110年 - 110 國立中央大學_碩士班招生考試_化學工程與材料工程學系/甲組(一般生):化工熱力學及化學反應工程#105938

1. A first order gaseous phase reaction is catalyzed by a non-porous solid. The kinetic rate constant and the external mass transfer coefficients are k and k_g respectively. The effective rate constant (keft) is given by (A) k_eff= k+ k_g (B) (C) (D)

3. The eddy diffusivity for a liquid in plug flow must be (A) 1  (B)0(C)∞(D) Between 0 and 1

7. If Thiele modulus is____________ considered as negligible. (A) 0 (B)∞(C) ＜0.5 (D) ＞0.5

(b) (8%) The experimental results show that at 200℃ the reaction is second order at low partial pressure of TTIP and zero order at high partial pressures. While at higher temperature (300 ℃ ) the reaction is second order in TTIP over the entire pressure range. Discuss these results based on the rate law derived above. [Hint: adsorption is exothermic in general]

2. (10%) The intensive state of a PVT system containing N chemical species andπ phases is in equilibrium. Show that the phase rule is: F = 2 - π + N, where F is the degree of freedom of the system.

(c) (5%)The pressure decreases in the direction of flow (Hint:  is defined as the volume expansivity and Cp is the heat capacity at constant pressure).

(a) (6%) Calculate the composition of the vapor in equilibrium with a liquid containing 60 mol % perfluoro-n-heptane and 40 mol % of n-heptane at 25℃ and 0.6 bar, assuming the solution is ideal.

(b) (10%) Please derive the expressions of the activity coefficient for both components in a binary mixture, assuming the solution obeys the regular solution theory. The excess Gibbs energy equation of the regular solution theory is as following:, where δi is solubility parameter of component i and Φ_i is volume fraction of component i:

(c) (6%) Recalculate the composition in part (a), assuming the solution obeys the regular solution theory. The regular solution parameters are