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For two different gases x and y have deg...


For two different gases x and y have degree of freedon `f_(1)` and `f_(2)` and molar specific heat capacities at constant volume `C_(V_(1))` and `C_(V_(2))` respectively. The lnP versus lnV graph is plotted for adiabatic process, as shown, choose the correct options.

A

`f_(2)` can be `3`

B

`f_(2)gef_(1)`

C

`C_(V_(2))geC_(V_(1))`

D

`C_(V_(1))geC_(V_(2))`

Text Solution

Verified by Experts

The correct Answer is:
B, C
`PV^(')=` constant
`lnP+gammalnV=C` where C is a constant
`lnP=-gammalnV+C` is straight line equation
`|"slope"|=gamma=1+(2)/(f)`, slope of x is greater hence `f` is smaller
`C_(V)=(R)/(gamma-1), gamma` is smaller for y hence its `C_(V)` greater
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