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Part A If 0.120 mol of a nonvolatile nonelectrolyte are dissolved in 3.90 mol of

ID: 990859 • Letter: P

Question

Part A

If 0.120 mol  of a nonvolatile nonelectrolyte are dissolved in 3.90 mol of water, what is the vapor pressure PH2O of the resulting solution? The vapor pressure of pure water is 23.8 torr at 25 C .

Express your answer with the appropriate units.

PH2O =

Part B

A solution is composed of 1.30 mol cyclohexane (Pcy=97.6 torr) and 2.40 molacetone (Pac=229.5 torr). What is the total vapor pressure Ptotal above this solution?

Express your answer with the appropriate units.

PH2O =

Part B

A solution is composed of 1.30 mol cyclohexane (Pcy=97.6 torr) and 2.40 molacetone (Pac=229.5 torr). What is the total vapor pressure Ptotal above this solution?

Express your answer with the appropriate units.

Ptotal =

Explanation / Answer

Part A

From Raoult's Law:

P = (P0a) x (Xa)where P0 is the vapor pressure of pure a and Xa is the mole fraction of a.

The mole fraction of water in the solution is:

3.90 mol / (3.90 + 0.12) mol = 3.90 / 4.02 = 0.97

The vapor pressure of the solution, by Raoult's Law is:

P = 0.97 X 23.8 torr = 23.086 torr

Part B

Ptotal = (P0a x Xa) + (P0b x Xb)

mole fraction cyclohexane = (1.30) / (1.30 + 2.40) = 1.30 / 3.70 = 0.35

mole fraction acetone = 1 - 0.35 = 0.65

Ptotal = (97.6 torr)(0.35) + (229.5 torr)(0.65)

        = 34.16 torr + 149.18 torr

        = 183.34 torr