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

Options

A. `gt1`
B. `lt1`
C. `1`
D. Data insufficient

Answer

B

Explanation

`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))`