A dilute solution of sodium chloride was prepared with a concentration of 50.0 ppm. Convert this concentration to a molar concentration in mol dm−3.

Sure, here are the steps to convert the concentration from ppm to mol/dm^3:

1. First, we need to understand what ppm (parts per million) means. It is a way of expressing very dilute concentrations of substances. 1 ppm is equivalent to 1 milligram of something per liter (mg/L).

2. So, 50.0 ppm of sodium chloride (NaCl) is equivalent to 50.0 mg/L.

3. Next, we need to convert the mass in milligrams to grams because the molar mass of NaCl is usually given in grams per mole (g/mol). So, 50.0 mg is equal to 0.050 g.

4. Now, we need to calculate the number of moles of NaCl. The molar mass of NaCl is approximately 58.44 g/mol. So, the number of moles of NaCl is 0.050 g / 58.44 g/mol = 0.000856 mol.

5. Finally, we need to convert the volume from liters to decimeters cubed (dm^3) because the molar concentration is usually given in mol/dm^3. 1 L is equal to 1 dm^3. So, the molar concentration of NaCl is 0.000856 mol / 1 dm^3 = 0.000856 mol/dm^3.