Final answer:
Approximately 33.6 mL of the 0.117 M HCl solution is needed to neutralize 28.67 mL of 0.137 M KOH.
Step-by-step explanation:
To determine the volume of 0.117 M HCl needed to neutralize 28.67 mL of 0.137 M KOH, we can use the concept of stoichiometry and the balanced chemical equation between HCl and KOH:
HCl + KOH → KCl + H2O
From the balanced equation, we can see that the mole ratio between HCl and KOH is 1:1. This means that 1 mole of HCl reacts with 1 mole of KOH. Therefore, we can calculate the number of moles of KOH present in 28.67 mL of 0.137 M KOH:
Moles of KOH = (0.137 mol/L)(0.02867 L) = 0.0039343 mol KOH
Since the mole ratio is 1:1, the number of moles of HCl required to neutralize the KOH is also 0.0039343 mol. We can calculate the volume of 0.117 M HCl needed using its concentration:
Volume of HCl = (0.0039343 mol)/(0.117 mol/L) = 0.0336 L = 33.6 mL
Therefore, approximately 33.6 mL of the 0.117 M HCl solution is needed to neutralize 28.67 mL of 0.137 M KOH.