An ideal gas can be expanded from an initial state to a certain volume through two different processes,
(I) `PV^(2)=K` and (II) `P=KV^(2)`, where `K` is a positive constant. Then, choose the correct option from the following.

Options

A. Final temperature in `(I)` will be greater than in `(II)`
B. Final temperature in `(II)` will be greater then in `(I)`
C. Work done by the gas in both the processes would be equal
D. Total heat given to the gas in `(I)` is greater then in `(II)`

Answer

B

Explanation

Process(A). `(nRT)/(v)V^(2)=K`,`TV`=constant
`Tprop(1)/(2)` Process (B)`(nRT)/(v)=KV^(2)` ,`(T)/(v^(3))`= constant, `Tpropv^(3)`