The pH of the solution is 4. The hydrogen ion concentration of the solution in mol/litre is

Options

A. 9.5
B. `10^(-4)`
C. `10^(4)`
D. `10^(-2)`

Explanation

To find the hydrogen ion concentration from the given pH, we can follow these steps:

### Step 1: Understand the relationship between pH and hydrogen ion concentration.
The pH of a solution is defined as the negative logarithm (base 10) of the hydrogen ion concentration \([H^+]\) in moles per liter (mol/L):
\[ \text{pH} = -\log[H^+] \]

### Step 2: Rearrange the formula to find \([H^+]\).
To find the hydrogen ion concentration, we can rearrange the formula:
\[ [H^+] = 10^{-\text{pH}} \]

### Step 3: Substitute the given pH value into the formula.
Given that the pH of the solution is 4, we can substitute this value into our rearranged formula:
\[ [H^+] = 10^{-4} \]

### Step 4: Calculate the hydrogen ion concentration.
Now, we can calculate the value:
\[ [H^+] = 10^{-4} \text{ mol/L} \]

### Final Answer:
The hydrogen ion concentration of the solution is:
\[ [H^+] = 0.0001 \text{ mol/L} \]

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