Answer :

The molarity of sodium hydroxide solution is 0.22M when neutralization is done between 25.0 mL sodium hydroxide solution  and  16.7 mL of 0.333 M hydrogen chloride solution.

What is titration?

Titration is a technique by which we know the concentration of unknown solution using titration of this solution with solution whose concentration is known. To know the end point we use phenolphthalein as indicator. End point is a point where completion of reaction happen.

Mathematically,

moles or sodium hydroxide =moles of hydrogen chloride

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

[tex]M_1[/tex]= molarity of NaOH solution=?

[tex]M_2[/tex]=molarity of HCL solution= 0.333 M

[tex]V_1[/tex]= volume of NaOH solution=25.0 mL

[tex]V_2[/tex]= volume of HCl= 16.7 mL

Substituting all values

=( 0.333 M×16.7 mL)÷25.0 mL

=0.22M

Therefore, the molarity of HCl is 0.22M.

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