Final answer:
To prepare a 100 PPM chlorine-based sanitizing solution, a concentrated chlorine source is diluted to the desired concentration. For sanitizing a pool with a concentration of 3 PPM, the mass of chlorine required is calculated using the volume of the pool and the desired PPM. Safety precautions must be taken when handling chlorine.
Step-by-step explanation:
A 100 PPM chlorine-based sanitizing solution is typically prepared by diluting a concentrated chlorine source to the desired concentration. To prepare such a solution for a specific volume of water, one must calculate the necessary amount of chlorine compound needed to achieve 100 parts per million (PPM). For example, for disinfecting water, a chlorine solution is often required, and the concentration needed depends on the application. Common household bleach, which contains sodium hypochlorite, can be diluted with water to achieve the required PPM.
In the context of sanitizing a pool, the student's question relates to calculating the mass of chlorine required to achieve a concentration of 3 PPM in a 5,000-gallon pool. Since there are approximately 21,200 kg of water in such a pool, one would need to add a specific amount of chlorine to reach the intended concentration. This involves a simple calculation using the formula:
C1 = (m1/V) * 1,000,000
where C1 is the desired concentration in PPM, m1 is the mass of chlorine in grams, and V is the volume of water in liters.
To find the mass of chlorine (m1), rearrange the formula to:
m1 = (C1 * V) / 1,000,000
After plugging in the desired concentration and the volume of the pool converted to liters, one can calculate the mass of chlorine needed. Remember to use appropriate safety measures and accurate measuring tools when handling and adding chlorine to pool water. Chlorine is a powerful sanitizing agent that must be used carefully to maintain safe levels for swimmers.