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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

$\frac{4 nR}{C_{v} + nR}$

b

$\frac{nR}{C_{v} - nR}$

c

$\frac{4 nR}{C_{v} - nR}$

d

$\frac{nR}{C_{v} + nR}$

answer is A.

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Detailed Solution

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At constant volume Work done $(W) = nRΔT$
Heat given $Q = C_{v} ΔT + nRΔT So, ∴ \frac{W}{Q} = \frac{nRΔT}{C_{v} ΔT + nRΔT} = \frac{nR}{C_{v} + nR}$

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