The vapour pressure of water at 20° C is 17.5 mm Hg. If 18 g of glucose (C₆H₁₂O₆) is added to 178.2 g of water at 20° C, the vapour pressure of the resulting solution will be (a) 17.325 mm Hg (b) 15.750 mm Hg(c) 16.500 mm Hg (d) 17.500 mm Hg
Answers
(a) : In solution containing nonvolatile solute,pressure is directly proportional to its mole fraction.
Psolution = vapour pressure of its pure component × mole fraction in solution
Psolution = 17.32.
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The vapor pressure of the resulting solution at is 17.325mm Hg
Explanation:
As the relative lowering of vapor pressure is directly proportional to the amount of dissolved solute.
The formula for relative lowering of vapor pressure will be,
where,
= relative lowering in vapor pressure
i = Van'T Hoff factor = 1 (for non electrolytes like glucose)
= mole fraction of solute =
Given : 18 g of glucose is present in 178.2 g of water
moles of solute (glycerol) =
moles of solvent (water) =
Total moles = moles of solute (glucose) + moles of solvent (water) = 0.1 + 9.9 = 10
= mole fraction of solute =
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