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 constant, k =
0.005 min–1.
...
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 constant, 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.
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