Answer:
At the equivalence point, 5.684 x 10^-4 mol of H2O2 is present in 5.00 mL of solution. Thus, the concentration of H2O2 is 0.1137 mol/L or 1.14 x 10^-1 M.
Step-by-step explanation:
The balanced chemical equation for the reaction is:
MnO4^- + H2O2 → Mn2+ + O2
From the equation, we can see that the stoichiometry of the reaction is 1:1, meaning that 1 mole of KMnO4 reacts with 1 mole of H2O2. Therefore, the number of moles of H2O2 present in the 5.00 mL solution can be calculated as:
moles of H2O2 = moles of KMnO4 = 5.684 x 10^-4 mol
To find the concentration of H2O2, we can use the following equation:
moles of solute = concentration × volume
Rearranging the equation to solve for the concentration:
concentration = moles of solute / volume
Substituting the given values:
concentration of H2O2 = moles of H2O2 / volume of H2O2 = 5.684 x 10^-4 mol / 5.00 mL
Converting mL to L:
volume of H2O2 = 5.00 mL = 5.00 x 10^-3 L
Substituting the values:
concentration of H2O2 = (5.684 x 10^-4 mol) / (5.00 x 10^-3 L) = 0.1137 mol/L
Therefore, the concentration of H2O2 is 0.1137 mol/L, or 1.14 x 10^-1 M (to 3 significant figures).