homwork7 - ChE 101 Chemical Reaction Engineering Winter...

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ChE 101 – Chemical Reaction Engineering Winter 2014 Homework #7 Due Tuesday, March 4, 2014 in class Read Schmidt, Chapters 5 and 10 NOTE: Please list all of your assumptions and cite any external sources used when solving each problem. 1) Computational Problem of the Week: 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 𝑜𝑜 𝐹𝐹 . The reactor pressure may be assumed constant. 𝐶𝐶𝑙𝑙 2 + 𝐶𝐶 3 𝐻𝐻 6 𝑘𝑘 1 → 𝐶𝐶 3 𝐻𝐻 5 𝐶𝐶𝑙𝑙 + 𝐻𝐻𝐶𝐶𝑙𝑙 𝐶𝐶𝑙𝑙 2 + 𝐶𝐶 3 𝐻𝐻 6 𝑘𝑘 2 → 𝐶𝐶 3 𝐻𝐻 6 𝐶𝐶𝑙𝑙 2 The rate coefficients have units of lbmol/(hr ft 3 atm 2 ) and are: 𝑘𝑘 1 = 2.06 𝑥𝑥 10 5 𝑒𝑒𝑥𝑥𝑒𝑒 �− 27200 𝑅𝑅𝑅𝑅 𝑘𝑘 2 = 11.7 𝑒𝑒𝑥𝑥𝑒𝑒 �− 6860 𝑅𝑅𝑅𝑅 in which T is in o R and the gas constant R is 1.986 BTU/(lbmol o R). The rate expressions are: 𝑟𝑟 1 = 𝑘𝑘 1 𝑃𝑃 𝐶𝐶 3 𝐻𝐻 6 𝑃𝑃 𝐶𝐶𝑙𝑙 2 𝑟𝑟 2 = 𝑘𝑘 2 𝑃𝑃 𝐶𝐶 3 𝐻𝐻 6 𝑃𝑃 𝐶𝐶𝑙𝑙 2 The thermodynamic data for this reaction are listed in the following table: Component A B x 10 2 C x 10 5 D x 10 9 𝐶𝐶𝑙𝑙 2 6.432 0.8082 -0.9241 3.695 𝐶𝐶 3 𝐻𝐻 6 0.866 5.602 -2.771 5.266 𝐶𝐶 3 𝐻𝐻 5 𝐶𝐶𝑙𝑙 0.604 7.277 -5.442 17.42 𝐻𝐻𝐶𝐶𝑙𝑙 7.235 -0.172 0.2976 -0.931 𝐶𝐶 3 𝐻𝐻 6 𝐶𝐶𝑙𝑙 2 2.496 8.729 -6.219 18.49 Δ𝐻𝐻 𝑟𝑟1 -26,690 cal/mol (assumed to be constant) Δ𝐻𝐻 𝑟𝑟2 -44,080 cal/mol (assumed to be constant)
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