The gastric juice in our stomach contains enough `HCl` to make the hydrogen ion concentration about `0.01 mol` `L^(-1)`. The `pH` of gastric juice is

Options

A. (a) `0.01`
B. (b) `1`
C. (c) `2`
D. (d) `14`

Explanation

To find the pH of gastric juice given the hydrogen ion concentration, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the hydrogen ion concentration**:
The problem states that the hydrogen ion concentration \([H^+]\) in the gastric juice is \(0.01 \, \text{mol} \, \text{L}^{-1}\).

2. **Use the pH formula**:
The pH is calculated using the formula:
\[ \text{pH} = -\log[H^+] \]

3. **Substitute the concentration into the formula**:
Substitute \([H^+] = 0.01 \, \text{mol} \, \text{L}^{-1}\) into the pH formula:
\[ \text{pH} = -\log(0.01) \]

4. **Calculate the logarithm**:
We know that \(0.01\) can be expressed as \(10^{-2}\):
\[ \log(0.01) = \log(10^{-2}) = -2 \]

5. **Complete the pH calculation**:
Now substitute back into the pH formula:
\[ \text{pH} = -(-2) = 2 \]

6. **Conclusion**:
Therefore, the pH of the gastric juice is \(2\).

### Final Answer:
The pH of gastric juice is \(2\).

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