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A chemist dilutes 26.7 mL of 6.55 M sodium chloride to make a 1.69 M solution. What is the final volume of the diluted solution (in mL)? Enter your answer to one decimal place.

Answer :

The final volume of the diluted solution is 160 ml.

To find the final volume of the diluted solution, we can use the formula for dilution:

Dilution is the process of decreasing the concentration of a solute in a solution, usually simply by mixing with more solvent. To dilute a solution means to add more solvent without the addition of more solute.

  • C1 * V1 = C2 * V2

Where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.

We know C1 = 6.55 M, V1 = 26.7 mL, and C2 = 1.69 M, so we can solve for V2:

V2 = [tex]\frac{C1*V1}{C2}[/tex]

V2 =[tex]\frac{6.55 M* 26.7 mL}{1.69}[/tex]

First, we need to convert the volume from mL to L, so we divide by 1000:

=26.7 mL ÷ 1000 mL/L = 0.0267 L

Next, we perform the calculation:

V2 = [tex]\frac{6.55 M *0.0267 L}{1.69 M}[/tex]

V2 = 0.16 L

Finally, we convert the volume from L to mL:

0.16 L × 1000 mL/L = 160.0 mL

Therefore, the final volume of the diluted solution is 160.0 mL (rounded to 1 decimal place).

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