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 ?

Options

A. `325^(@)C`
B. `851^(@)C`
C. `651^(@)C`
D. none of the these

Answer

C

Explanation

`P_(1)V = nRT_(1) rArr 1 xx V = nR(35 + 273) = nR xx 308` (i)
`P_(2)V = nRT_(2) rArr 3 xx V = nRT_(2)` (ii)
`(ii)//(i)`
`3 = T_(2)//308 rArr T_(2) = 914 K`
`T_(2) = 924 - 273 = 651^(@)C`