Propylene is hydrogenated in a batch reactor: C3H6 (g) +

Chapter 5, Problem 5.38

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QUESTION:

Propylene is hydrogenated in a batch reactor: C3H6 (g) + Hz(g) - C3H8 (g) Equimolar amounts of propylene and hydrogen are fed into the reactor at 25C and a total absolute pressure of 32.0 atm. The reactor temperature is raised to 235C and held constant thereafter until the reaction is complete. The propylene conversion at the beginning of the isothermal period is 53.2%. You may assume ideal gas behavior for this problem, although at the high pressures involved this assumption constitutes a crude approximation at best. 16From D. A. Crowl, D. W. Hubbard, and R. M. Felder. Set: Stoichiometry, Center for Chemical Process Safety. New York, 1993. 224 Chapter 5 Single-Phase Systems Encyclopedia Equipment condenser Encyclopedia Equipment stripper (a) What is the final reactor pressure? (b) What is the percentage conversion of propylene when P = 35.1 atm? (c) Construct a graph of pressure versus fractional conversion of propylene covering the isothermal period of operation. Use the graph to confirm the results in parts (a) and (b). (Suggestion: Use a spreadsheet.)

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QUESTION:

Propylene is hydrogenated in a batch reactor: C3H6 (g) + Hz(g) - C3H8 (g) Equimolar amounts of propylene and hydrogen are fed into the reactor at 25C and a total absolute pressure of 32.0 atm. The reactor temperature is raised to 235C and held constant thereafter until the reaction is complete. The propylene conversion at the beginning of the isothermal period is 53.2%. You may assume ideal gas behavior for this problem, although at the high pressures involved this assumption constitutes a crude approximation at best. 16From D. A. Crowl, D. W. Hubbard, and R. M. Felder. Set: Stoichiometry, Center for Chemical Process Safety. New York, 1993. 224 Chapter 5 Single-Phase Systems Encyclopedia Equipment condenser Encyclopedia Equipment stripper (a) What is the final reactor pressure? (b) What is the percentage conversion of propylene when P = 35.1 atm? (c) Construct a graph of pressure versus fractional conversion of propylene covering the isothermal period of operation. Use the graph to confirm the results in parts (a) and (b). (Suggestion: Use a spreadsheet.)

ANSWER:

Problem 5.38Propylene is hydrogenated in a batch reactor: C H (g) + H (g) - C H (g) 3 6 2 3 8Equimolar amounts of propylene and hydrogen are fed into the reactor at 25°C and a totalabsolute pressure of 32.0 atm. The reactor temperature is raised to 235°C and held constantthereafter until the reaction is complete. The propylene conversion at the beginning of theisothermal period is 53.2%. You may assume ideal gas behavior for this problem, although atthe high pressures involved this assumption constitutes a crude approximation at best. (a) Whatis the final reactor pressure(b) What is the percentage conversion of propylene when P = 35.1 atm(c) Construct a graph of pressure versus fractional conversion of propylene covering theisothermal period of operation. Use the graph to confirm the results in parts (a) and (b).(Suggestion: Use a spreadsheet.) Step-by-step solution Step 1 of 6 ^The balanced equation for the hydrogenation of propylene is given below: C36g) + H (2 - C H3(8Here one mol of propylene gas combines with one mole of hydrogen to create one mole ofpropane in a batch reactor. The feed has equimolar amounts of propylene and hydrogen, butnot given an initial volume. To start the material balance, assume one mol each of propyleneand hydrogen fed.Draw a flow diagram with the known quantities.The temperature is raised from 298 K to 508 K then holds at 508 K thereafter until the reactionis complete. The propylene conversion at the beginning of the isothermal period (whentemperature is constant) is 53.2%.(a)\nAt completion of reaction, the two feed moles (propylene and hydrogen) convert totally topropane. The product is still a gas, so determine the final pressure from the ideal gasrelationship at constant volume. P i f f P =f n T i i 32.0 atm × 1.00 mol × 508 K = 2.00 mol × 298 K = 27.3 atmThus, the final pressure in the reaction is .

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