Answer:
To convert a concentration unit based on mass to one based on volume, we need to know the density of the solution. The density gives us the mass of the solution per unit volume. Once we know the density, we can use it to convert between mass-based and volume-based concentration units.
For example, let's say we have a solution that is 20% (w/w) glucose. This means that 20 grams of glucose are dissolved in 100 grams of solution. To convert this to a concentration unit based on volume, we need to know the density of the solution. Let's assume that the density is 1.2 g/mL.
First, we can calculate the mass of the solution:
100 g solution = 20 g glucose + 80 g solvent
Next, we can calculate the volume of the solution:
100 g solution / 1.2 g/mL = 83.33 mL solution
Now we can calculate the concentration of glucose in the solution based on volume:
20 g glucose / 83.33 mL solution = 0.24 g/mL or 24% (w/v) glucose
So the concentration of the solution based on volume is 24% (w/v) glucose.