If the hydrogen ion concentration of a given solution is `5.5 xx 10^(-3) " mol litre"^(-1)`, the pH of the solution will be

Options

A. 2.26
B. 3.4
C. 3.75
D. 2.76

Explanation

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

### Step-by-Step Solution:

1. **Identify the hydrogen ion concentration**:
The given hydrogen ion concentration \([H^+]\) is \(5.5 \times 10^{-3} \, \text{mol/L}\).

2. **Use the pH formula**:
The pH of a solution is calculated using the formula:
\[ \text{pH} = -\log[H^+] \]

3. **Substitute the hydrogen ion concentration into the formula**:
Substitute \([H^+]\) with \(5.5 \times 10^{-3}\):
\[ \text{pH} = -\log(5.5 \times 10^{-3}) \]

4. **Break down the logarithm calculation**:
Using properties of logarithms:
\[ \text{pH} = -\log(5.5) - \log(10^{-3}) \]
Since \(-\log(10^{-3}) = 3\), we can rewrite it as:
\[ \text{pH} = -\log(5.5) + 3 \]

5. **Calculate \(-\log(5.5)\)**:
Using a calculator or logarithm table, we find:
\[ -\log(5.5) \approx -0.740 \]

6. **Combine the results**:
Now substitute back into the pH equation:
\[ \text{pH} = 3 - 0.740 \approx 2.26 \]

7. **Final result**:
The pH of the solution is approximately \(2.26\).

### Final Answer:
The pH of the solution is **2.26**.