What will be hydrogen ion concentration in moles `"litre"^(-1)` of a solution, whose pH is 4.58

Options

A. `2.63 xx 10^(-5)`
B. `3.0 xx 10^(-5)`
C. 4.68
D. None of these

Explanation

To find the hydrogen ion concentration in moles per liter (mol/L) of a solution whose pH is 4.58, we can follow these steps:

### Step 1: Understand the relationship between pH and hydrogen ion concentration
The pH of a solution is related to the concentration of hydrogen ions \([H^+]\) by the formula:
\[ \text{pH} = -\log[H^+] \]

### 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
Now, we can substitute the given pH value (4.58) into the formula:
\[ [H^+] = 10^{-4.58} \]

### Step 4: Calculate the value
Using a calculator, we can compute:
\[ [H^+] = 10^{-4.58} \approx 2.63 \times 10^{-5} \text{ mol/L} \]

### Final Answer
The hydrogen ion concentration in the solution is approximately:
\[ [H^+] \approx 2.63 \times 10^{-5} \text{ mol/L} \]

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