Question

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29. A pair of gas-phase reactions with the following stoichiometric equations take place in a continuous reactor A+B C The reactions of ethylene and water to form ethanol and of ethanol to form diethyl ether and water constitute such a reaction system. (See Problem 9.24.) (a) Suppose the reactor feed contains A, B, and inerts (1), with mole fractions xA-XBo, and XB+ respectively. Letting fA denote the fractional conversion of A (mol A consumed/mol A fed) and Yc the yield of C based on consumption of A (mol C generated/mol A consumed), prove that for a basis of 1 mol of feed, the number of moles of each species at the outlet are as follows: (b) Write a spreadsheet to perform material and energy balance calculations for a basis of 1.00 mol feed. The program should take as inputs (i) the standard heats of formation (kJ/mol) of A(g), B(g), C(g), and D(g); (ii) the coefficients (a,b,c, d) of the formulas Cp a+ bT+cT2 +dT3 for gaseous A, B, C, D, and I, where Cp has units of kJ/(mol. °C); (ii) the feed and product tempertures, Tf(°C) and Tr(C); (iv) xAo, Bo, JA, and Yc It should generate an inlet-outlet enthalpy table based on elemental species at 25°C as references and then calculate the required heat transfer to or from the reactor, Q(kJ). The spreadsheet should be tested using the species and reactions of Problem 9.24 and should appear as shown below. (Some of the input data and calculated results are shown.)

Answer 1