Final answer:
The medium batch of cleaning solution amounts to 16.5 gallons in total. To chlorinate a 5,000 gallon pool to a level of 3.0 ppm, the mass of chlorine necessary can be calculated in milligrams using the weight of the water in kilograms and the desired concentration in ppm.
Step-by-step explanation:
To answer the student's question about the medium batch of cleaning solution, we need to find out the ratio of water to chemical in the original mixture, which is 234 gallons of water to 114 gallons of chemical. The ratio is 234:114, which simplifies to 2:1 after dividing both numbers by 114. For a medium batch using 11 gallons of water, we'll therefore need half that amount in chemical, which is 5.5 gallons. Adding the water and chemical together gives us 16.5 gallons of the medium batch cleaning solution.
Regarding the chlorine concentration in pool water, if we want to maintain a maximum level of 3.0 ppm in a 5,000 gallon pool that contains 21,200 kg of water, we first convert the volume of the pool to mass. Since 1 gallon of water weighs approximately 8.34 pounds, and 1 pound is equal to 0.453592 kg, we multiply 5,000 by 8.34 to find the weight in pounds and then convert to kilograms. We then calculate the mass of chlorine by multiplying the total mass of the water by 3.0 ppm (or 3.0 mg/kg), since ppm is equivalent to mg/kg for water solutions. The answer is the mass of chlorine in milligrams that must be added to the pool water to obtain the target concentration.