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Q.

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

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a

$\frac{4 n R}{C_{V} - n R}$

b

$\frac{4 n R}{C_{V} + n R}$

c

$\frac{n R}{C_{V} - n R}$

d

$\frac{n R}{C_{V} + n R}$

answer is C.

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Detailed Solution

$\frac{f}{2} R = \frac{C_{v}}{n} W = n R Δ T \frac{W}{Δ Q} = (\frac{2}{f + 2}) = \frac{2}{\frac{2 C_{v}}{n R} + 2} = (\frac{n R}{C_{v} + n R})$

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