Final answer:
To discover how many gallons of water remain in the pool, subtract the total amount of water that splashed out from the initial volume. For a 5,000-gallon pool with 21,200 kg of water to achieve a chlorine concentration of 3.0 ppm, you would need to add 63.6 grams of chlorine.
Step-by-step explanation:
The student's question is about finding the remaining volume of water in a pool after two amounts have splashed out. To find out how many gallons are left in the wading pool, you should subtract the total number of gallons that splashed out when both Chris and Scott jumped in from the original amount in the pool.
Now, using the provided reference information, to chlorinate a pool to the required concentration, we use the formula for concentration: concentration = mass of solute / volume of solution. In the case of a 5,000-gallon pool, you need to reach a concentration of 3.0 ppm (parts per million). If the pool contains 21,200 kg of water, the mass of chlorine needed can be calculated by:
- Converting ppm to mg/kg: 3.0 ppm equals 3.0 mg of solute per kg of water
- Multiplying the concentration (3.0 mg/kg) by the total mass of water in the pool (21,200 kg): 3.0 mg/kg x 21,200 kg = 63,600 mg, which is 63.6 g of chlorine.
Therefore, to obtain a chlorine concentration of 3.0 ppm in a 5,000-gallon pool, you would need to add 63.6 grams of chlorine.