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6 August, 05:19

How many grams of sucrose must be added to 552 grams of water to give a solution?

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  1. 6 August, 05:44
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    1.35x10^-5 grams of sucrose must be added to produce a solution with vapor pressure of 15.5 mmHg.

    Solution:

    We can use the Raoult's law to get the mole fraction of water Xsolvent present in the solution:

    Psolution = Xsolvent Posolvent

    (17.5 mmHg - 2.0 mmHg) = Xsolvent (17.5 mmHg)

    Xsolvent = 0.886

    We use the molar mass of water to compute for its number of moles:

    moles of solvent = (552 g H2O) (1 mol H2O / 18.015 g H2O)

    = 30.64 mol H2O

    From the mole fraction of the water given by

    Xsolvent = moles of solvent / sum of moles of solution

    = moles of H2O / (moles of sucrose + moles of H2O)

    0.886 = (30.64 mol) / (moles of sucrose + 30.64 mol)

    we can solve for the number of moles of sucrose:

    moles of solute = (30.64 mol / 0.886) - 30.64 mol = 3.94 mol sucrose

    We can now calculate for the mass of sucrose using its molar mass:

    mass of sucrose = (3.94 mol sucrose) (342.3 g sucrose / 1 mol sucrose)

    = 1.35x10^-5 grams
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