An ideal gas can be expanded form an initial state to a certain volume through two different processes `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 (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

B, D

Explanation

From equation `PV = nRT`

`P_(C) lt P_(B) , V_(C) = V_(B)` and `T_(B) gt T_(C)`
`W_(AB) gt W_(AC) (T_(B)-T_(A)) gt T_(C) -T_(A)`
So By 1st law `, Q = DeltaU +W`
`Q = (f)/(2) nRDeltaT +W Q_(AB) gt Q_(AC)`