Air is filled in a bottle and it is corked at `35^(@)C`. If the cork can come out at 3 atmospheric pressure, then upto what temperature should the bottle be heated to remove the cork ?

Answer

`651^(@)C`

Explanation

Here, `T_(1) = 35^(@)C = (35 + 273 K) = 308 K`
`P_(1) = 1` atmosphere, P_(2) = 3 atmosphere, `T_(2)=?`
From Gay Lusac's law, `(T_2)/(T_2) = (P_2)/(P_1) = 3`
`T_(2) = 3 T_(1) = 3xx 308 = 924 K =(924-273 )^(@)C`
`= 651^(@)C`