When a gas filled in a closed vessel is heated by raising the temperature by $1^{\circ} C$, its pressure increase by $0.4 \%$. The initial temperature of the gas is ..........$K$
A$270$
B$258$
C$250$
D$290$
JEE MAIN 2022, Medium
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C$250$
c $pV = nRT$
$\Delta P . V = nR \Delta T$
$\Rightarrow \frac{\Delta P }{ P }=\frac{\Delta T }{ T }=\frac{0.4}{100}$
$\Rightarrow T =\frac{100 \times 1}{0.4}=250 K$
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