If you dilute 50ml of an 8% solution to 500ml, what is the percentage strength of the resulting solution?

To determine the percentage strength of the resulting solution after diluting an 8% solution, we need to calculate the amount of solute present before and after dilution.

The initial solution has a concentration of 8%. This means that in 100 ml of the solution, there are 8 grams of solute. Therefore, in 50 ml of this 8% solution, the amount of solute can be calculated as follows:

[

\text{Amount of solute} = \text{Volume} \times \text{Concentration} = 50 , \text{ml} \times 0.08 = 4 , \text{grams}

]

When you dilute this 50 ml solution to a total of 500 ml, the total amount of solute remains the same (4 grams), but the volume increases. The new concentration is calculated by taking the total amount of solute and dividing it by the new total volume:

[

\text{New concentration} = \frac{\text{Amount of solute}}{\text{Total volume}} = \frac{4 , \text{grams}}{500 , \text{ml}} = 0.008 , \text