Respuesta :
Based on the vapor pressure of the pure substances, the mole fraction of pentane is 0.45 and mole fraction of hexane at equilibrium is 0.60.
What is vapor pressure of a liquid?
Vapor pressure of of a liquid is the pressure that is excreted on the walls of a sealed vessel by the molecules of the liquid that have been converted to gaseous phase.
TO determine the mole fraction of pentane in the solution, we use the vapor pressure of the pure substances.
Let the mole fraction of pentane in the mixture be X.
The mole fraction of hexane will be 1 - X
- The vapor pressure of the solution = (mole fraction of pentane × vapor pressure of pentane) + (mole fraction of hexane × vapor pressure of hexane)
Vapor pressure of solution = 383 torr
(mole fraction of pentane × vapor pressure of pentane) + (mole fraction of hexane × vapor pressure of hexane) = 383 torr
X × 511 + (1 - X) × 150 = 383
511X - 150X + 150 = 383
511X = 233
X = 0.45
Also , at equilibrium, the vapor pressure of pentane = 0.45 × 511 = 230 torr
mole fraction of hexane in the vapor that is in equilibrium with this solution = 230/383
mole fraction of hexane at equilibrium = 0.60
Therefore, the mole fraction of pentane is 0.45 and mole fraction of hexane at equilibrium is 0.60.
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