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Heat taken by gas in process a-b is $6 P_{0} V_{0}$ . Match the following columns.

Column-I Column-II
A $W_{a b}$ P $2 P_{0} V_{0}$
B $△ U_{a b}$ Q $4 P_{0} V_{0}$
C Molar heat capacity in given process R 2R
D $C_{v}$ of gas S None of these
Correct match are

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$A \to S, B \to S, C \to R, D \to S$

$A \to S, P, B \to S, C \to R, D \to S$

$A \to Q, P, B \to S, C \to P, D \to Q$

$A \to R, B \to S, C \to R, D \to P$

answer is A.

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Detailed Solution

$W_{A \to B} = \frac{3}{2} P_{0} V_{0}$

$∆ U_{A \to B} = Q - W_{A \to B} = 4.5 P_{0} V_{0}$

$Q = n C (∆ T) \Rightarrow C = 2 R$

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