Answer :
Final answer:
To prepare a 3.23 M sodium hydroxide solution by diluting a 6.00 M solution, 99.9 mL of the concentrated solution must be diluted to a final volume of 185.6 mL. Therefore, the correct option is E.
Explanation:
To find the volume of a concentrated sodium hydroxide solution that must be diluted to make a specific concentration, we can use the dilution equation C1V1 = C2V2, where C1 and C2 are the concentrations of the solutions before and after dilution, and V1 and V2 are the corresponding volumes.
Using the provided information:
- Initial concentration (C1) = 6.00 M (concentrated solution)
- Final concentration (C2) = 3.23 M (diluted solution)
- Final volume (V2) = 185.6 mL
Substituting these values into the equation:
C1V1 = C2V2
V1 = (C2V2) / C1
V1 = (3.23 M imes 185.6 mL) / 6.00 M
V1 = 99.85 mL
Therefore, 99.9 mL of the concentrated sodium hydroxide solution must be diluted to make a 3.23 M solution of sodium hydroxide when rounded to three significant figures.
