First slide

Heat given

Question

The figure shows two paths for the change of state of a gas from A to B. The ratio of molar heat capacities in path 1 and path 2 is

Easy

A

< 1
B

>1
C

1
D

data insufficient

Solution

Using first law of thermodynamics, we get
$Δ Q_{1} < Δ Q_{2}$
$∴ \frac{Δ Q_{1}}{Δ T} < \frac{Δ Q_{2}}{Δ T} or C_{1} < C_{2} or \frac{C_{1}}{C_{2}} < 1$

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