If an ideal gas has volume V at 27^{circ}C an | vedclass

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(B) According to Charles's Law,for a fixed mass of gas at constant pressure,the volume is directly proportional to the absolute temperature: $V \propt

Vedclass · Accepted Answer

$177$

Vedclass · Answer

(B) According to Charles's Law,for a fixed mass of gas at constant pressure,the volume is directly proportional to the absolute temperature: $V \propto T$ or $\frac{V_1}{T_1} = \frac{V_2}{T_2}$.Given: Initial volume $V_1 = V$,Initial temperature $T_1 = 27^{\circ}C = 27 + 273 = 300 \ K$,Final volume $V_2 = 1.5V$.Using the formula $T_2 = \left( \frac{V_2}{V_1} ight) T_1$,we get $T_2 = \left( \frac{1.5V}{V} ight) 	imes 300 \ K = 1.5 	imes 300 \ K = 450 \ K$.To convert the final temperature back to Celsius: $T(^{\circ}C) = T(K) - 273 = 450 - 273 = 177^{\circ}C$.

If an ideal gas has volume $V$ at $27^{\circ}C$ and it is heated at a constant pressure so that its volume becomes $1.5V$,then the value of the final temperature will be ....... $^{\circ}C$.

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