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. The total heat given to the gas in (i) is greater than in (ii)
B. final temperature in (i) will be greater than in (ii)
C. final temperature in (ii) will be greater than in (i)
D. the total heat given to the gas in (ii) is greater than in (i)

Answer

B, D

Explanation

from `PV=nRT`

As `P_(C)ltP_(B)` and `V_(C)=V_(B)=becauseT_(B)gtT_(C)`
`W_(AB)gtW_(AC),T_(B)-T_(A)gtT_(C)-T_(A)`
So by `i^(st)` law `Q=DeltaU+W`
`Q=(f)/(2)nRDeltaT+W`
`Q_(AB)gtQ_(AC)`