A 15.0 mL sample of an unknown HClO4 solution requires 47.3 mL of 0.103 M NaOH for complete neutralization. What was the concentration of the unknown HClO4 solution? The neutralization reaction is: HClO4(aq)+NaOH(aq)→H2O(l)+NaClO4(aq)
The balanced chemical equation for the reaction between HClO4 and NaOH is given below.
HClO4 (aq) + NaOH (aq) -------> H2O (l) + NaClO4 (aq)
As per the balanced stoichiometric equation,
1 mole HClO4 = 1 mole NaOH
Mole(s) of NaOH added = (volume of NaOH in L)*(concentration of NaOH in mol/L) = (47.3 mL)*(1 L/1000 mL)*(0.103 mol/L) = 0.0048719 mole (1 M = 1 mol/L).
Therefore, mole(s) of HClO4 neutralized = 0.0048719 mole.
Concentration of HClO4 = (moles of HClO4)/(volume of HClO4 in L) = (0.0048719 mole)/[(15.0 mL)*(1 L/1000 mL)] = 0.32479 mol/L ≈ 0.325 M (ans).
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