Question

Carbon monoxide reacts with air at 1 atm and 1000 K in an exhaust gas reactor....

Carbon monoxide reacts with air at 1 atm and 1000 K in an exhaust gas reactor. The mole fractions of the exhaust gas-air mixture flowing into the reactor are CO, 3%; O2, 7%; N2, 74%; CO2, 6%; H2O, 10%.

(a) Calculate the concentration of CO and O2 in gram moles per cm3 in the entering mixture.

(b) The rate of reaction is given by

d[CO]/dt = -4.3x1011 x [CO][O2]0.25 exp[-E/(RT)]

[ ] denotes concentration in gram moles per cm3, E/R = 20,000 K. Calculate the initial reaction rate of CO, d[CO]/dt : time is in seconds.

(c) The equilibrium constant Kp for the reaction CO +1/2O2 = CO2 at 1000 K is 10.2. Find the equilibrium CO concentration.

(d) Determine the time to reach equilibrium concentration of CO using the initial reaction rate. (The actual time will be longer but this calculation indicates approximately the time required.)

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