If a solution has a pH value of 14 at `25^@C, H^+` concentration should be

Options

A. 0
B. 10
C. 1
D. none of these

Answer

To find the hydrogen ion concentration \([H^+]\) when the pH of a solution is 14 at \(25^\circ C\), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between pH and hydrogen ion concentration**:
The pH of a solution is defined as:
\[ \text{pH} = -\log[H^+] \]
where \([H^+]\) is the concentration of hydrogen ions in moles per liter (M).

2. **Substitute the given pH value into the equation**:
Given that the pH is 14, we can substitute this value into the equation:
\[ 14 = -\log[H^+] \]

3. **Rearranging the equation to find \([H^+]\)**:
To isolate \([H^+]\), we first take the antilogarithm (10 raised to the power of both sides):
\[ [H^+] = 10^{-14} \]

4. **Final concentration**:
Therefore, the concentration of hydrogen ions when the pH is 14 is:
\[ [H^+] = 1 \times 10^{-14} \, \text{M} \]

### Conclusion:
The hydrogen ion concentration \([H^+]\) in a solution with a pH of 14 at \(25^\circ C\) is \(1 \times 10^{-14} \, \text{M}\).