Figure shows the variation in temperature ( Δ T) with the amount of… | JEE Main 2013 (9 Apr, Shift 1)

Q77JEE Main 2013 · 9 APR · SHIFT 1Medium

P-V Diagrams & Cyclic Processes

Figure shows the variation in temperature ( $\Delta T$ ) with the amount of heat supplied (Q) in an isobaric process corresponding to a monoatomic (M), diatomic (D) and a polyatomic (P) gas. The initial state of all the gases are the same and the scales for the two axes coincide. Ignoring vibrational degrees of freedom, the lines a, b and c respectively correspond to:

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Answer: (c)

Isobaric: $Q = nC_p\Delta T$ , so slope of the $Q$ - $\Delta T$ line is $nC_p$ .
$C_p$ : monoatomic $\frac{5}{2}R$ , diatomic $\frac{7}{2}R$ , polyatomic $4R$ .
Steepest line a is polyatomic, b is diatomic, least steep c is monoatomic.
So the answer is (c) P, D and M.

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