Final answer:
To achieve a chlorine concentration of 3.0 ppm in a 5,000-gallon pool, you need to add 63.6 grams of chlorine to the water.
Step-by-step explanation:
To calculate the mass of chlorine needed to achieve a concentration of 3.0 ppm in a pool, we must first understand what ppm (parts per million) means in this context. One ppm is equivalent to 1 milligram of a substance in 1 liter of water. Therefore, to chlorinate a 5,000-gallon pool, which is approximately 21,200 kilograms of water, to 3.0 ppm chlorine concentration, the calculation would be as follows:
Chlorine needed = Water volume in kilograms (kg) × Desired concentration in ppm (mg/kg)
Chlorine needed = 21,200 kg × 3.0 mg/kg
Now, simply multiply the two numbers to get the mass of chlorine needed:
Chlorine needed = 63,600 mg, or 63.6 g
Thus, to reach a concentration of 3.0 ppm in a 5,000-gallon pool, you would need to add 63.6 grams of chlorine.