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.

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))`

Answer

B, C

Explanation

`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