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  4. At a constant pressure, what should be the percentage increase in the temperature in kelvin for a 10 % increase in the volume:

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Q. At a constant pressure, what should be the percentage increase in the temperature in kelvin for a $10 \%$ increase in the volume:

States of Matter

Solution:

According to Charle's law

$\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}} ; V_{2}=V_{1}+0.1 V$

$T _{2}= T _{1}+\frac{x}{100} T _{1}$

or $\frac{V_{1}}{T_{1}}=\frac{V_{1}+0.1 V}{T_{1}+0.01 x T_{1}}$

or $\frac{V_{1}}{T_{1}}=\frac{V_{1}(1+0.1)}{T_{1}(1+0.01 x)}$

or $1+0.01 x=1.1$

Hence; $x=10 \%$