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課程名稱︰物理化學二
課程性質︰必修
課程教師︰吳嘉文
開課學院：工
開課系所︰化工系
考試日期（年月日）︰2009/03/30
考試時限（分鐘）：110
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
First Midterm Exam of Physical Chemistry
March 30th, 2009
1. (15%) Determine the numbers of components (c), phases (p), and the degrees
of freedom (f) of the following systems. (3 points for each)
(a) Ice and water.
(b) CuSO4 saturated aqueous solution.
(c) A solution of sodium chloride in water at the equilibrium pressure in a
closed container.
(d) Solid, liquid, and gaseous acetone at equilibrium.
(e) An equilibrium system FeO(s) + CO(g) --> CO2(g) + Fe(s)
2. (7%) Calculate the elevation in the boiling point of water if 6.09 g of a
nonvolatile compound with molar mass of 187.4 g/mol is dissolved in 250 g of
water. The value of Kb = 0.541 K kg mol-1; ΔvapHm = 40.66 kJ mol-1. (7
points)
3. (7%) In a study of the osmotic pressure of hemoglobin at 276.15 K, the
pressure was found to be equal to that of a column of water 3.51 cm in height.
The concentration was 1 g per 0.1 dm3. Calculate the molar mass. The relative
density of mercury with reference to water is 13.59, and 1 mmHg = 133.32 Pa.
(7 points)
4. (9%) Describe the changes in the carbon system shown below for (a)
isothermally compressing from point A (3 points), (b)isobarically heating
from point B (3 points), and (c) describe point C. (3 points)
5. (12%)
(a) Using the following data to draw a liquid-liquid phase diagram for
the formic acid-benzene system. wi is the mass fraction of component i. (5
points)
T(oC) 25 30 40 50 60 70 73.2
w(HCOOH) in formic acidrich phase 0.141 0.151 0.178 0.210 0.257 0.351 0.518
w(C6H6) in benzene-rich phase 0.904 0.896 0.870 0.834 0.779 0.686 0.518
(b) How much is the upper consolute temperature? (2 points)
(c) Calculate the amounts of each phase when the equilibrium system contains
a mixture of 50 g of C6H6 and 50 g of HCOOH. (5 points)
6. (15%) The vapor pressure of n-C5H12 at 25 °C is 0.674 bar, and that of n-
C6H14 is 0.198 bar.
(a) Calculate the partial pressure of each substance and the
total pressure over a solution containing x(n-C5H12) = 0.4. Assume that these
substances form an ideal solution. (3 points)
(b)What is the composition of the
vapor phase in equilibrium with the solution described in (a)? (3 points)
(c)Draw the phase diagram including liquid line and vapor line. (6 points)
(d)The pressure over such a solution containing x(n-C5H12) = 0.6 at 25 °C is
reduced until the solution begins to boil. At what pressure will the solution
begin to boil? What is the composition of the first bubble of vapor? (3
points)
7. (15%) The solid-liquid phase diagram for the Mg-Zn system is shown below.
Describe the physical state of the system in the various numbered areas and
points.
8. (20%) A phase diagram for the Pb(NO3)2-NaNO3-H2O system at 25 °C is
shown below. (a) Describe the physical state in the various numbered areas
and points. (10 points) (b) When Pb(NO3)2 was added, the solubility of
NaNO3 decreased. Why? (2%) (c) If water was evaporated from point A,
describe the change of the physical state during the loss of water. (8 points)
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