When a gas filled in a closed vessel is heated through `1^(@)C`, its pressure increases by 0.4%. What is the initial temperature of gas ?

Options

A. `250^(@)C`
B. `25^(@)C`
C. `250^(@)K`
D. `25^(@)K`

Answer

C

Explanation

As volume is constant ,
`:. (P_2)/(P_1) = (T_2)/(T_1) or T_(1) = T_(2) xx (P_1)/(P_2)`
`T_(1) = T_(2) xx (P_1)/(P_2)`
`T_(1) = (T_(1)+1)(100/1004)`
Solve to get `T_(1) = 250 K`.