Concept explainers
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
Interpretation:
The volume of a chlorine solution added to a for a given amount of water in the swimming pool is to be calculated.
Concept introduction:
Dimensional analysis is a way to convert units of measurement. In order to convert one unit to another, the relationship between those units is to be predicted. These relationships are called conversion factors. Dimensional analysis is used to set up and solve a unit conversion problem using conversion factors.
The conversion factor is a fraction obtained from a relationship between the units. It is written as a ratio and can be inverted to give two conversion factors.
Answer to Problem 110AP
Solution:
Explanation of Solution
Given information: The mass percent of chlorine in solution is
The water in the swimming pool is
The density of liquids is
The accepted concentration of chlorine is 1 ppm.
The volume of water in the pool is
The density of liquids is 1.0 g/mL.
The conversion factors are as follows:
Multiply
Volume =
The volume of water in gallons is as follows:
Multiply the calculated volume of water in the pool with conversion factor
The mass of water is as follows:
The accepted concentration of chlorine to be added to the pool is 1 ppm or1 g chlorine per million grams of water.
It can be expressed as follows:
The conversion factor to obtain the mass of chlorine to be added in a given amount of water is
Multiply
The mass of chlorine added is as follows:
Mass percent of chlorine in the chlorine solution is 6.0 percent or 6.0 g Cl in 100 g H
The volume of chlorine to be added in the pool is as follows:
The volume of chlorine is rounded-off to two significant figures that is
The volume of the chlorine solution to be added to a swimming pool is
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Chapter 1 Solutions
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