If pressure of a gas contained in a closed vessel is increased by `0.4%` when heated by `1^(@)C`, the initial temperature must be

Explanation

Given, `" "p_(1)=p,T_(1)=TK`
Increased pressure, `P_(2)=p+1/100p=101/100p`
Increased temperature, `T_(2)=(T+1)K`
According to the Gay Lussacs' law, we get
`rArr" " (p_(1))/p_(2)=(T_(1))/T_(2)`
`rArr" " p/(101)=T/((T+1))`
`" " 100/101=T/(T+1)`
`rArr100T+100=101TrArrT=100K`