Understanding Percent by Mass
Percent by mass is a way to express the concentration of a solution. It tells you the mass of the solute (in this case, NaCl) present in 100 grams of the solution.
Calculating the Mass of Solution
We know that 0.058% by mass means there are 0.058 grams of NaCl in 100 grams of solution.
To find out how much solution contains 1.5 grams of NaCl, we can set up a proportion:
```
0.058 g NaCl / 100 g solution = 1.5 g NaCl / x g solution
```
Solving for x (the mass of the solution):
```
x = (1.5 g NaCl * 100 g solution) / 0.058 g NaCl
x ≈ 2586.21 g solution
```
Therefore, you need approximately 2586.21 grams of the NaCl solution to contain 1.5 grams of NaCl.