推 sin54088 :你這麼缺p幣喔? 12/07 16:19
→ fight223 :沒人PO我就PO一下阿 12/08 00:52
推 chanthome :這樣就11000了，跟我當年一樣XD 12/08 21:05
→ fight223 :題目超長阿= = 12/08 22:43
推 afflic :是1000不是11000吧XD 12/10 05:34
課程名稱︰物理化學
課程教師︰趙基揚
開課學院：工學院
開課系所︰材料系
考試日期（年月日）︰12/5
考試時限（分鐘）：9:20~13:00
是否需發放獎勵金：是的 感謝~
（如未明確表示，則不予發放）
試題 :
1.(12pts) Agree or disagree the following statement, explain your answers as
qualitatively as possible and give the correct anwers with reasonable
explaination if tou think the statements given are wrong.
(a)The rate of reaction always increases with the increasing temperature.
(3pts)
(b)The rate of a chemical reaction could be obtianed either by the reaction
mechanism or the formulae of the reaction.(3pts)
(c)The viscosity of a lighter gas is larger than that of a heavier gas.(3pts)
(d)The molar conductivity of a strong electolyte increase linearly with the
increase of the concentration of the electolyte.(3pts)
2.(18pts)Explain the following terms, especially their physical meanings and
the associated mathematical equations.
(a)The compression factor of a gas?(3pts)
(b)The principle of corresponding states.(3pts)
(c)Convection of a gas and its driving force.(3pts)
(d)The kinectic isotope effect of a chemical reaction.(3pts)
(e)The zeroth law of thermodynamics.(3pts)
(f)Lindmann-Hinshwood mechanisim.(3pts)
3.(16pts)The critical constants of methane are Pc=45.6 atm,Vc=98.7 cm^3 mol^-1
, and Tc=190.6K
(a)Derive the relations between the critical values and the van der Walls
parameters a,b. Calculate a and b. (8pts)
(b)Estimate the radius of the methane molecular. (2pts)
(c)Derive the virial equation from the van der Wall equation by expressing
the virial parameters with a and b. Calculate the Boyle temperature of
the gas. (6pts)
4.(12pts)You were working on a thermal evaporation pocess for depositing thin
films of a certian metal on silicon wafers by heating a close chamber with
the metal pellets and the Su wafer inside. You found that the deposition
rate of the metal film decreased with time unless keeping on increasing the
temperature of the chamber. To maimtain the deposition rate a constant
without increasing the operation temperature, a piece of advice for you is
to use Knudson cell.
(a)Do you agree with the advice? Comment on your decision and give the
necessary equation to help your explanation. (8pts)
(b)If the molar mass of the solid in the cell is 260g mol^-1 and its vapor
pressure is 0.835 Pa at 400L, the mass of the metal thin film deposited
in 2hr is 104mg by using Knudson cell operated at 400K. Describe the
detail design of the cell. (4pts)
5.(10pts)The equilibrium constant for the autoprotolysis of water,
H2O→H+ +OH- , is Kw=[H+][OH-]=1*10^-14 at 298K. After a temperature-jump,
the reaction returns to equilibrium with a relaxation time of 37μs at 298K
and pH≒7. Given that the forward reaction is first-order and the reverse is
second-order overall, calculate the rate constants for the forward and the
reverse reactions.
6.(18pts)At 298K, the molar ionic conductivities of Li+, Na+, F-, and Cl- are
3.87mSm^2 mol^-1, 5.01mSm^2 mol^-1, 5.54mSm^2 mol^-1 and 7.635mSm^2 mol^-1,
respectively.
(a)The potential difference between two electrodes placed in the LiCl
aqueous solution is 12.0V. If the electrodes are 1.00cm apart, what is
the drift speed of the Li+? (3pts)
(b)What fraction of the total current is carried by Li+ when current flows
throuht the solution in (a). (3pts)
(c)What is the limiting molar conductivity of the LiCl aqueius solution?(2pt)
(d)Predict the change of the molar conductivity of the LiCl solution with
the increasing concentration of LiCl and explain your prediction. (3pts)
(e)Calculate the diffusion coefficient of Li+. (2pts)
(f)Estimate the effective radius of Li+ in water at 298K given that the
viscosity of water is 1.00*10^-3 (Kg m^-1 s^-1). (2pts)
(g)It was observed that the molar conductivity of Li+ in water at 298K was
smaller than that of K+ while Li+ was a smaller ion. However, the molar
conductivity of F- was smaller than that of Cl- while F- was a smaller
ion. Explain this conradiction.(3pts) (題目應該有錯)
7.(12pts)The following data have been obtained for the decompositon of N2O5(g)
at 67C according to the reaction 2N2O5→4NO2 + O2.
t/min 0 1 2 3 4 5
[N2O5]/(mol dm^-3) 1.000 0.705 0.497 0.349 0.246 0.173
(a)Determine the order of the reaction, the rate constant, and the half life
. It is not necessary to obtain the result graphically, you may do a
calculation using estimates of the rates of change of concentration.(6pts)
(b)Someone proposed a mechanism shown below for the reaction. What's the
rate law based on the mechanism? Evaluate the validity of the mechanism
according to the experimental date. (6pts)
N2O5 → NO2 + NO3 Ka
NO2 + NO3 → N2O5 Ka'
NO2 + NO3 →NO2 + O2 +NO Kb
NO + N2O5 → NO2 + NO2 + NO Kc
8.(6pts)Two products are formed in reactions in which there is kinectic
control of the ratio of products. The activation energr for the reaction
leading to Product 1 is greater than that leading to Product 2. Will the
ratio of prodcut concentrations [P1]/[P2] increase or decrease if the
temperature is raised?
9.(16pts)The 1-dimensional (z-dirction) energy flux of a perfcet gas
originated from thermal conduction can be expressed as
Jz=-(1/3)cλCv,m[A](dT/dz)
where c is the mean velocity of the gas molecules, λis the mean free path,
Cv,m is the molar heat capacity and [A] is the molar concentration of the
gas molecules.
(a)Derive the above equation from the view point of the gas molecules.(8pts)
(b)Predict the change in the thermal conductivity when the pressure decrease
(under constant temperature). Explain your prediction.(2pts)
(c)Predict the change in the thermal conductivity when the temperature
increases (under constant volume). Explain your prediction.(2pts)
(d)Helium(FW=4.00)(應該是MW) is confined in a cubic vessel of side 10cm with
a pressure of 1.0 mbar, one wall being at 310K and the on oppostie at
295K. The rate of flow of energy from one wall to the other is 8.1mW.
Estimate the cross section area of helium based om the above information?
(4pts)
另外附有一些數學公式 請參考前幾屆考古題
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