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Solution and answer to problem

How many mL of 0.20 M HBr is needed to neutralize 23.45 mL of 0.11 M KOH? What is the balanced equation for the reaction between the two solutions?

hydrobromic acid

potassium hydroxide

---->

potassium bromide

water

HBr(aq)

+ KOH(aq) -

---->

KBr(aq)

+ H2O(l)

In titration reactions the mols of H+ must equal the mols of OH- for a neutral solution. For monoprotic acids and monohydroxide bases we can use the equation

MaVa = MbVb

here the terms are defined as follows

Ma is the molarity of the acid

Mb is the molarity of the base

Va is the volume of the acid

Vb is the volume of the base

organize data

Ma = 0.20 M HBr ;

Mb = 0.11 M KOH;

Va = 23.45 mL = 0.02345 L

Vb = unknown = X

substitute values

MaVa = MbVb

(0.20 M HBr )( 0.02345 L ) = ( 0.11 M KOH )( X )

solve for volume of the base Vb = unknown = X

X = (0.20 M HBr )( 0.02345 L )/ (0.11 M KOH) = (0.00469 / 0.11 KOH) Liter

X = 0.0426 L ;

X = 0.043 mL rounded off to 2 significant figures because the concentrations have only two sf.

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