What volume of 15% sodium chloride solution is required to obtain 30 g of sodium chloride?

To determine the correct volume of a 15% sodium chloride solution required to obtain 30 g of sodium chloride, we can start by understanding what a 15% solution means. A 15% sodium chloride solution indicates that there are 15 grams of sodium chloride in every 100 mL of solution.

To find out how many milliliters are needed for 30 grams of sodium chloride, we can set up a proportion based on the percentage concentration:

1. We know that 15 g of sodium chloride is contained in 100 mL of solution.

2. We want to find the volume (V) that contains 30 g of sodium chloride.

We can set this up as:

[ \text{(Volume of solution in mL)} = \frac{\text{Desired mass of sodium chloride (g)}}{\text{Concentration (g/mL)}} ]

Here, the concentration (in g/mL) can be derived from the 15% solution:

[

15 \text{ g} = 100 \text{ mL} \implies \frac{15 \text{ g}}{100 \text{ mL}} = 0.15 \text{ g/mL}

]