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 – 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
A
P2(V2-V1) + CV(T2-T1)
B
P2(V2-V1) + CP(T2-T1)
C
CP(T2-T1) + CV(T2-T1)
D
P2V2 - P1V1

Correct : a

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ideal gas two step process GATE Chemical Engineering 2022 heat capacities ideal gas isochoric process isobaric expansion ideal gas law GATE chemical engineering heat gained ideal gas chemical engineering gate 2022

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