The fifth standard solution to be made and analyzed consiss of 10 mL of the 10ppm Fe3+ stock solution along with a total of 5 mL from the other solutions. What is the concentration of this diluted solution?

10 ppm x (10 mL/15 mL) = ??

Does the 15mL in the equation you gave me represent the total volume?

yes. The original solution is diluted from 10 mL to 15 mL.

To find the concentration of the diluted solution, we need to consider the total volume and the concentration of the initial and added solutions.

Given:
Volume of the initial solution (Fe3+ stock solution): 10 mL
Concentration of the initial solution (Fe3+ stock solution): 10 ppm (parts per million)
Volume of the added solutions: 5 mL

To find the concentration of the diluted solution, we'll use the formula:

C1V1 = C2V2

Where:
C1 = concentration of the initial solution
V1 = volume of the initial solution
C2 = concentration of the diluted solution (what we want to find)
V2 = volume of the diluted solution (which is the sum of the initial and added solutions)

Let's calculate the concentration of the diluted solution using the provided information:

C1 = 10 ppm
V1 = 10 mL
V2 = V1 + added volume = 10 mL + 5 mL = 15 mL

Plugging the values into the formula:

10 ppm * 10 mL = C2 * 15 mL

Now let's solve for C2 (concentration of the diluted solution):

100 ppm mL = C2 * 15 mL

C2 = (100 ppm mL) / 15 mL

C2 = 6.67 ppm

Therefore, the concentration of the diluted solution is 6.67 ppm.