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A solution is made by dissolving 13.75 mol of non-volatile solute into 34.15 mol of solvent.  If...

A solution is made by dissolving 13.75 mol of non-volatile solute into 34.15 mol of solvent.  If the vapor pressure of the pure solvent at room temperature is 48.60 torr, what will be the vapor pressure (in torr) of the solution described at the same temperature?

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Answer #1

Answer

34.65 torr

Explanation

According to Roult's law

Psolution = XsolventP°solvent

where,

Psolutionn= Vapor pressure of solution

Xsolvent = mole fraction of solvent

P°solvent = vapor pressure of solvent in its pure state. 48.60torr

Mole fraction = number of moles / Total number of moles

number of moles of solute = 13.75mol

number of moles of solvent = 34.15

Total number of moles = 47.90mol

mole fraction of solvent = 34.15mol/ 47.90mol = 0.7129mol

Psolution = 0.7129 × 48.60torr

Psolution = 34.65 torr

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