課程名稱︰化工熱力學甲一
課程性質︰必修
課程教師︰林祥泰
開課學院：工學院
開課系所︰化工系
考試日期（年月日）︰102/1/8
考試時限（分鐘）：100 +10mins
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Each problem : 4 points total 100
1. The Antoine equation of water is : logP(atm) = 5.19- (1730.6)/(T-39.7)
T is in unit of K, P: vapor pressure
(a) What is the fugacity of water @ 100 degree C, 1atm?
(b) What is the fugacity of water @ 25 degree C, 1atm?
(c) What is the fugacity of water @ 25 degree C, 0.0001 atm?
2. Answer the following quantities in terms of T,P,X, and/or a number. In
the last case, please provide your reasoning.
(a) The chemical potential of a pure ideal gas @ T and P approaching 0.
(b) The fugacity of a pure ideal gas @ T and P
(c) The chemical potential of a component whose concentration is almose 0
in a ideal gas mixure @ T and P.
3. The Gibbs free energy of a binary mixure has been reported in the following
polynomial form:G(T,P,X1,X2)=x1*b1+x2*b2+a0*x1*x2+x1*RT*ln(x1)+x2*RT*ln(x2)
(a) What values should be used for b1 and b2 ?
(b) What is the change of Gibbs free energy upon mixing ?
(c) What is the excess Gibbs free energy of the mixure ?
(d) What is the molar excess Gibbs free energy of component 2 ?
(e) What is the partial molar Gibbs free energy of component 2 ?
(f) What is the activity of component 2 ?
(g) What is the activity coefficient of component2 ?
(h) What values of a0 would imply ideal mixure ?
(i) Show that the minimum work needed to separate 1 mole of such a binary
mixure into its pure components @ constant T and P is negative Gibbs
free energy upon mixing.
4. The vapor-liquid equilibrium of acetone-chloroform binary mixure is deter-
mined @ 350K and shown in the figure.
(a) What is the vapor pressure of acetone and chloroform, respectively?
(b) What are the azeotropic pressure and composition of acetone-chloroform?
(c) Determine the activity coefficient of acetone and chloroform,
respectively, in the liquid phase @ the azeotropic point.
(d) Determine the fugacity of acetone and chloroform, respectively, in the
vapor phase @ azeotropic point.
(e) Determine the minimum work needed to separate the azeotropic vapor
mixure into pure acetone and chloroform vapors @ constant T and P.
(f) Determine the minimum work needed to separate the azeotropic liquid
mixure into pure acetone and chloroform liquids @ constant T and P.
(g) Determine the equilibrim state (number of phases and composition of
each phase) of the mixure containing a total of 75% acetone @ 1.7bar
and 350 K
(h) The acetone-chloroform binary mixure with the azeotropic composition
is placed in a cylinder submerged in a heat bath if 350K. The pressure
of the cylinder can be changed by a piston as shown in figure. Describe
the phase change of the mixure as the pressure is reduced (by pulling
the piston upwards) from an initial value of 2.0 bar to a final pressure
value of 1.5 bar
(i) Repeat problem 4. (h) but the composition of the mixure contains 75%
of acetone.
第四題相圖類似:http://tinyurl.com/aatqen3
figure for 4. (h) and (i) :
: | :
: | :
: | :
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: _____ :
: mixure :
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