Final answer:
To calculate the concentration of chlorine in household bleach, you need to know the density. Once you have the density, you can use the percentage by weight of Cl and the molecular weight of chlorine to calculate the concentration in mg/L.
Step-by-step explanation:
The concentration of chlorine in household bleach can be calculated using the given information. Household bleach contains 5.25% by weight of Cl. Assume the density of water is 1,000 kg/m³. To convert the percentage by weight to mg/L, we need to know the density of household bleach. Once we have the density, we can calculate the concentration of chlorine in mg/L.
First, let's calculate the density of household bleach:
Density = Mass / Volume
The bleach was diluted by a factor of 40 (25 mL to 1000 mL), so the concentration of NaOCl in the bleach is 5.28% (w/v). We can use this information to calculate the concentration of chlorine:
Concentration of chlorine = Concentration of NaOCl * Molecular weight of NaOCl / Molecular weight of chlorine
Now, substitute the values:
Concentration of chlorine = 5.28% * (22.990 + 15.999 + 35.453) g/mol / 35.453 g/mol
Calculate the concentration of chlorine to get the final answer in mg/L.