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

### Step 2: Calculate pOH
Given that the pH of the solution is 3, we can find the pOH by rearranging the equation:
\[ \text{pOH} = 14 - \text{pH} \]
Substituting the given pH value:
\[ \text{pOH} = 14 - 3 = 11 \]

### Step 3: Convert pOH to hydroxyl ion concentration
The hydroxyl ion concentration \([OH^-]\) can be calculated from pOH using the formula:
\[ [OH^-] = 10^{-\text{pOH}} \]
Substituting the pOH value we found:
\[ [OH^-] = 10^{-11} \, \text{M} \]

### Step 4: State the final answer
Thus, the hydroxyl ion concentration in the solution 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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