At what temperature does the volume of an ide | vedclass

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(A) According to Charles's Law,at constant pressure,the volume of a gas is directly proportional to its absolute temperature $(V \propto T)$.Given:Ini

Vedclass · Accepted Answer

$546$

Vedclass · Answer

(A) According to Charles's Law,at constant pressure,the volume of a gas is directly proportional to its absolute temperature $(V \propto T)$.Given:Initial volume $V_{1} = V$Initial temperature $T_{1} = 0^{\circ}C = 273 \; K$Final volume $V_{2} = 3V$Using the relation $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$:$T_{2} = \frac{V_{2} 	imes T_{1}}{V_{1}}$$T_{2} = \frac{3V 	imes 273}{V} = 819 \; K$To convert the temperature to Celsius $(^{\circ}C)$:$T(^{\circ}C) = T(K) - 273$$T(^{\circ}C) = 819 - 273 = 546^{\circ}C$.

At what temperature does the volume of an ideal gas at $0^{\circ}C$ become triple? (in $^{\circ}C$)

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