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Q.

If an ideal diatomic gas is taken through a process such that heat supplied is twice the change in internal energy. The molar heat capacity for the process is $x R$ . The value of $x$ is

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a

$2 R$

b

$3 R$

c

$4 R$

d

$5 R$

answer is D.

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Detailed Solution

$∆ Q = 2 ∆ U ∆ Q = n C d T, ∆ U = n C_{v} d T n C d T = n C_{v} d T C = 2 C_{V} = 2 (\frac{5}{2} R) = 5 R$

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