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Q.

Find the molar heat capacity in a process of a diatomic gas if it does a work of $\frac{Q}{4}$ when a heat of Q is supplied to it

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a

R

b

5.25 R

c

2R

d

3.33 R

answer is C.

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Detailed Solution

detailed_solution_thumbnail

$n c Δ T = Q, W = \frac{Q}{4}$

So, $Δ U = n C_{V} Δ T = \frac{3 Q}{4} \Rightarrow \frac{C}{C_{V}} = \frac{4}{3}, C = \frac{4}{3} C_{V}$

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