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How many milliliters of a 10% sodium chloride solution contain 4 grams of sodium chloride

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Final answer:

To calculate the molarity of the solution, divide the mass of NaCl by its molar mass and the volume of the solution in liters.

Step-by-step explanation:

The solution contains 4.0 g of NaCl per 100 g of solution. Using the formula mass of NaCl (58.44 g/mol) and the density of the solution (1.02 g/mL), we can calculate the molarity:

Molarity (M) = (mass of solute in grams) / (molar mass of solute in g/mol) * (volume of solution in liters)

First, we convert the mass of NaCl to moles:

moles of NaCl = (4.0 g) / (58.44 g/mol) = 0.0685 mol

Then, we convert the volume of the solution to liters:

volume of solution = (4.0 g) / (1.02 g/mL) = 3.92 mL = 0.00392 L

Now, we can calculate the molarity:

Molarity (M) = (0.0685 mol) / (0.00392 L) = 17.5 M

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