pH of human blood is 7.4. Then `H^(+)` concentration will be

Options

A. `4 xx 10^(-8)`
B. `2 xx 10^(-8)`
C. `4 xx 10^(-4)`
D. `2 xx 10^(-4)`

Explanation

To find the concentration of hydrogen ions (\(H^+\)) in human blood given that the pH is 7.4, we can follow these steps:

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

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

### Step 3: Substitute the given pH value
Substituting the given pH value of 7.4 into the equation:
\[ [H^+] = 10^{-7.4} \]

### Step 4: Calculate \(10^{-7.4}\)
Using a calculator or logarithmic tables, we can find:
\[ 10^{-7.4} \approx 3.98 \times 10^{-8} \text{ M} \]

### Step 5: Round the result
Rounding this value gives us:
\[ [H^+] \approx 4.0 \times 10^{-8} \text{ M} \]

### Final Answer
The concentration of hydrogen ions (\(H^+\)) in human blood with a pH of 7.4 is approximately:
\[ [H^+] = 4.0 \times 10^{-8} \text{ M} \]

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