Answer:
42.17 mL
Step-by-step explanation:
Step 1:
The balanced equation for the reaction. This is illustrated below:
KOH + HCl —> KCl + H2O
From the balanced equation above, the following were obtained:
Mole of the acid (nA) = 1
Mole of the base (nB) = 1
Step 2:
Data obtained from the question. This includes:
Molarity of the base (Mb) = 0.12 M
Volume of the base (Vb) =?
Volume of the acid (Va) = 23 mL
Molarity of the acid (Ma) = 0.22 M
Step 3:
Determination of the volume of the base.
Applying the equation:
MaVa/MbVb = nA/nB
The volume of the base can be obtained as illustrated below:
MaVa/MbVb = nA/nB
0.22 x 23 / 0.12 x Vb = 1
Cross multiply to express in linear form.
0.12 x Vb = 0.22 x 23
Divide both side by 0.12
Vb = (0.22 x 23)/ 0.12
Vb = 42.17 mL
Therefore, 42.17 mL of 0.12M KOH solution is needed to react with 23 ml of 0.22 M HCl.