isobaric (constant pressure) expansion to reach state-2 (P2, V2, T2).
For an ideal gas, CP β CV = NR, where CP and CV are the heat capacities at constant pressure and constant volume, respectively, and assumed to be temperature independent. The heat gained by the gas in the two-step process is given by

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