The hydroxyl ion concentration in a solution having pH value 3 will be :

Options

A. `10^(-11)`M
B. `10^(-7)`M
C. `10^(-3) M`
D. `10^(-4)`M

Explanation

To find the hydroxyl ion concentration in a solution with a pH of 3, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between pH and pOH**:
The relationship between pH and pOH is given by the equation:
\[ \text{pH} + \text{pOH} = 14 \]

2. **Calculate pOH from the given pH**:
Since the pH is given as 3, we can find pOH by rearranging the equation:
\[ \text{pOH} = 14 - \text{pH} \]
Substituting the value of pH:
\[ \text{pOH} = 14 - 3 = 11 \]

3. **Calculate the hydroxyl ion concentration**:
The concentration of hydroxyl ions \([OH^-]\) can be calculated using the formula:
\[ [OH^-] = 10^{-\text{pOH}} \]
Substituting the value of pOH:
\[ [OH^-] = 10^{-11} \, \text{M} \]

4. **Conclusion**:
Therefore, the hydroxyl ion concentration in the solution with a pH of 3 is:
\[ [OH^-] = 10^{-11} \, \text{M} \]

### Final Answer:
The hydroxyl ion concentration in a solution having a pH value of 3 is \(10^{-11} \, \text{M}\).

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