Answer: There are 0.558 liters of the stock solution would she need to have 97.9 grams NaCl.
Step-by-step explanation:
Given: Molarity = 3.0 M
Mass of NaCl = 97.9 g
Molar mass of NaCl = 58.44 g/mol
As number of moles is the mass of substance divided by its molar mass.
So, moles of NaCl are calculated as follows.
![Moles = (mass)/(molar mass)\\= (97.9 g)/(58.44 g/mol)\\= 1.675 mol](https://img.qammunity.org/2022/formulas/chemistry/college/lufgdr0kltg4reuwrzju6ttimayhs95d6z.png)
Molarity is the number of moles of a substance present in liter of a solution.
Therefore, volume of given solution is calculated as follows.
![Molarity = (moles)/(Volume (in L))\\3.0 M = (1.675 mol)/(Volume)\\Volume = 0.558 L](https://img.qammunity.org/2022/formulas/chemistry/college/hnxud6ql0wiwkahtuoissq5135zoytfp7e.png)
Thus, we can conclude that there are 0.558 liters of the stock solution would she need to have 97.9 grams NaCl.