You diluted 40 ml of a 50% dextrose solution with water to a total volume of 100 ml. What is the concentration of dextrose in the new solution?

To determine the concentration of dextrose in the new solution after dilution, start by calculating the total amount of dextrose present in the original solution before dilution.

In the original 40 ml of a 50% dextrose solution, the concentration means there are 50 grams of dextrose in every 100 ml of solution. Therefore, in 40 ml of the solution:

[

\text{Amount of dextrose} = \left(\frac{50 \text{ g}}{100 \text{ ml}}\right) \times 40 \text{ ml} = 20 \text{ g}

]

After diluting this solution with water to a total volume of 100 ml, the total amount of dextrose remains unchanged at 20 grams, but now it is spread out over a larger volume of solution.

Now, to find the new concentration of dextrose, use the formula for concentration:

[

\text{Concentration} = \left(\frac{\text{Amount of dextrose}}{\text{Total volume of solution}}\right) \times 100

]

Substituting the known values:

[

\text{Concentration} = \left(\