An ideal gas can be expended from an initial state to a certain volume through two different processes
(i) `pV^(2)=` constant and (ii) `p=KV^(2)` where K is a positive constant. Then

Options

A. Final temperature in (i) will be greater than in (ii)
B. Final temperature in (ii) will be greater than in (i)
C. Total heat given to the gas in (i) case is greater than in (ii)
D. Total heat given to the gas in (ii) case is greater than in (i)

Answer

A, C

Explanation

` (i) PV^(2) = C implies TV = C`
If volume expands , temperature decreases.
(ii) ` P= KV^(2) implies (V^(3))/(T)` = constant
If volume expands, temperature increases
`Q = DeltaU + W`
`Q_(2)gt Q_(1)` as `W_(2) gt W_(1)` & `DeltaU_(2) gt DeltaU_(1)`