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The decay of chlorine in a water distribution system follows first-order decay with a rate constant...

The decay of chlorine in a water distribution system follows first-order decay with a rate constant of 0.4 d-1. If the concentration of chlorine in a well-mixed water storage tank is 2.0 mg/L at time zero, what will the concentration be at the end of two days? Assume no water flows out of the tank.

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Answer #1

Concentration of chlorine at any time is given by

where

C0 = initial concentration = 2 mg/L

k = decay constant = 0.4 per day

t = time in days = 2

Therefore

C = 2e-0.4×2

= 0.8986 mg/L

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