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The figure shows two paths for the chang...

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

A

(a)`gt1`

B

(b)`lt1`

C

(c)`1`

D

(d)Data insufficient

Text Solution

Verified by Experts

The correct Answer is:
B
`Q_(1) = DeltaU + W_(1), Q_(2) = DeltaU + W_(2)`
Ratio of specific heats
`C_(1)/(C_(2))=(((DeltaQ_(1))/(DeltaT)))/(((DeltaQ_(2))/(DeltaT))) = (((DeltaU)/(DeltaT) + (DeltaW_(1))/(DeltaT)))/(((DeltaU)/(DeltaT) +(DeltaW_(2))/(DeltaT))) lt 1 (because W_(2)gtW_(1))`
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