An open vessel at 27,^{circ}C is heated until | vedclass

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(A) In an open vessel,the pressure $P$ and volume $V$ remain constant.According to the ideal gas law,$PV = nRT$.Since $P$ and $V$ are constant,$n_1T_1

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$477$

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(A) In an open vessel,the pressure $P$ and volume $V$ remain constant.According to the ideal gas law,$PV = nRT$.Since $P$ and $V$ are constant,$n_1T_1 = n_2T_2$.Let the initial number of moles be $n_1 = 1$.Since $3/5$ of the air is expelled,the remaining moles $n_2 = 1 - 3/5 = 2/5 = 0.4$.Initial temperature $T_1 = 27 + 273 = 300\,K$.Using the relation $T_2 = (n_1 	imes T_1) / n_2$,we get $T_2 = (1 	imes 300) / 0.4 = 750\,K$.Final temperature in $^{\circ}C = 750 - 273 = 477\,^{\circ}C$.

An open vessel at $27\,^{\circ}C$ is heated until $3/5$ of the air in it has been expelled. Assuming the pressure remains constant,what is the final temperature of the vessel in $^{\circ}C$?

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