What is the molarity of an acetic acid solution if 25.0 mL of 0.212 M NaOH solution is required to neutralize 16.5 mL of the HC2H3O2 solution?

HC2H3O2(aq) + NaOH(aq) → H2O(l) + NaC2H3O2(aq)

Respuesta :

The molarity of an acetic acid solution : 0.321 M

Further explanation  

Titration is a procedure for determining the concentration of a solution by reacting with another solution that is known to be concentrated (usually a standard solution). Determination of the endpoint/equivalence point of the reaction can use indicators according to the appropriate pH range  

Reaction

HC₂H₃O₂(aq) + NaOH(aq) → H₂O(l) + NaC₂H₃O₂(aq)

Molarity NaOh=0.212

volume NaOH=25 ml=0.025 L

mol NaOH =

[tex]\tt mol=M\times V\\\\mol=0.212\times 0.025\\\\mol=0.0053[/tex]

mol ratio NaOH :  HC₂H₃O₂ from the equation = 1 : 1, so mol HC₂H₃O₂ :

[tex]\tt \dfrac{1}{1}\times 0.0053=0.0053[/tex]

The molarity of acetic acid HC₂H₃O₂ :

[tex]\tt molarity(M)=\dfrac{n}{V}\\\\M=\dfrac{0.0053}{0.0165}\\\\M=0.321[/tex]

Or you can use titration formula :

[tex]\tt M_1V_1n_1=M_2V_2n_2(n=acid/base~valence, for NaOH~and~Acetic~acid=1)\\\\0.212\times 25\times 1=M_2\times 16.5\times 1\\\\M_2=\dfrac{0.212\times 25\times 1}{16.5\times 1}\\\\M_2=0.321[/tex]

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