Consider separate aqueous solutions of \(\mathrm{HCl}\) and $\mathrm{H}_{2} \mathrm{SO}_{4}$ with the same molar concentrations. You wish to neutralize an aqueous solution of NaOH. For which acid solution would you need to add more volume (in milliliters) to neutralize the base? a. the HCl solution b. the \(\mathrm{H}_{2} \mathrm{SO}_{4}\) solution c. You need to know the acid concentrations to answer this question. d. You need to know the volume and concentration of the NaOH solution to answer this question. e. c and d Explain.

Short Answer

Expert verified
a. the HCl solution

Step by step solution

01

Write the balanced neutralization reactions for both acids

First, we need to write down the balanced chemical equations for the neutralization reactions of HCl and H₂SO₄ with NaOH. 1. HCl + NaOH -> NaCl + H₂O 2. H₂SO₄ + 2 NaOH -> Na₂SO₄ + 2 H₂O In equation 1, one mole of HCl reacts with one mole of NaOH. In equation 2, one mole of H₂SO₄ reacts with two moles of NaOH.
02

Determine the stoichiometry of the reactions

Comparing these reactions, we can infer that one mole of H₂SO₄ can neutralize twice the amount of NaOH as one mole of HCl. It's important to note that 1 mole of H₂SO₄ has twice the neutralizing power, given that it disassociates into two H⁺ ions.
03

Compare the volumes of acids required for neutralization

Since both the HCl and H₂SO₄ solutions have the same molar concentrations, the volume required to neutralize a given amount of NaOH would be inversely proportional to their neutralizing power. In this case, given that one mole of H₂SO₄ can neutralize twice the amount of NaOH as one mole of HCl, we can conclude that we would need a smaller volume of the H₂SO₄ solution to neutralize the same amount of NaOH.
04

Choose the correct answer from the available options

Based on our analysis, we can conclude that we would need to add more volume of the HCl solution to neutralize the NaOH solution compared to the H₂SO₄ solution. Hence, the correct answer is: a. the HCl solution

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