Answer:
It would be required 16.6 hours in the bioreactor for reduce the TCA concentration from 1 mg/L to 1 µg/L in the effluent.
Explanation:
A zero order reaction is a chemical reaction in which the rate of reaction is constant and independent of the concentration of the reacting substances, as is assumed in this problem with the biodegradation rate for TCA:
Zero order reaction formula:
[tex][A] =[A]_{0} - kt[/tex]
Where
[tex][A][/tex] and [tex][A]_{0}[/tex] are TCA concentrations, 1 µg/L and 1 mg/L respectively.
t = time of reaction
k is a constant, in this case is the rate for TCA removal = 1 µg/Lmin
1 mg/l = 1000µg/L
[tex][A] =[A]_{0} - kt[/tex]
Replacing
[tex]1 microgr/L = 1.000 microgr/L - (1microgr/Lmin*t)[/tex]
[tex]\frac{-999 microgr/L}{-1microgr/Lmin} =t[/tex]
[tex]t= 999min X 1hr/ 60 min = 16,6 hrs[/tex]
