JEE Main201910 Apr 2019Morning ShiftPhysicsThermodynamicsActual
n moles of an ideal gas with constant volume heat capacity C v undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is:
Options
- A4 n R C v + n R
- B4 n R C v - n R
- Cn R C v + n R
- Dn R C v - n R
Correct answer
C. n R C v + n R
Step-by-step solution
From First Law of thermodynamics, Δ Q = Δ U + Δ w Δ w Δ Q = 1 - Δ U Δ Q = 1 - n c v Δ T n c p Δ T = 1 - c v R + c v     = R R + c v As, n c v = C v Δ w Δ Q = n R C v + n R