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Answer: Chlorine is used to disinfect swimming pools. The

Chapter 1, Problem 90P

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QUESTION:

Chlorine is used to disinfect swimming pools. The accepted concentration for this purpose is 1 ppm chlorine, or 1 g of chlorine per million grams of water. Calculate the volume of a chlorine solution (in milliliters) a homeowner should add to her swimming pool if the solution contains 6.0 percent chlorine by mass and there are \(2.0 \times 10^{4}\) gallons of water in the pool. (1 gallon = 3.79 L; density of liquids = 1.0 g/mL.)

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QUESTION:

Chlorine is used to disinfect swimming pools. The accepted concentration for this purpose is 1 ppm chlorine, or 1 g of chlorine per million grams of water. Calculate the volume of a chlorine solution (in milliliters) a homeowner should add to her swimming pool if the solution contains 6.0 percent chlorine by mass and there are \(2.0 \times 10^{4}\) gallons of water in the pool. (1 gallon = 3.79 L; density of liquids = 1.0 g/mL.)

ANSWER:

Step 1 of 4

Here, we are asked to calculate the volume of a chlorine solution (in milliliters) in the given scenario.

Given:

Here, the concentration of chlorine is 1 ppm/1 g of chlorine per million grams of water

Mass of chlorine = 6.0 %

The volume of water \(=2.0\times10^4\text{ gallons }\)

1 gallon =  3.79 L

The density of liquids = 1.0 g/mL

The volume of a solution(in ml) = ?

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