34222 Jeffreys, in a treatment of the design of an acetic anhydride manufacturing facility, states that one of the key steps is the vapor-phase cracking of acetone to ketene and methane: CH3COCH3CH2CO + CHA A + B + C He states further that this reaction is first-order w...t. acetone and that specific reaction rate can be expressed by: k=8.19733-10" where k is in 5 and is in K. In this design it is desired to process 7850 kg of acetone per hour (37.6 mol/s) in a tubular reactor. The reactor consists of a bank of 1000 1-inch schedule 40 tubes (ID = 2.66 cm) arranged in parallel where each tube is 180 cm long. Consider the following five cases: CASE 1: The reactor is operated isothermally. CASE 2: The reactor is operated adiabatically. CASE 3: The reactor is surrounded by a heat exchanger where the heat-transfer coefficient is 110 J/m2K, and the T of the heating medium, T., is constant at 1250 K. CASE 4: The heat exchanger in Case 3 now has a variable T.. The reactant and the heating medium flow in the same direction. CASE 5: Same as Case 4, but the reactant and the heating medium flow in opposite directions. In the last two cases, air (Choir = 34.5 1/mol K) at a rate of 0.11 mol/s with Too = 1250 K is available for heating. The inlet T & P are the same for all cases at 1035 K & 162 kPa, respectively. AH (298K)= 80.77 kJ/mol; C-A= 163, Cn=83, & Crc=71 J/mol. A. For such reactive system: (10 points) 1) what do you think your ultimate objective should be 2) what are the tactics (the means) through which you would achieve your objective? (reflect on the rate and heath of reaction to answer this question) 3) what are your assumptions? 4) what are the constraints? 5) summarize the unknown variables for the general problem. 6) Using data from literature, verify the values of the following given data (specify the source/reference of the data) a. Calculate AHrxn (298) from AH (298). Pay attention to the species phases. b. Calculate Cp,cha from a Cpl T) equation at 298 K and 1035 K (TO). Is Cp.ch a strong function of temperature? Is the constant-Cp assumption reasonable?
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