CIVL 456: Wastewater Treatment
Homework #5- Fall 1996
Due Date: 4 October 1996
Part 1
Estimate the daily sludge production at the local WWTP (West Lafayette)
in terms of both primary and secondary sludge. Your answers should
include both a wet volume (daily)...in gallons of primary and secondary
sludge per day...as well as dry mass (lbs) per day for each such source.
Part 2
Suppose that you are growing a special culture
of nitrifying bacteria (i.e., notoriously slow growing
lithotrophs) and that you conduct a series of
chemostat tests (reactor volume = 17 liters; influent
substrate concentration of 955 mg ammonia-nitrogen per liter)
in order to evaluate their relative
maximal specific growth rate and half-reaction constant.
Seven such tests were conducted at seven different HRT's...and in
each case, the effluent substrate concentration (i.e., ammonia-nitrogen)
was measured once the reactor reached steady-state conditions (NOTE:
after
making each change in the chemostat's HRT you waited a minimum of 3 weeks
in order for the tank to reach its new point of equilibrium). These
results are as follows:
Test #1-HRT=0.90 days-S=26.0 mg/L
Test #2-HRT=1.00 days-S=11.6 mg/L
Test #3-HRT=2.00 days-S=2.61 mg/L
Test #4-HRT=4.00 days-S=0.66 mg/L
Test #5-HRT=8.00 days-S=0.29 mg/L
Test #6-HRT=16.0 days-S=0.14 mg/L
Test #7-HRT=0.84 days-S=955 mg/L
Washout was obviously achieved in Test #7, since the effluent
ammonia-nitrogen value during this run was equal to the influent
ammonia-nitrogen value (i.e., there was no substrate utilization
taking place because all of the cells had been washed out of
the chemostat with such a short HRT.
Using this data and the Lineweaver-Burke
modeling approach, determine the apparent values for the maximum
specific cell growth rate and half-reaction constant.
In addition to calculating these two values, determine the
likely cell concentration which might be found within this
chemostat's effluent for sixth (6th) test run at the HRT of
16 days...assuming that these bacteria have a theoretical
yield of 0.05, and neglecting any cell decay or death.