How many ml of 25% dextrose are needed to prepare 500ml of 40% dextrose?

To solve the problem of how many milliliters of 25% dextrose are needed to prepare 500 ml of a 40% dextrose solution, we can use the concept of dilution and the formula for concentrations.

The formula for calculating concentrations in mixing solutions is:

(C1)(V1) + (C2)(V2) = (C3)(V3)

Where:

C1 = concentration of the first solution (25%)

V1 = volume of the first solution to be used (unknown)

C2 = concentration of the second solution (0%, since we're assuming we're mixing with diluent to achieve the 40%)

V2 = volume of the second solution (which will also be the volume of the diluent)

C3 = final concentration (40%)

V3 = final volume desired (500 ml)

We can simplify our calculations considering only the solution with a concentration (the first solution) because the diluent does not contribute any dextrose.

We know that we want a final solution of 500 ml at 40% concentration. In this case, since we are combining 25% and achieving a higher concentration, we can focus on determining how much of the 25% solution we need to