An open vessel at 300 K is heated until 2/5 | vedclass

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(C) For an open vessel,the pressure $P$ and volume $V$ remain constant. According to the ideal gas law,$PV = nRT$,which implies $n_1 T_1 = n_2 T_2$.Le

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$500$

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(C) For an open vessel,the pressure $P$ and volume $V$ remain constant. According to the ideal gas law,$PV = nRT$,which implies $n_1 T_1 = n_2 T_2$.Let the initial number of moles be $n_1 = n$.Since $2/5$ of the air is expelled,the remaining moles $n_2 = n - (2/5)n = 3/5 n$.The initial temperature $T_1 = 300 \ K$.Using the relation $n_1 T_1 = n_2 T_2$:$n 	imes 300 = (3/5)n 	imes T_2$.$300 = (3/5)T_2$.$T_2 = 300 	imes (5/3) = 500 \ K$.

An open vessel at $300 \ K$ is heated until $2/5$ of the air in it has been expelled. Assuming the volume of the vessel remains constant,find the temperature to which the vessel has been heated in $K$.

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