A benzene (C₆H₆) solution contains an unknown amount of p-dibromobenzene (C₆H₄Br₂) as a solute. Dry nitrogen is bubbled through the solution at 26.0°C, where it equilibrates with the benzene vapor above the solution. The nitrogen-benzene gaseous mixture is then passed into a cooling trap (to condense the benzene into a liquid) at a temperature where nitrogen is gaseous and the vapor pressure of benzene is negligible. From 100.0 L of the gaseous mixture of nitrogen and benzene, 36.9 g of liquid benzene is collected in the cooling trap. The vapor pressure of pure benzene at 26.0°C is 100 torr. What was the mass percent of p-dibromobenzene in the original solution? (The vapor pressure of p-dibromobenzene is negligible at 26.0°C.)
A benzene (C₆H₆) solution contains an unknown amount of p-dibromobenzene (C₆H₄Br₂) as a solute. Dry nitrogen is bubbled through the solution at 26.0°C, where it equilibrates with the benzene vapor above the solution. The nitrogen-benzene gaseous mixture is then passed into a cooling trap (to condense the benzene into a liquid) at a temperature where nitrogen is gaseous and the vapor pressure of benzene is negligible. From 100.0 L of the gaseous mixture of nitrogen and benzene, 36.9 g of liquid benzene is collected in the cooling trap. The vapor pressure of pure benzene at 26.0°C is 100 torr. What was the mass percent of p-dibromobenzene in the original solution? (The vapor pressure of p-dibromobenzene is negligible at 26.0°C.)
The Raoult's law indicates that the partial pressure of any volatile species is related to the vapor pressure of the pure component and the mole fraction of that species by an equation which is shown as:
and
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