A 6.00 % (m/v) NaCl solution contains 37.5 g of NaCl. What is the total volume (V) of the solution in milliliters?

We make a 6.00 % (m/v) NaCl solution by dissolving 37.5 grams NaCl in 625mL.

Explanation:

Step 1: Data given

Mass / volume % of a NaCl solution = 6.00 % (m/V)

Mass of NaCl in this solution = 37.5 grams

Step 2: Calculate the volume

Since 1.00 % (m/V) = 1.00 gram NaCl / 100 mL

A 6.00 % (m/V) = 6.00 grams NaCl / 100 mL

But since the total mass NaCl = 37.5 grams, this means to have the same mass % (6.00 %) we have to increase the volume

37.5 / 6 = 6.25

We have to multiply the total volume of 100 mL by 6.25

100 mL * 6.25 = 625 mL

We make a 6.00 % (m/v) NaCl solution by dissolving 37.5 grams NaCl in 625mL.

Total volume is 625 mL

Explanation:

We use the 6 % (m/v) data which is a sort of concentration. This percent means that the solution has 6 g of solute in 100 mL of solution

So we make a rule of three:

6 g of solute (NaCl) are in 100 mL of solution

Therefore, 37.5 g are in (37.5.100) / 6 = 625 mL