Given: A contaminant is spilled into a river upstream of a residential area. The

Question

Given: A contaminant is spilled into a river upstream of a residential area. The residential area is located 12 km downstream of the spill and the river flows at a velocity of 1.5 m s-1. The concentration in the river at the location of the spill is 10 mg L-1, and the concentration when the spill reaches the residential area is 1 mg L-1. Find: (a) How long (in hours) does it take the contaminant to travel from the source of the spill to the residential area ? (b) Assuming that the contaminant is removed by a first order reaction, what is the reaction rate in hr-1 ?

Explanation / Answer

a) it takes 12000 / 1.5 = 8000 secs to reach the residential area.

b) 10 = 2^(8000/t )

( ln( 2 ) / ln( 10 ) ) * 8000 = t

t = 2408.24secs

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