The pressure of a gas filled in a closed vessel increase by 0.4% when temperature is increased by `1^(@) C`. Find the initial temperature of the gas.

Explanation

Here , `P_(1)=p, T_(1)=T K, P_(2)=p+(0.4)/(100)P=(100.4)/(100) P, T_(2)=(T+1)K`
Now, `(P_1)/(P_2) = (T_1)/(T_2) or (P)/((100.4//100)P) =(T)/(T+1)`
or `(100)/(100.4) = (T)/(T+1) or 100T+100 = 100.4T or T=100//0.4 = 250 K`.