   # A solution of hydrochloric acid has a volume of 250. mL and a pH of 1.92. Exactly 250. mL of 0.0105 M NaOH is added. What is the pH of the resulting solution? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 4, Problem 112GQ
Textbook Problem
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## A solution of hydrochloric acid has a volume of 250. mL and a pH of 1.92. Exactly 250. mL of 0.0105 M NaOH is added. What is the pH of the resulting solution?

Interpretation Introduction

Interpretation:

pH of the solution obtained by adding given volume of HCl with given volume of NaOH under given pH condition has to be determined.

Concept introduction:

• Strong acids dissociates completely into ions in solution but weak acids do not.
• pH of a solution is the negative of the base -10 logarithm of the hydronium ion concentration.

pH=-log[H3O+]

• Concentration of hydronium ion [H3O+]=10-pH
• For an acidic solution pH<7 and for a basic solution pH>7.
• Amountofsubstance=Concnetrationofthesubstance×Volume
• Concnetrationofthesubstance=AmountofsubstanceVolume

### Explanation of Solution

In the given solution of HCl has a volume of 250.mL and a pH of 1.92

From its pH value Concentration of hydronium ion can be determined using the formula,

Concentration of hydronium ion [H3O+]=10-pH

The pH of the given solution is 1.92. Substituting this value in the above equation,

Concentration of hydronium ion is,

[H3O+]=10-1.92 =0.012M

Amount of HCl in 250.mL of 0.012M solution can be calculated as follows,

AmountofHCl =ConcnetrationHCl×VolumeHCl =0.012molL×0.25L =0.003molHCl

Similarly the amount of NaOH in 250.mL of 0.0105M solution can be calculated.

AmountofNaOH =ConcnetrationNaOH×VolumeNaOH =0

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