Pressure of gas contained in a closed vessel is increased by `0.4%` when heated by `1^(@)C` Calulate its final temperature Assume ideal nature .

Explanation

Given `P_(1) = P, V_(1) = T_(1) = T`
`P_(2) = P + (0.4P)/(100), V_(2) = V, T_(2) =(T+1)`
`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))`
or ` (PV)/(T) = (100.4P xx V)/(100(T+1))`
or `100T + 100 = 100.4T`
`:. T = (100)/(0.4) = 250 K`
`:. `Final temperature `= 250 +1 = 251 K` .