A solution is prepared by dissolving 99.3 g of NaCl in water. If the solution has a final volume of 1,877.9 mL, what is the mass percentage of NaCl in this solution?

Express your answer as a mass per volume percentage (out of 100%), but do not include the percent symbol in your answer. Express your answer to at least three significant figures.

To calculate the mass percentage of NaCl in the solution, divide the mass of NaCl by the mass of the solution and multiply by 100%. The mass percentage of NaCl in this solution is 5.28%.

Explanation:

To calculate the mass percentage of NaCl in the solution, we need to divide the mass of NaCl by the mass of the solution and then multiply by 100%.

First, we need to find the mass of the solution. We know that the final volume of the solution is 1,877.9 mL, but we need to convert this to grams since the mass of NaCl is given in grams. Since the density of water is 1 g/mL, the mass of the solution is 1,877.9 g.

Next, we can calculate the mass percentage of NaCl. Divide the mass of NaCl (99.3 g) by the mass of the solution (1,877.9 g) and multiply by 100% to get the mass percentage.

Mass percentage of NaCl = (99.3 g / 1,877.9 g) * 100% = 5.28%

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