Asked in ETEA MDCAT 2010 2010

Water has a vapor pressure of 23.75 at 250c what is the vapor pressure of a solution sucrose if its mole fraction is 0.25?

Correct answer: B. 17.8 torr

  • A. 15.2 torr
  • B. 17.8 torr
  • C. 23.8 torr
  • D. 29.7 torr

Explanation

Mole fraction of the solute = xs = 0.25Pressure of the solvent = PH2O = 23.76 torrFirst, we solve for the mole fraction of the solvent.x(H2O) = 1 - 0.25 = 0.75Now, we can solve for the pressure of the solution:P(sol) = (xH2O)(PH2O)= (0.75) (23.76 torr)P(sol) = 17.82 torrTherefore, the vapor pressure of the solution is 17.82 torr.

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