Problem 5 (10%) A gas-phase, reversible reaction, , with both rate constants obeying the Arrhenius Law. Please show that the difference of activation energy between forward (k₁) and backward (k₂) rate constants is equal to the reaction enthalpy; i.e., indicate the activation energy of the forward and backward rate constants, respectively.

Problem 3 (10%) (a) (8) A vessel, divided into two parts by a partition, contains 4 mol of A gas at 350K and 30 bar on one side and 3 mol of B gas at 350K and 20 bar on the other. If the partition is removed and the gases mix completely to form a gas mixture also at 350K, what are the changes in enthalpy, entropy and Gibbs free energy? Assume both A and B gases are ideal gases with Cv = 2.5R. R = (b) (2) The enthalpy of a C-D binary system at fixed T and P is represented by the equation: H = 600xc +  400xD+xcxD(40xc+20xD). Is this binary system an ideal solution? Why or why not?

(a) What is the degree of freedom of azeotrope according to phase rule? 

(b). If the gas phase is an ideal solution, is the liquid phase an ideal solution as well? Why or why not?

(c) Draw the curves of Gibb free energy Vs. composition for both gas and liquid phases at 75℃.

(d) Draw the curves of Gibb free energy VS. composition for both gas and liquid phases at 70℃.

(e) Draw the curves of Gibb free energy Vs. composition for both gas and liquid phases at 65℃.

Problem 6(10%) A liquid-phase irreversible reaction: P +Q →R+S follows the elementary reaction rate law. This reaction is carried out in a series of three, equal volume CSTRs at the same reaction temperature. The concentrations of P and O in the feed to the first reactor are the same If the rate constant (k) for this reaction is 3.50 L/mol-h at the operation temperature. The final conversion is 0.75. If the total volume of these three reactors is 9300 L, what is the volume flow rate (in L/h) to the first reactor? What are the conversions in reactors 1 and 2?

Problem 7(10%) The elementary irreversible gas phase catalytic reaction A-B is carried out isothermally in a batch reactor with rate constant of 0.2 dm3/kgcat *min at 300K. The catalyst deactivation follows a first order decay law (with decay rate constant of 0.1 at 300K) and is independent of the concentrations of both A and B. Calculate the conversion in the reactor after 10 minutes at 300 K. Additional Information: Initial concentration of A = 1 mol/dm3 Batch reactor volume (V0) = 1 dm3 Catalyst weight (W)= 1 kg

110年 - 110 國立清華大學碩士班考試入學試題_化學工程學系:化工熱力學及化學反應工程#105705