2. Batch reactor: A mixed batch reactor is filled with a uniform suspension of a
ID: 496659 • Letter: 2
Question
2. Batch reactor:
A mixed batch reactor is filled with a uniform suspension of aerosol particles that decay and settle out of the air in the reactor due to gravity. If the first order rate constant due to settling is 0.5 h1 , what is:
(a) equation describing change in particle concentration (#/cm3 ) over time;
2. Batch reactor. (20 pts.) A mixed batch reactor is filled with a uniform suspension of aerosol particles that decay and settle out of the air in the reactor due to gravity. If the first order rate constant due to set- tling is 0.5 h 1, what is (a) equation describing change in particle concentration (H/cms) over time (b) the halftime of particles in the chamber, (c) and the fraction of particles remaining after 3 hours?Explanation / Answer
1st order equation is described by
Ct/Co= exp(-Kt)
where K= Rate constant and t = time
Ct= concentration of aersol particles at any time
Co= Concentration of aerosol particles at t=0
half life is the time required for the concentration to drop to 50% of the initial value. Accordingly
half life= 0.693/K, K is rate constant =0.693/0.5= 1.386 hr
after three hours Ct/Co= exp(-1.386*3)= fraction of particles remaining =0.0156
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