A glass vessel weighs 50.0 , g when empty. Wh | vedclass

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(D) Step $1$: Calculate the volume of the vessel using the liquid data.Mass of liquid = $148.0 \, g - 50.0 \, g = 98.0 \, g$.Volume of vessel = $\frac

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$123$

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(D) Step $1$: Calculate the volume of the vessel using the liquid data.Mass of liquid = $148.0 \, g - 50.0 \, g = 98.0 \, g$.Volume of vessel = $\frac{	ext{Mass}}{	ext{Density}} = \frac{98.0 \, g}{0.98 \, g \cdot mL^{-1}} = 100 \, mL = 0.1 \, L$.Step $2$: Calculate the molar mass of the gas using the ideal gas equation $PV = nRT = \frac{m}{M}RT$.Given: $P = 1 \, atm$,$V = 0.1 \, L$,$m = 50.5 \, g - 50.0 \, g = 0.5 \, g$,$T = 300 \, K$,$R = 0.0821 \, L \cdot atm \cdot K^{-1} \cdot mol^{-1}$.$M = \frac{mRT}{PV} = \frac{0.5 	imes 0.0821 	imes 300}{1 	imes 0.1} = 123.15 \, u \approx 123 \, u$.

$A$ glass vessel weighs $50.0 \, g$ when empty. When filled with a liquid of density $0.98 \, g \cdot mL^{-1}$,it weighs $148.0 \, g$. When filled with an ideal gas at $760 \, mm$ of $Hg$ pressure and $300 \, K$ temperature,it weighs $50.5 \, g$. Calculate the molar mass of the gas in $u$.

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