Part A. If 0.680 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 .
Part B. A solution is composed of 1.00 mol cyclohexane (P∘cy=97.6 torr) and 2.50 mol acetone (P∘ac=229.5 torr). What is the total vapor pressure Ptotal above this solution?
A)
n = 0.68 mol of nonvolatile
n = 3.9 mol water
P° = 23.8 torr
the
dP = x*P°
x = mol fraction of nonvolatile subs
x = mol S / (total mol)
total mol = 3.9+0.68 = 4.58
x = 0.68/4.58 = 0.14847
dP= x*P° = 0.14847*23.8 = 3.533586 torr
Pfinal = P° - dP = 23.8-3.533586 = 20.2664 torr
B)
n = 1
n = 2.5
this must be used with raoult law
P°mix = Xa*Pa° + Xb*Pb°
Xa = 1/(1+2.5) = 0.285714
Xb = 2.5/(1+2.5) = 0.7142
P°mix = 0.285714*97.6 + 0.7142*229.5 = 191.7945864 torr
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