The correct option is C 103R
Given ,
Number of moles of diatomic gas, (n)=1
So, we can write that
ΔU=Cv ΔT=(52R)ΔT
⇒ΔT=2(ΔU)5R ......(1)
From first law of thermodynamics, we can say that
ΔU=ΔQ−ΔW
From the data given in the question
ΔU=Q−Q4=3Q4 .....(2)
Now, from the definition of molar heat capacity,
C=1nΔQΔT where n=1 here.
From (1) and (2),
C=Q2(ΔU)5R=5RQ2(3Q4)=103R
Hence, option (c) is the correct answer.