Final answer:
To chlorinate a 5,000-gallon pool to a concentration of 3.0 ppm, you multiply the volume of water (in kg) by the desired ppm concentration and then divide by 1,000,000 to convert to the appropriate units. The calculation would give you the mass of chlorine to add.
Step-by-step explanation:
The question revolves around how much chlorine (measured in parts-per-million, or ppm) needs to be added to a potable water system upon discovering a cross-connection. The desired concentration of chlorine is specified at a maximum of 3.0 ppm for pools, which we can use to calculate the mass required for a typical pool size.
To calculate the mass of chlorine needed for a 5,000-gallon pool containing 21,200 kg of water to reach a concentration of 3.0 ppm, we use the formula:
Mass of Chlorine = Volume of Water (in kg) × Desired Concentration (in ppm) × (1/1,000,000)
In this case:
Mass of Chlorine = 21,200 kg × 3.0 ppm × (1/1,000,000)
This calculation results in the mass of chlorine required to sanitize the water effectively.