What is the pH of a 2.8 M solution of HCIO4? pH = 27

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### Determining the pH of a 2.8 M Solution of HClO₄

In this lesson, we will calculate the pH of a 2.8 M solution of perchloric acid (HClO₄).

#### Problem Statement:

**What is the pH of a 2.8 M solution of HClO₄?**

#### Calculation:

pH is calculated using the formula:
\[ \text{pH} = -\log[H^+] \]

For a strong acid like HClO₄, it completely dissociates in water:
\[ \text{HClO}_4 \rightarrow H^+ + \text{ClO}_4^- \]

This means the concentration of \( H^+ \) ions is equal to the initial concentration of the perchloric acid solution.

Given:
- The concentration of HClO₄ is 2.8 M.

So,
\[ [H^+] = 2.8 \, \text{M} \]

Using the pH formula:
\[ \text{pH} = -\log(2.8) \]

Therefore, the pH of the 2.8 M solution of HClO₄ is:

\[ \text{pH} = \boxed{pH = -\log(2.8)} \]

You can compute this using a scientific calculator.

---

This exercise is a fundamental practice in understanding the relationship between the concentration of a strong acid and its pH value.
Transcribed Image Text:### Determining the pH of a 2.8 M Solution of HClO₄ In this lesson, we will calculate the pH of a 2.8 M solution of perchloric acid (HClO₄). #### Problem Statement: **What is the pH of a 2.8 M solution of HClO₄?** #### Calculation: pH is calculated using the formula: \[ \text{pH} = -\log[H^+] \] For a strong acid like HClO₄, it completely dissociates in water: \[ \text{HClO}_4 \rightarrow H^+ + \text{ClO}_4^- \] This means the concentration of \( H^+ \) ions is equal to the initial concentration of the perchloric acid solution. Given: - The concentration of HClO₄ is 2.8 M. So, \[ [H^+] = 2.8 \, \text{M} \] Using the pH formula: \[ \text{pH} = -\log(2.8) \] Therefore, the pH of the 2.8 M solution of HClO₄ is: \[ \text{pH} = \boxed{pH = -\log(2.8)} \] You can compute this using a scientific calculator. --- This exercise is a fundamental practice in understanding the relationship between the concentration of a strong acid and its pH value.
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