JEE Mains Model Paper 8

Let initial pressure, volume, temperature be P0,V0,T0 indicated by state A in P-V diagram. The gas isthen inochorically taken to state B (2P0,V0,2T0 ) and then taken from state B to state C (2P0,2V0,4T0) isobarically

Total heat absorbed by 1 mole of gas
ΔQ = Cv (2T0−T0) + Cp (4T0−2T0)
=

5

2

RT0 +

7

2

R×2T0 =

19

2

RT0
Total change in temperature from state A to C is
ΔT = 3T0
∴ Molar heat capacity
=

ΔQ

ΔT

=

19 2 RT0

3T0

=

19

6

R