The pH of 0.01 molar solution of HCl will be

Options

A. `0.001`
B. 3
C. 2
D. 6

Explanation

To find the pH of a 0.01 molar solution of HCl, we can follow these steps:

### Step 1: Understand the nature of HCl
HCl is a strong acid, which means it completely dissociates in water. Therefore, the concentration of hydrogen ions (H⁺) in the solution will be equal to the concentration of HCl.

### Step 2: Determine the concentration of H⁺ ions
Since the concentration of HCl is 0.01 M, and it completely dissociates, the concentration of H⁺ ions will also be 0.01 M.

\[ [H^+] = 0.01 \, \text{M} \]

### Step 3: Use the formula for pH
The pH of a solution is calculated using the formula:

\[ \text{pH} = -\log[H^+] \]

### Step 4: Substitute the concentration into the pH formula
Now, we substitute the concentration of H⁺ ions into the pH formula:

\[ \text{pH} = -\log(0.01) \]

### Step 5: Calculate the logarithm
We can express 0.01 as \( 10^{-2} \):

\[ \text{pH} = -\log(10^{-2}) \]

Using the property of logarithms, we know that:

\[ \log(10^{-2}) = -2 \]

Thus:

\[ \text{pH} = -(-2) = 2 \]

### Conclusion
The pH of a 0.01 molar solution of HCl is **2**.

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