The pH of a solution with \([\text{H}_3\text{O}^+]\) = 3.74 x 10^-3 M is approximately 2.425, indicating an acidic solution, as pH < 7.
To calculate the pH of a solution, you can use the formula:
\[ \text{pH} = -\log[\text{H}_3\text{O}^+] \]
Given that \([\text{H}_3\text{O}^+] = 3.74 \times 10^{-3} \, \text{M}\), substitute this value into the formula:
\[ \text{pH} = -\log(3.74 \times 10^{-3}) \]
\[ \text{pH} \approx -(-2.425) \]
\[ \text{pH} \approx 2.425 \]
So, the pH of the solution is approximately 2.425.
Now, to determine if the solution is acidic, basic, or neutral, you can interpret the pH value:
- pH < 7 indicates an acidic solution.
- pH = 7 indicates a neutral solution.
- pH > 7 indicates a basic (alkaline) solution.
In this case, with a pH of approximately 2.425, the solution is acidic.