When a gas enclosed in a closed vessel was heated so as to increase its temperature by `5^(@)C`, its pressure was seen to have increased by 1%. The initial temperature of the gas was nearly :

Options

A. `500^(@)C`
B. `273^(@)C`
C. `227^(@)C`
D. `150^(@)C`

Answer

A

Explanation

At constant volume `(P_(1))/(P_(2))=(T_(1))/(T_(2))`
`therefore T_(1)=(P_(1))/(T_(2))xxT_(2)=(100)/(101)(T_(1)+5)`
`rArr T_(1)=500^(@)C`
So, correct choice is (a).