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  4. A gas at the temperature 250 K is contained in a closed vessel. If the gas is heated through 1 K, then percentage increase in its pressure will be

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Q. A gas at the temperature $250\, K$ is contained in a closed vessel. If the gas is heated through $1\, K$, then percentage increase in its pressure will be

ManipalManipal 2018

Solution:

$p \propto T$
$\frac{p_{1}}{p_{2}}=\frac{T_{1}}{T_{2}}$
$\Rightarrow \frac{p_{2}-p_{1}}{p_{1}}=\frac{T_{2}-T_{1}}{T_{2}}$
${\left[\frac{\Delta p}{p}\right] \%=\left[\frac{251-250}{250}\right] \times 100=0.4 \% }$