Please show all your work all steps thank you Biodegradation

Please show all your work, all steps, thank you!

Biodegradation of an industrial wastewater follows first order kinetics with a degradation rate of 0.25 d^-1 at 20 degree C. The ultimate BOD_U concentration is 3500 mg/L, and TCOD/BOD_5 is 1.75. The VSS/TSS ratio is 0.7 The SCOD concentration is 3000 mg/L. Compute theoretical fixed suspended solids (FSS) and particulate COD (p_CoD) concentrations for the wastewater sample.

Solution

Ultimate BODu concentration = 3500mg/L

Total COD TCOD concentration = 1.75 x BOD5 = 1.7x 3500 =5950 mg/L

BOD5 = 0.77BODu

SCOD = 3000 mg/L

VSS = 0.7 TSS

tCOD = sCOD + pCOD

pCOD = 5950 – 3000 = 2950 mg/L

Degradation rate Kd = 0.25

Total suspended solid TSS= Kd x tCOD = 0.25 x 5950 =1487.5 mg/L

VSS = 0.7 x 1487.5 = 1041.25 mg/L

FSS = TSS-VSS = 1487.5 – 1.041.25 = 446.25 mg/L