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------------------------------------------------ In a titration of 35.00 mL of 0.737 M H\(_2\)SO\(_4\), how many mL of a 0.827 M KOH solution is required for neutralization?

A. 25.8
B. 62.4
C. 39.3
D. 1.12
E. 35.0

Answer :

In a titration of 35.00 mL of 0.737 M H₂SO₄, 62.4 mL of a 0.827 M KOH solution is required for neutralization.

What is Neutralization?

The interaction of H+ ions and OH- ions produces water in a neutralization reaction, which occurs when an acid and a base react to form water and salt. A pH of 7 results from the neutralization of a potent acid and a potent base.

Calculation:

The balanced reaction is

H₂SO₄ + 2 KOH ⇒ 2 H₂O + K₂SO₄

The molarity M is the number of moles of solute that are dissolved in a given volume, expressed as:

number of moles = molarity × volume

For H₂SO₄

35.00 mL= 0.035 L (being 1,000 mL= 1 L)

Molarity= 0.737 M

Then,

number of moles= 0.737 M × 0.035 L

number of moles= 0.0258

So you must neutralize 0.0258 moles of H₂SO₄. Now you can apply the following rule of three: if by stoichiometry 1 mole of H₂SO₄ is neutralized with 2 moles of KOH, 0.0258 moles of H₂SO₄ are neutralized with moles of KOH =?

moles of KOH = 0.0516,

Then 0.0516 moles of KOH are needed.

Molarity= 0.827 M

number of moles= 0.0516

volume=?

Replacing in the definition of molarity: 0.827M = 0.0516 moles/ volume.

= 0.0516moles/0.827M = volume

volume = 0.0624 L= 62.4 mL.

Hence, 62.4 mL of a 0.827 m KOH solution is required for neutralization.

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