Environmental Engineering Reference
In-Depth Information
Lead vs pH
0.35
0.3
0.25
0.2
y = 0.003x 2 - 0.0643x + 0.3622
R 2 = 0.9247
0.15
0.1
0.05
0
0
2
4
6
8
10
12
14
pH
Fig. 11.1 Lead versus pH with fitted functional form (according to the data from U-MATE
International)
Fig. 11.2 Schock
s( 1989 ) analysis of lead versus alkalinity is similar to the functional form
observed in U-MATE data (the thermodynamic data used is from Schock and Wagner ( 1985 )
'
orders is not very meaningful; also we did not want to over
t the dataset that was
quite small. Estimated
fitted values (not shown) for lead for higher polynomial
orders were sometimes negative, and therefore the
fitted higher order polynomial
functions were not practically useful.
We then took each of the pH values for Ottawa and obtained the
'
or lead values according to the quadratic equation. We did the same for the average
pH of the rest of Ontario data. The associated lead value for each pH value of the
Ottawa data would then be increased by the percentage difference between y-values
for Ottawa and the y-value for Ontario. In this way, we could obtain Ottawa lead
values with a pH of 7.4. For instance, from Fig. 11.3 , if we take Ottawa pH of 9.57
and use the
tted
'
y-values
fitted quadratic functional form, we can estimate the lead value if its pH
was 7.4 (the Ontario average).
Figures 11.4 , 11.5 , 11.6 and 11.7 show the results of the estimation process of
Sect. 11.3.2 . The Ottawa data are also grouped into Spring 2007, Summer pre
water-main rehab 2007, and Summer post water-main rehab 2007. This is for the
first liter only with a stagnation time of 6 h.
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