Manhattan College - CHEM 228ChE228_HW11_Solution

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ChE 228 Due: 11th December 2013 HW #11 4:30 PM Problem #1 – The reaction, A -> M, takes place in a CSTR operated for 350 days/year and 24 hr/day. The reaction is first order in A with rate consta... nt, k = 0.005 min–1. The reactant A is supplied at 0.2 mol/L for a market price of $0.30/mol during the five-year period (or 0.06 $/l = Co). The cost of operating your reactor is proportional to the volume of the reactor, with a proportionality constant of $45/(L*year) or Cv = 8.929x10-5 $/L/min. This cost includes depreciated capital cost and maintenance costs. Given a demand of 6x106 mol/year and a selling price of $1.00/mol, calculate a) Optimized flow rate and volume b) amount of profit each year Problem #2 – The data in Table 10.P2 are from a batch experiment measuring the distribution of octanoic acid between an aqueous phase consisting of a solution of corn syrup in water and an organic xylene phase. The aqueous phase was continuous, and the concentration in the aqueous phase was measured with a calibrated conductivity probe. Initially, 2 L of the aqueous phase was placed in a tank with 0.2 L of xylene and agitated until the drop size of the dispersed organic phase had equilibrated. 0.25 L of an aqueous phase containing octanoic acid was then added and the concentration in the continuous phase was recorded as a function of time. a) Show that for unequal volumes t b) Plot your data using axes that correspond to t Problem #3 – A tank of water is heated from 50 to 57 °C. (a) Calculate the total energy required to heat the water. (b) Calculate the height that the liquid would have to be lifted to change the total energy by the same amount. Problem #4 – The Matlab script "Kinetics.m" simulates a two-step irreversible chemical reaction where: A --> B --> C Modify the code such that both reactions are reversible. For the reverse rate coefficients, assume k-1 and k-2 are equal to half k1 and k2. Provide the final concentrations of each species and a plot of the solution. [Show More]

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