The mole fraction : X solute = 0.933
The mass : = 29,075 g
Further explanation
Solution properties are the properties of a solution that don't depend on the type of solute but only on the concentration of the solute.
Solution properties of electrolyte solutions differ from non-electrolyte solutions because electrolyte solutions contain a greater number of particles because electrolytes break down into ions. So the Solution properties of electrolytes are greater than non-electrolytes.
Vapor pressure depends on the mole fraction of the components in the solution
P solution = Xs . P°
P = solution vapor pressure
P ° = solvent vapor pressure
Xs = solvent mole fraction
ΔP = P ° - P where
ΔP = decrease in vapor pressure
ΔP = X solute . P° solvent
Given
P solution = 2.75 torr
P° toluene = 41 torr
mol toluene = 5.4 mol
Required
the mole fraction and the mass of cholesterol
Solution
ΔP = X solute . P ° solvent
P ° solvent - P solution = X solute . P° solvent
41 - 2.75 = X solute . 41
X solute = 0.933
X solute = n solute : ( n solute + n solvent)
0.933 = n solute : ( n solute + 5.4 )
0.933 ( n solute + 5.4 ) = n solute
n solute = 75.197
Cholesterol C₂₇H₄₆O, molar mass = 386,65 g/mol
The mass :
= mol x molar mass
= 75.197 mol x 386,65 g/mol
= 29,075 g
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