Calculate the osmotic pressure of the mannitol solution of, Ask an Expert

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A solution of the sugar mannitol ( molar mass 182.2 g/mol ) isprepared by adding 54.66 g of mannitol to 1.000 kg of water. Thevapor pressure of pure liquid water is 17.54 torr at 20oC. Mannitol is nonvolatile and does not ionize in aqueoussolution.

a.) Assuming that aqueous mannitol solutions behave ideally,calculate the vapor-pressure lowering for the above solution at20o C.

b.) The observed vapor-pressure lowering of the mannitol solutionabove is 0.0930 torr. Calculate the activity coefficient ( based onmole fraction ) of water in this solution.

c.) Calculate the osmotic pressure of the mannitol solution of part( b ) when it is measured against pure water, and compare it withthe osmotic pressure of the ideal solution.

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