MCQ
$n-$ $moles$ 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
    $\frac{{nR}}{{{C_v} - nR}}$
  • $\frac{{nR}}{{{C_v} + nR}}$
  • C
    $\frac{{4nR}}{{{C_v} + nR}}$
  • D
    $\frac{{4nR}}{{{C_v} - nR}}$

Answer

Correct option: B.
$\frac{{nR}}{{{C_v} + nR}}$
b
$\mathrm{w}=\mathrm{n} \mathrm{R} \Delta \mathrm{T}$

$\Delta \mathrm{H}=\left(\mathrm{C}_{\mathrm{v}}+\mathrm{n} \mathrm{R}\right) \Delta \mathrm{T}$

$\frac{\omega}{\Delta H}=\frac{n R}{C_{v}+n R}$

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