a gas is filled in a vessel at 27 degree Celsius. to what temp should it be heated so that it 1/3rd of of the gas escapes out of the vessel?

my attempt to solve;
i tried applying charles law. so, V1/V2= T1/T2.
V2= V1+V1/3= 4V1/3
hence, applying charles law
V1/V2= 3/4
T1/T2= 300/T2
SO SOLVING WE GET T2=400KELVIN.
which is wrong.
ans is 450kelvin.
HELP!

2 answers

Put
V2 = V1 V1/2
ie. whatever the value of escape gas is given subract 1 digit from its denominator and add to intial volume.

For ex:
escape gas given 1/4 then 4 - 1 = 3 . Add V/3 to intial volume
hey well wisher your soln makes me get right answer but can u please tell why we are doing this ,