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)`
`rArr (P)/((101)/(100)P)=(T)/((T+1))`
`(100)/(101)= (T)/(T + 1)`
`100T + 100 = 101 T`
`1 T = 100, T= 100K`