If the pH of a solution is 2, its normality will be

Options

A. 2N
B. `(1)/(2)N`
C. 0.01 N
D. None of these

Explanation

To find the normality of a solution when the pH is given as 2, we can follow these steps:

### Step 1: Understand the relationship between pH and hydrogen ion concentration
The pH of a solution is defined as:
\[ \text{pH} = -\log[H^+] \]
Given that the pH is 2, we can find the concentration of hydrogen ions \([H^+]\).

### Step 2: Calculate the concentration of hydrogen ions
Using the formula for pH:
\[ 2 = -\log[H^+] \]
To find \([H^+]\), we can rewrite the equation:
\[ [H^+] = 10^{-2} \text{ M} \]
This means:
\[ [H^+] = 0.01 \text{ M} \]

### Step 3: Relate normality to molarity
Normality (N) is related to molarity (M) by the equation:
\[ \text{Normality} = \text{Molarity} \times n \]
where \(n\) is the number of equivalents of the solute. For hydrogen ions (\(H^+\)), the \(n\) factor is 1 because each \(H^+\) ion can donate one proton.

### Step 4: Calculate normality
Since the molarity of hydrogen ions is \(0.01 \text{ M}\) and the \(n\) factor is 1:
\[ \text{Normality} = 0.01 \text{ M} \times 1 = 0.01 \text{ N} \]

### Conclusion
Thus, the normality of the solution is:
\[ \text{Normality} = 0.01 \text{ N} \]

### Final Answer
The normality of the solution is **0.01 N**.

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