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Question

(C) According to Charles's law, for a gas at constant pressure, the volume $V$ is directly proportional to the absolute temperature $T$ ($V \propt

Vedclass · Accepted Answer

$112$

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(C) According to Charles's law, for a gas at constant pressure, the volume $V$ is directly proportional to the absolute temperature $T$ ($V \propto T$ or $\frac{V}{T} = 	ext{constant}$).

Given:
Initial volume $V_1 = 47.5$ units at temperature $T_1 = 0^\circ C = 273 \, K$.
Final volume $V_2 = 67$ units at boiling point temperature $T_2$.
Using the relation $\frac{V_1}{T_1} = \frac{V_2}{T_2}$:
$T_2 = \frac{V_2 	imes T_1}{V_1}$
$T_2 = \frac{67 	imes 273}{47.5} \approx 385 \, K$.
To convert the temperature from Kelvin to Celsius:
$t(^\circ C) = T(K) - 273$
$t = 385 - 273 = 112^\circ C$.
Thus, the boiling point of the liquid is $112^\circ C$.

$A$ 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 will be .......... $^\circ C$.

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