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 K`
B. `2500 K`
C. `250^(@)C`
D. `25^(@)C`

Answer

A

Explanation

Here ,`p_(1)=pandT_(1)=T`
`p_(2)=p+(0.4)/(100)p=1.004p`
`and " "T_(2)=(T+1)`
`"As " (p_(2))/(p_(1))=(T_(2))/(T_(1))rArr(1.004p)/(p)=(T+1)/(T)=1+(1)/(T)`
or The initial temperature of the gas `T=(1)/(0.004)=250 K`