The vapor pressure of pure benzene is 95.1 mmHg and the vapor pressure of toluene is 28.4 mmHg at a certain temperature. You make a solution by pouring “some” benzene with “some” toluene. You then place the solution in a closed container and wait for the vapor to come into equilibrium with the solution. Next, you condense the vapor and put this liquid (the condensed liquid) in another closed container and wait for the vapor to come into equilibrium with the solution again. You then condense this vapor and find the mole fraction of benzene is 0.714. Determine the mole fraction of benzene and toluene in the original solution, assuming the solution behaves ideally.

Chemistry by OpenStax (2015-05-04)
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Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
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Chapter11: Solutions And Colloids
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The vapor pressure of pure benzene is 95.1 mmHg and the vapor pressure of toluene is 28.4 mmHg at a certain temperature. You make a solution by pouring “some” benzene with “some” toluene. You then place the solution in a closed container and wait for the vapor to come into equilibrium with the solution. Next, you condense the vapor and put this liquid (the condensed liquid) in another closed container and wait for the vapor to come into equilibrium with the solution again. You then condense this vapor and find the mole fraction of benzene is 0.714. Determine the mole fraction of benzene and toluene in the original solution, assuming the solution behaves ideally.

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