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In: Advanced Math

A liquid culture of infectious bacteria was accidentally dumped into a river 900 m upstream of...

A liquid culture of infectious bacteria was accidentally dumped into a river 900 m upstream of the intake pipe for the municipal water plant; 10^(11) organisms are introduced into the river which has a cross-section of 0.6 m^2 .

(a) If the river velocity is 40 cm/s and the longitudinal dispersion coefficient is 0.1 m^2 /s, what is the maximum concentration expected at the plant?

(b) How spread out (in the direction of flow) is the cloud of organisms at the time the peak concentration occurs at the intake pipe? The “spread” can be described by the standard deviation (σ) on either side of the peak.

(c) How does the answer to (a) change if the organisms have a half-life of 10 hours in the river?

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Expert Solution

Thank you.

Colby Messinger answered 2 years ago
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