課程名稱︰物理化學上
課程性質︰必修
課程教師︰陳振中
開課學院：
開課系所︰農化系
考試日期（年月日）︰2010.12.16
考試時限（分鐘）：110 min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Section A (80%)
1. Ammonia (considered to be an ideal gas) initially at 298 K and 1 bar
pressure is heated at constant pressure until the volume have doubled.
Calculate (a) q per mole, (b) w per mole, (c) ΔH per mole, (d)ΔU per
mole, (e) ΔS per mole. Given: Cp per mole = 25.9 + 33.0*10^(-3)T -
30.46*10^(-7)T^2 in J/K mol. (20%)
2. An ideal monatomic gas is heated from 300 to 1200 K and the pressure is
allowed to rise from 1 to 2 bar. What is the change in molar entropy?(10%)
3. At 300 K and a particular pressure, a real gas has a fugacity coefficient
φ of 2.50. At this pressure, what is the difference in the chemical
potential of this real gas and an ideal gas? (10%)
4. Calculate ΔG and ΔS for mixing 3 mol of hydrogen with 2 mol of oxygen at
25℃ under conditions where no chemical reaction occurs. (10%)
5. Calculate the molar Gibbs energy G of fusion when supercooled water at -5℃
freezes at constant T and P. The enthalpy of fusion of ice is 6000 J/mol
at 0℃. The heat capacities of water and ice in the vicinity of freezing
point are 75.3 and 38 J/ K mol, respectively.(15%)
6. The NBS tables contain the following data at 298 K : (15%)
ΔrH。/ kJ/mol ΔrG。/ kJ/mol
CuSO4(s) -771.36 -661.8
CuSO4．H2O(s) -1085.83 -918.11
CuSO4．3H2O(s) -1684.31 -1399.96
H2O(g) -241.818 -228.572
(a)What is the equilibrium constant over a mixture of CuSO4(s) and
CuSO4．H2O(s) at 298 K?
(b)What is the equilibrium constant over a mixture of CuSO4．H2O(s)
and CuSO4．3H2O(s) at 298 K?
(c)What is the answer to (a) if the temperature is 400 K and ΔCp。
is assumed to be zero?
Section B (20%)
1. (5%)Explain why the reported S298。 value of fluoride ions, F-(ao),
is negative.
2. (5%)The Helmholtz energy is defined as A = U - TS. Proove that
╭ δA ╮
S = - │ ————│
╰ δT ╯V,{ni} (δ 是偏微分)
3. (10%)Consider a system of supercooled water at 263 K. If the system
is isolated, predict what would happen after a spontaneous cheange.
Explain your prediction with or without calculations. [Hints:you
still get marks if you can eliminate some impossible results]
You may or may not need the following data:
Heat capacity of ice = 36.8 J/ K mol
Heat capacity of liquid water = 75.3 J/ K mol
Latent heat of fusion at 273 K = -6004J/mol
____________________
U = q+w
CdT
dS = ——
T
___ ___ f
G = G。+RTln —
p。
ΔG。 = ΔH。- TΔS。
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