A swimming pool is to be treated with an algaecide. To be effective, the algaeci
ID: 1026617 • Letter: A
Question
A swimming pool is to be treated with an algaecide. To be effective, the algaecide has to remain at a concentration of 10 mg/L or higher for at least 10 hours. However, humans can only be safely exposed to concentrations below 5 mg/L.
The pool volume is 5000 m3, the pH = 7.8, and temperature = 25 oC. The algaecide only experiences base-catalyzed hydrolysis; laboratory studies found its kh is 5.4 x 10-7 s-1 at a pH = 7.0 and 25 oC. The active ingredient in the algaecide has a molecular weight of 136.95 g/mole.
What is the minimum amount for a one-time, initial dose of the algaecide?
Plot the change in the algaecide concentration as a function of time at a pH = 7.8
How long after the initial dosage can people swim in the pool?
Explanation / Answer
And. To maintain 10 mg/L of initial concentration of algeacide it is equivalent to 10 mg in one litre of pool water. For 5000 metre of pool water that is equivalent to 5000*1000 L of pool water = 5000000 *10 mg of algeacide = 50000000 mg = 50000 g = 50 Kg . For keeping concentration above 10 mg/L for initial 10 hour add another 25 kg . so total 75 kg algaecide will be required.
Answer to part 2. This is first order kinetics or decay. This is exponential decay .
Answer to part 3. For initial concentration of 10 mg/L to 5 mg/L ev that is half of its initial concentration the will be after =0.6932*10power 7/54000 = 14.85 days
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