The `pH` value of a `10 M` solution of `HCl` is

Options

A. less than 0
B. equal to 0
C. equal to 1
D. equal to 2

Explanation

To find the pH value of a 10 M solution of HCl, we can follow these steps:

### Step 1: Understand the definition of pH
The pH of a solution is defined as the negative logarithm (base 10) of the concentration of hydrogen ions (H⁺) in the solution. The formula for pH is:
\[ \text{pH} = -\log[\text{H}^+] \]

### Step 2: Determine the concentration of H⁺ ions
HCl is a strong acid that completely dissociates in water. Therefore, a 10 M solution of HCl will produce 10 M of H⁺ ions. This means:
\[ [\text{H}^+] = 10 \, \text{M} \]

### Step 3: Apply the pH formula
Now, we can substitute the concentration of H⁺ ions into the pH formula:
\[ \text{pH} = -\log(10) \]

### Step 4: Calculate the logarithm
The logarithm of 10 (base 10) is 1, so:
\[ \text{pH} = -1 \]

### Step 5: Interpret the result
The calculated pH value is -1. Although the typical pH scale ranges from 0 to 14, it is possible for strong acids at high concentrations to have a pH value less than 0.

### Final Answer
Thus, the pH value of a 10 M solution of HCl is -1.

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