JEE Mains · Physics · STD 11 - 11. thermodynamics
\(n-\) \(moles\) 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
- A \(\frac{{nR}}{{{C_v} - nR}}\)
- B \(\frac{{nR}}{{{C_v} + nR}}\)
- C \(\frac{{4nR}}{{{C_v} + nR}}\)
- D \(\frac{{4nR}}{{{C_v} - nR}}\)
Answer & Solution
Correct Answer
(B) \(\frac{{nR}}{{{C_v} + nR}}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{w}=\mathrm{n} \mathrm{R} \Delta \mathrm{T}\) \(\Delta \mathrm{H}=\left(\mathrm{C}_{\mathrm{v}}+\mathrm{n} \mathrm{R}\right) \Delta \mathrm{T}\) \(\frac{\omega}{\Delta H}=\frac{n R}{C_{v}+n R}\)
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