Final answer:
The calculation yields 6.316 moles of NaCl. To find the moles of NaCl in 4 liters of a 1.579 M solution, multiply the molarity by the volume to get 6.316 moles of NaCl, ensuring to use four significant figures.
Step-by-step explanation:
To calculate the number of moles of NaCl in a solution, we use the molarity of the solution, which is given in units of moles per liter (mol/L).
Molarity (M) is defined as the number of moles of solute (NaCl in this case) divided by the volume of the solution in liters.
The molarity of the NaCl solution is 1.579 M, therefore, one liter of this solution contains 1.579 moles of NaCl.
To find the total number of moles in 4 liters of this solution, we simply multiply the molarity by the volume in liters:
Number of moles = Molarity (M) × Volume (L)
= 1.579 mol/L × 4 L
= 6.316 moles of NaCl
It's important to use the correct number of significant figures, which in this case is four, as indicated by the molarity given.