What is the hydrogen ion concentration of a solution with pH value 5.6 ?

Explanation

To find the hydrogen ion concentration of a solution with a pH value of 5.6, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the pH Definition**:
The pH of a solution is defined as the negative logarithm (base 10) of the hydrogen ion concentration \([H^+]\):
\[ \text{pH} = -\log[H^+] \]

2. **Set Up the Equation**:
Given that the pH is 5.6, we can set up the equation:
\[ 5.6 = -\log[H^+] \]

3. **Rearrange the Equation**:
To find \([H^+]\), we can rearrange the equation:
\[ \log[H^+] = -5.6 \]

4. **Convert Logarithmic to Exponential Form**:
To eliminate the logarithm, we can convert it to its exponential form:
\[ [H^+] = 10^{-5.6} \]

5. **Calculate the Value**:
Now we can calculate \(10^{-5.6}\):
\[ [H^+] \approx 0.0003981072 \text{ M} \]

6. **Express in Scientific Notation**:
To express this in scientific notation:
\[ [H^+] \approx 3.98 \times 10^{-4} \text{ M} \]

7. **Final Answer**:
Therefore, the hydrogen ion concentration of the solution is:
\[ [H^+] \approx 2.51 \times 10^{-6} \text{ M} \]