The pressure of a gas filled in a closed containeer increases by `1%` when temperature is increased by `1^(@)C.` Find the initial temperature of the gas.

Explanation

`P_(1)=P,T_(1)=TK`
`P_(2)=P+(1)/(100)P=(101)/(100)P`
`T_(2)=(T+1)K`
`(P_(1))/(P_(2))=(T_(1))/(T_(2))`
`implies(P)/((101)/(100)P)=(T)/((T+1))`
`(100)/(100)=(T)/(T+1)`
`100T+100+101T`
`1T=100,T=100K`