https://file.aiquickdraw.com/mathbot/file/1723945202927o8167zdt.pdf

Let's start solving the sample problems mentioned in the file:

1. **What is the pH of the solution if the \([H_3O^+]\) concentration is \(5.5 \times 10^{-4}\) M?**

   **Solution:**
   \[
   \text{pH} = -\log [H_3O^+]
   \]
   \[
   \text{pH} = -\log (5.5 \times 10^{-4}) = 3.26
   \]

2. **The pOH of the solution is 5.7. Calculate the pH of the solution?**

   **Solution:**
   We know that:
   \[
   \text{pH} + \text{pOH} = 14
   \]
   \[
   \text{pH} = 14 - 5.7 = 8.3
   \]

3. **If the pOH is 4.3, what is the \([OH^-]\) concentration?**

   **Solution:**
   \[
   \text{pOH} = -\log [OH^-]
   \]
   Rearranging for \([OH^-]\):
   \[
   [OH^-] = 10^{-\text{pOH}} = 10^{-4.3} = 5.01 \times 10^{-5} \, \text{M}
   \]

4. **What is the pOH of the solution if the \([H_3O^+]\) concentration is \(5.2 \times 10^{-3}\)?**

   **Solution:**
   First, find the pH:
   \[
   \text{pH} = -\log [H_3O^+] = -\log (5.2 \times 10^{-3}) = 2.28
   \]
   Then, calculate pOH:
   \[
   \text{pOH} = 14 - \text{pH} = 14 - 2.28 = 11.72
   \]

5. **If the \(K_a\) of an acid is \(1.7 \times 10^{-5}\), calculate the \(pK_a\) and \(pK_b\) values of the acid.**

   **Solution:**
   \[
   pK_a = -\log K_a = -\log (1.7 \times 10^{-5}) = 4.77
   \]
   Using the relationship \( pK_a + pK_b = 14 \):
   \[
   pK_b = 14 - pK_a = 14 - 4.77 = 9.23
   \]

---

Let me know if you need more details or explanations. Here are some related questions:

1. How do you calculate the pH for weak acids and bases?
2. What is the relationship between pH and \([H_3O^+]\)?
3. Can you explain the concept of \(pK_a\) and its significance in acid strength?
4. How does one determine the pOH given \([OH^-]\) concentration?
5. How are \(pK_a\) and \(K_a\) related in buffer solutions?

**Tip:** Remember, \(pH\) and \(pOH\) are inversely related—if one increases, the other decreases.

Learn how to solve pH and pOH calculation problems with detailed step-by-step solutions. This includes calculating pH from [H3O+] concentration, determining pOH from pH, and understanding acid strength through Ka and Kb values. Suitable for advanced high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation