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John asked in Science & MathematicsChemistry · 1 decade ago

I need help with chem, finding molar mass through vapor pressures?

At 25.0°C the vapor pressure of pure methanol (CH3OH) is 0.117 atm. If 6.61 g of a nonvolatile, nondissociating solute is dissolved in one mole of pure methanol, the vapor pressure of the solution at 25.0°C is 0.107 atm. What is the molar mass of the unknown solute

please help i tried a whole bunch of stuff and still couldnt get it :[

1 Answer

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  • ?
    Lv 7
    1 decade ago
    Favorite Answer

    The key concept is Raoult's Law:

    The vapor pressure of a solution = vapor pressure of solvent x mole fraction of solvent.

    (since there's only one volatile fraction.)

    so 0.107atm = 0.117atm x mole fraction solvent.

    mole fraction of solvent = 0.107atm / 0.117atm = 0.915.

    1 mole = 0.915 x total moles.

    Total moles = 1mole / 0.913 = 1.093moles.

    moles solute = total moles - moles solvent = 1.093 - 1 = 0.093moles

    6.61g = 0.093moles.

    Molar mass = 6.61g / 0.093moles.

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