An aqueous solution of hydrochloric acid is standardized by titration with a 0.143 M solution of potassium hydroxide. If 20.5 mL of base are required to neutralize 27.6 mL of the acid, what is the molarity of the hydrochloric acid solution?

Respuesta :

Answer: Molarity of the given hydrochloric acid solution is 0.106 M.

Explanation:

Given: [tex]M_{1}[/tex] = 0.143 M,     [tex]V_{1} = 20.5 mL[/tex]

           [tex]M_{2}[/tex] = ? ,        [tex]V_{2} = 27.6mL[/tex]

Hence, molarity of the given hydrochloric acid solution is as follows.

[tex]M_{1}V_{1} = M_{2}V_{2}[/tex]

[tex]0.143 M \times 20.5 mL = M_{2} \times 27.6 mL[/tex]

[tex]M_{2} = \frac{0.143M \times 20.5 mL}{27.6 mL}[/tex]

      = 0.106 M

Therefore, molarity of the given hydrochloric acid solution is 0.106 M.