If the pressure of a gas contined in closed vessel in increased by `0.4%` when heated by `1 K`, its initial temperature must be:

Options

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

Answer

A

Explanation

Let initial temperature and pressure be `T_(1) and P_(1)`
`P_(2)=(P_(1)+(0.4)/(100)P_(1)) T_(2)=(T_(2)+1)`
`(P_(1))/(P_(2))=(T_(1))/(T_(2))implies (100)/(100.4)=(T_(1))/((T_(1)+1)) T_(1)= 250 K`