課程名稱︰材料熱力學一
課程性質︰必修
課程教師︰林招松
開課學院：工學院
開課系所︰材料系
考試日期（年月日）︰2013.12.06
考試時限（分鐘）：180 分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Materials Thermodynamics I 2nd examination
R = 8.3144 J/(mole K) = 1.987 cal/(mole K) = 0.082057 (liter-atm)/(mole K)
1. A rigid container is divided into two compartments of equal volume by a
partition. One compartment contains 2 mole of ideal gas A at 2 atm, and the
other contains 1 moles of ideal gas B at 1 atm. Calculate the change in
Helmholtz free energy which occurs when the partition between the two
compartments is removed. Hint : you may express your answer in terms of V
(15%)
2. Calculate the configuration entropy of one mole CO when equal numbers of
molecules are orientated in opposite direction and random mixing of the
two orientations occurs. (7%)
3.
(1) Do you agree that the molar specific heat cp at constant pressure is
always larger than the molar specific heat cv at constant volume ? (5%)
(2) Show that (δS/δV)(定T)=(δP/δT)(定V)=α/β, where α and β are
the isobaric thermal expansivity and isothermal compressibility of a
substance, respectively. (10%)
(3) Show that α approaches zero at 0 K, while βdoes not approach zero
at 0 K. (Hint : considering the Third Law and question (2)) (10%)
4. Why it is so importment to know the specific heat capacity as a function
of temperature ? (8%)
5.
(1) Compare Einstein and Debye approaches for the calculation of the heat
capacity. (8%)
(2) Regarding diamond and copper, which one has larger Debye temperature ?
Why ? (7%)
6. Answer one of the following two question. (15%)
(1) A quantity of supercooled liquid tin is adiabatically contained at 490 K.
Calculate the fraction of the tin which spontaneously freezes. Given
ΔH(melting,Sn) = 7070 at T(melting) = 505 K
cp(Sn,liquid)=34.7-9.2*10^(-3) T。J/K
cp(Sn,solid)=18.5+26*10^(-3) T。J/K
(2) Calculate the standard enthalpy and changes at 298 K for the reaction
2Cu + 1/2O2 = Cu2O ΔG0=-40500-3.92TlnT+29.5T cal
7. Answer the following question briefly (15%)
(1) Starting from the thermal contact of two closed system, namely A and B,
prove that the flow of heat ceases when systems A and B have an identical
temperature.
(2) What is microstate ? What is the most probable distribution ?
(3) How do you know about chemical potential ( definition and applications)?
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.112.243.14