In order to construct a Beer's law plot in this experiment, a stock solution of dye must be diluted to multiple different concentrations. Calculate the concentration, in M, of dye when 5.73 mL of 0.443 M Allura Red dye is diluted with 20.26 mL of distilled water. Assume simple dilution only. Note: Do not use scientific notation or units in your response. Sig figs will not be graded in this question, enter your response to four decimal places. Carmen may add or remove digits from your response, your submission will still be graded correctly if this happens.

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Answer:

0.0977M is the concentration of the final solution

Explanation:

In a dilution process, to the original solution (Stock solution) you add more solvent in order to decrease its original concentration. To know how many times the solution was diluted you must find the dilution factor (Ratio between the initial and final volume). That is:

Intial Volume: 5.73mL

Final volume: 5.73mL + 20.26mL = 25.99mL

Dilution factor: 25.99mL / 5.73mL = 4.536 → 4.536 times the solution is diluted. The concentration of the diluted solution is:

0.443M / 4.536 =

0.0977M is the concentration of the final solution

The concentration of the solution is 0.099 M.

We have to use the dilution formula here;

C1V1 = C2V2

Where;

C1 = initial concentration

C2 = final concentration

V1 = initial volume

V2 = final volume

Now;

C2 = C1V1/V2

C2 =0.443 M × 5.73 mL / (5.73 mL  + 20.26 mL)

C2 = 0.099 M

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