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Q.
A constant pressure air thermometer gave a reading of $47. 5$ units of volume when immersed in ice-cold water, and $67$ units in a boiling liquid. The boiling point of the liquid, is
Given: Initial volume $\left( V _{1}\right)=47 \times 5$ units;
Temperature of icecold water $\left(T_{1}\right)=0^{\circ} C =273\, K$
and final volume $\left( V _{2}\right)=67$ units.
We know from the Charles law,
$\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}$ or
$T_{2}=\frac{V_{3}}{V_{1}} \times T_{1}$
$=\frac{67}{47 \times 5} \times 273=385 \,K=112^{\circ} C$
$T _{2}$ is the boiling point of the liquid.