Glucose is a biodegradable substance that can be converted to carbon dioxide and

Question

Glucose is a biodegradable substance that can be converted to carbon dioxide and water by heterotrophic microorganisms. A batch bioreactor experiment was performed to test the degradation of glucose in a wastewater stream from a food processing facility. The degradation results are tabulated below. Use these data to determine the reaction rate constant assuming that the biodegradation of glucose follows first order kinetics. Use the rate constant obtained in a) to calculate the volume of a continues mixed flow (CMF) reactor required to achieve 95% glucose reduction if the wastewater contains 100 mg/L of glucose and the flow rate of the wastewater is 120 L/hr.

Explanation / Answer

reaction is first order,

the equation is ln (CA/CA0)=-kt

ln(155/180)=-k*5 min

k=0.029 1/min

2)

-ln(95/180)=k*12

k=0.053 1/min

3)-ln(68/180)=k*22

k=0.044 1/min

4)-ln(42/180)=-k*31

k=0.046 1/min

-ln(26/180)=-k*40

k=0.048 1/min

Average value of k=(0.048+0.046+0.044+0.053 +0.029)/5 =0.044 1/min

b)CA0*X*v0=kCA0*(1-x)*v

V0 vOLUMETRIC FLOW RATE =120 L/hr=2 L/min

v is the volum e of the reactor

X/(1-X)*2 L/min=0.044*v 1/min=((0.95/0.05 )*2)/0.044 =V

V=863.63 L

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