Calculate the concentration in micrograms per liter:
0.001000 N Ca^2+
To calculate the concentration of a solution in micrograms per liter, you need to know the molar mass of the solute and the molarity of the solution.
In this case, you have a 0.001000 N (normality) solution of Ca^2+ ions. To convert from normality to molarity for a monoprotic ion like Ca^2+, you can simply divide the normality by 2 because each mole of Ca^2+ contains 2 equivalents.
So, the molarity (M) of the solution is 0.001000 N / 2 = 0.000500 M.
Next, you need to determine the molar mass of calcium (Ca). The molar mass of calcium is approximately 40.08 grams per mole.
Now, to convert grams to micrograms, you need to multiply by 1,000,000 because there are 1,000 micrograms in a milligram and 1,000 milligrams in a gram.
Finally, to calculate the concentration of Ca^2+ ions in micrograms per liter, you can use the following formula:
Concentration (µg/L) = (Molarity (M) * Molar Mass (g/mol) * 1,000,000) / 1 liter
Plugging in the values:
Concentration (µg/L) = (0.000500 M * 40.08 g/mol * 1,000,000) / 1 L
The concentration of 0.001000 N Ca^2+ is approximately 20,160 micrograms per liter.