The correct option is D 15R4
Given,
Heat added to the gas Q=24 J
work done by the gas W=8 J
According to first law of thermodynamics
Q=ΔU+W
⇒24=ΔU+8
⇒ΔU=16 J
But we know that, ΔU=nCVΔT
⇒nCVΔT=16 J ...........(1)
Also, Q=nCΔT
Thus, nCΔT=24 J .........(2)
from (1) & (2) we get,
CCV=32⇒C=3CV2
For a diatomic gas we know that,CV=5R2
∴C=32×5R2
⇒C=15R4
Thus, option (d) is the correct answer.