A 4.00 g mass of NaOH is dissolved in 5.00 mL of water. A 4.00-mL aliquot of this solution is then diluted to exactly 500 mL of solution using distilled water. What is molar concentration of NaOH in the final diluted solution?

The molar concentration of NaOH in the final diluted solution is 0.056 M

Explanation:

To calculate the molarity of solution, we use the equation:

Given mass of NaOH = 4.00 g

Molar mass of NaOH = 40 g/mol

Volume of solution = 5.00 mL

Putting values in above equation, we get:

To calculate the molarity of the diluted solution, we use the equation:

where,

are the molarity and volume of the concentrated NaOH solution

are the molarity and volume of diluted NaOH solution

We are given:

Putting values in above equation, we get:

Hence, the molar concentration of NaOH in the final diluted solution is 0.056 M

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