Final answer:
To calculate the volume of a 0.662 M sodium chloride solution containing 75.0 g of NaCl, divide the moles of NaCl (1.283 mol) by the molarity (0.662 M) to find that the volume of the solution is 1.938 liters.
Step-by-step explanation:
Calculate the Volume of a Sodium Chloride Solution
To calculate the volume in liters of a 0.662 M sodium chloride solution that contains 75.0 g of sodium chloride (NaCl), you must use the formula for molarity (M), which is moles of solute per liters of solution (mol/L). First, you need to find the number of moles of NaCl in 75.0 g. Using the molar mass of NaCl, which is 58.44 g/mol, the number of moles of NaCl is:
moles NaCl = 75.0 g ÷ 58.44 g/mol = 1.283 mol
Now, you have the molarity (M) and the moles of NaCl. Use the definition of molarity to find the volume:
volume = moles NaCl ÷ M = 1.283 mol ÷ 0.662 M
The volume of the sodium chloride solution is 1.938 liters.
When preparing solutions, it is important to remember that the mass of solute and the volume of the solvent combined will give the total volume of the solution.