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

Options

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

Answer

C

Explanation

Using, PV = nRT
Since volume is constant
`therefore(P_(2))/(P_(1))=(T_(2))/(T_(1))or T_(1)=T_(2)xx(P_(1))/(P_(2))`
or `T_(1)=(T_(1)+1)((100)/(100.4))`
`implies T_(1)=250K`