The figure shows the variation in heat suppli | vedclass

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(A) For an isobaric process,the heat supplied is given by $Q = n C_p \Delta T$,where $n$ is the number of moles and $C_p$ is the molar heat capacity a

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$P, D$ and $M$

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(A) For an isobaric process,the heat supplied is given by $Q = n C_p \Delta T$,where $n$ is the number of moles and $C_p$ is the molar heat capacity at constant pressure.From the graph,the slope of the line is $\frac{Q}{\Delta T} = n C_p$.Since the number of moles $n$ is the same for all gases,the slope is directly proportional to $C_p$.The molar heat capacity at constant pressure is $C_p = C_v + R = \left( \frac{f}{2} + 1 ight) R$,where $f$ is the degree of freedom.For monoatomic gas $(M)$,$f = 3$,so $C_p = (1.5 + 1) R = 2.5 R$.For diatomic gas $(D)$,$f = 5$,so $C_p = (2.5 + 1) R = 3.5 R$.For polyatomic gas $(P)$,$f = 6$,so $C_p = (3 + 1) R = 4 R$.Thus,$C_p(P) > C_p(D) > C_p(M)$.Since the slope is proportional to $C_p$,the slopes follow the order: $	ext{slope}(a) > 	ext{slope}(b) > 	ext{slope}(c)$.Therefore,line $a$ corresponds to $P$,line $b$ corresponds to $D$,and line $c$ corresponds to $M$.

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