What will be the hydrogen ion concentration in mole/litre of a solution of pH = 0?

Options

A. 0
B. `10^(-7)`
C. `10^@`
D. pH cannot be zero

Answer

To find the hydrogen ion concentration in moles per liter of a solution with a pH of 0, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the pH Scale**: The pH scale is a measure of the hydrogen ion concentration in a solution. It is defined as:
\[ \text{pH} = -\log[H^+] \]
where \([H^+]\) is the concentration of hydrogen ions in moles per liter (mol/L).

2. **Given pH Value**: The problem states that the pH of the solution is 0.

3. **Apply the pH Formula**: Substitute the given pH value into the pH formula:
\[ 0 = -\log[H^+] \]

4. **Rearranging the Equation**: To find \([H^+]\), we can rearrange the equation:
\[ -\log[H^+] = 0 \]

5. **Exponentiate to Remove the Logarithm**: To eliminate the logarithm, we can exponentiate both sides using base 10:
\[ \log[H^+] = 0 \implies [H^+] = 10^0 \]

6. **Calculate the Concentration**: Since \(10^0 = 1\):
\[ [H^+] = 1 \, \text{mol/L} \]

### Final Answer:
The hydrogen ion concentration in a solution with a pH of 0 is **1 mole per liter (1 mol/L)**.

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