A solution with pH=2 is more acidic than one with a pH =6 , by a factor

Options

A. 4000
B. 5000
C. 8000
D. 10000

Explanation

To determine how much more acidic a solution with a pH of 2 is compared to a solution with a pH of 6, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the pH Scale**:
- The pH scale measures the acidity or basicity of a solution. A lower pH indicates a more acidic solution.

2. **Identify the Given pH Values**:
- We have two solutions:
- Solution 1: pH = 2
- Solution 2: pH = 6

3. **Use the pH Formula**:
- The formula for pH is given by:
\[ \text{pH} = -\log[H^+] \]
- To find the concentration of hydrogen ions \([H^+]\), we can rearrange this formula:
\[ [H^+] = 10^{-\text{pH}} \]

4. **Calculate \([H^+]\) for Each Solution**:
- For Solution 1 (pH = 2):
\[ [H^+]_1 = 10^{-2} = 0.01 \, \text{M} \]
- For Solution 2 (pH = 6):
\[ [H^+]_2 = 10^{-6} = 0.000001 \, \text{M} \]

5. **Compare the Concentrations**:
- To find out how many times more acidic Solution 1 is compared to Solution 2, we divide the concentration of hydrogen ions in Solution 1 by that in Solution 2:
\[ \text{Factor} = \frac{[H^+]_1}{[H^+]_2} = \frac{0.01}{0.000001} = 10^{4} = 10,000 \]

6. **Conclusion**:
- Therefore, the solution with a pH of 2 is more acidic than the solution with a pH of 6 by a factor of **10,000**.