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Interpretation of Data & Rate Law
49Interpretation & The Use of Rate LawITK-329 Kinetika & KatalisisDicky [email protected]
Chapter 350Conversion
Moles of A consumed = Moles of A fed Moles of A IN the reactor
Batch SystemsFlow Systems
51Typical Questions:3.9A first-order polymerization reaction is being run in a batch reactor. A concentration of 0.007 mol/liter of monomer is loaded into the reactor, and then a catalyst is added to initiate the reaction. Experiments show that the reaction is 30% complete in 10 minutes.a. Calculate the rate constantb. Calculate the half-lifec. How long will it take for the reaction to be 90% complete?d. How would the time in (c) change if you increased the concentration in the reactor to 0.16 mol/liter?e. Repeat for a second order reaction. 52Typical Questions (2):3.10N2O5 can be made via oxidation of ammonia over a platinum gauze. You do an experiment and find that you get 50% conversion of the ammonia with a 0.1 second residence time in the reactor at 1000 K. a. Calculate the rate constant for the reaction assuming that the reaction is first-order in the ammonia pressure and zero-order in oxygen pressure.b. How long of a residence time will you need to get 90% conversion at 1000 K?c. Now assume that the reaction is instead secondorder in the ammonia pressure.d. Estimate the rate constant for the reaction assuming 50% conversion in 0.1 second.Assume a stoichiometric feed at 1 atm pressure 53Kinetics from Minimal Number of DataL3.5In a homogeneous isothermal liquid polymerization, 20% of the monomer disappears in 34 min for initial monomer concentration of 0.04 mol/L and also for 0.8 mol/L. What is the rate of disappearance of the monomer?
L3.10 In units of moles, liters, and seconds, find the rate expression for the decomposition of ethane at 620oC from the following information obtained at atmospheric pressure. The decomposition rate of pure ethane is 7.7%/sec, but with 85.26% inerts present the decomposition rate drops to 2.9%/sec.54Kinetics from Minimal Number of DataL3.21Find the first-order rate constant for the disappearance of A in the gas reaction 2 A > R if, on holding the pressure constant, the volume of the reaction mixture, starting with 80% A, decreases by 20% in 3 min.
L3.22Find the first-order rate constant for the disappearance of A in the gas reaction A > 1.6 R if the volume of the reaction mixture, starting with pure A, increases by 50% in 4 min. The total pressure within the system stays constant at 1.2 atm, and the temperature is 25oC55Kinetics from Minimal Number of Data: Reversible ReactionL3.9The first-order reversible liquid reactionA R, CA0 = 0,5 mol/L, CR0 = 0Takes place in a batch reactor. After 8 minutes, conversion of A is 33.3% while equilibrium conversion is 66.7%. Find the rate equation for this reaction56Integration of a Rate Equation:Interpretation of Reaction OrderL3.2Liquid A decomposes by first order kinetics, and in a batch reactor 50% of A is converted in a 5-minute run. How much longer would it take to reach 75% conversion?
L3.3Repeat the previous problem for second-order kinetics57Integration of a Rate EquationAssume that you are running a reaction A B that follows:
Where rA is the rate of reaction in mol/(L.sec), T is temperature in Kelvin, R = 1.987 cal./(mol.K)The temperatur varies during the course of the reaction according to:
where t is time in secondHow long will it take to reduce the A concentration from 1 mol/L to 0,1 mol/L?
For homogeneous reaction taking place in a batch reactor:For a constant volume batch reactor:
58Integration of a Rate Equation:Interpretation of Reaction OrderL3.4A 10-minute experimental run shows that 75% of liquid reactant is converted to product by a order rate. What would be the amount converted in a half-hour run?
59Integration of a Rate Equation:Constant Volume vs Constant Pressure Batch ReactorL3.23A zero-order homogeneous gas reactionA r RProceeds in a constant-volume bomb, 20% inerts, and the pressure rises from 1 to 1.3 atm in 2 min.If the same reaction takes place in a constant-pressure batch reactor, what is the fractional volume change in 4 min if the feed is at 3 atm and consist of 40% inerts?60Integration of a Rate Equation:Constant Volume vs Constant Pressure Batch ReactorL3.24A zero-order homogeneous gas reactionA r RProceeds in a constant-volume bomb, P = 1 at t = 0, and P = 1.5 when t = 1.If the same reaction, same feed composition, and initial pressure proceeds in a constant-pressure setup, find V at t = 1 if V = 1 at t = 061Integration of a Rate Equation:Constant Volume vs Constant Pressure Batch ReactorL3.25The first-order homogeneous gaseous decompositionA 2.5 RIs carried out in an isothermal batch reactor at 2 atm with 20% inerts present, and the volume increases by 60% in 20 min.In a constant-volume reactor, find the time required for the pressure to reach 8 atm if the initial pressure is 5 atm, 2 atm of which consist of inerts.
62Integration of a Rate Equation:Constant Volume vs Constant Pressure Batch ReactorL3.26The gas reaction2 A R + 2 SIs approximately second order with respect to A. When pure A is introduced at 1 atm into a constant-volume batch reactor, the pressure rises 40% in 3 min.For a constant-pressure batch reactor, find:the time required for the same conversionThe fractional increase in volume at that time.
63Multiple ReactionsL3.16Nitrogen pentoxide decomposes as follows:
N2O5 O2 + N2O4 rN2O5 = (2.2x10-3 min-1).CN2O5N2O4 2 NO2 Kp = 45 mmHg
Find the partial pressures of the contents of a constant-volume bomb after 6.5 hours if we start with pure at atmospheric pressure
64Multiple Reactions:L3.18For the reactions in series:
Find the maximum concentration of R and when it is reached if:k1 = 2 k2k1 = k2
