Question - PFR energy balance with multiple reactions

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Question 1 - PFR energy balance with multiple reactions

Allyl chloride is to be produced in a 25-ft long 2-in ID tube operating as a PFR. The feed is a 4:1 molar ratio of propylene to chlorine and it enters at a feed rate of 0.85 lbmol/hr, 2 atm of pressure, and 392^oF. The reactor pressure may be assumed constant.

Cl₂ + C₃H₆ →^k_1 C₃H₅Cl +HCI

Cl₂ + C₃H₆ →^k_2 C₃H₆Cl₂

The rate constants have units of lbmol/(hr ft³ atm²) and are

k₁ = 2.06 x 10⁵exp (-27200/(RT))

k₂ = 11.7 x exp -6860/RT

in which T is in ^oR and R is in Btu/(lbmol^oR). The rate expressions are

r₁ = k₁P_{C_3H_6}P_{Cl_2}

r₂ = k₂P_{C_3H_6}P_{Cl_2}

The thermodynamic data for this reaction are listed in Table 1. The partial molar heat capacities are expressed in units of cal/mol K and can be calculated using

C_pj = A_j + B_jT + C_jT² + D_jT³

Two modes of operation have been considered for this PFR, adiabatic and constant wall temperature. A constant wall temperature of 392^oF can be realized by boiling ethylene glycol on the outer surface of the reactor wall. The inside heat-transfer coefficient is 5 Btu/hr ft2^oF for a feed rate of 0.85 lbmol/hr and 2 atm total pressure.

(a) Compute the molar flow rates of Cl₂, C₃H₅Cl and C₃H₆Cl₂, and the reactor temperature as a function of reactor length for adiabatic operation. Plot these dependent variables versus reactor length.

(b) Compute the molar flow rates of Cl₂, C₃H₅Cl and C₃H₆Cl₂, and the reactor temperature as a function of reactor length for constant wall temperature operation. Plot these dependent variables versus reactor length. What do you notice when you compare the extent of product formation and reactor temperature for both cases? Why do you think this happens?

(c) Now compare the exact solutions developed above to the approximate solution where the component heat capacities and the heat of reaction are evaluated at the inlet temperature and assumed constant. Plot the molar flow rates of C₃H₅Cl and C₃H₆Cl₂ for the exact and approximate solutions on different graphs, one for adiabatic and one for non-adiabatic operation. Prepare similar plots for the temperature. Comment on the errors this approximation introduces.

Question 2 - Ethane cracker

Ethane cracking in presented in terms of a drastically simplified molecular model containing 7 reactions. This reaction scheme and the corresponding kinetic model was derived from the radical scheme developed by Sundaram and Froment [1977]. Table 1 gives the kinetic parameters of these reactions. Table 2 is the matrix of stoichiometric coefficients.

Note - All required information are in attached files. Both 4 needs to be done Please find question details and details to help to find solution. Also attached a reading document related to this. Also attached 3 images which are hints to solve the problem.it has equation and graph which will be similar to its solution.

Attachment:- Assignment file - PFR energy balance.rar

Reference no: EM132555305

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