College

A solution for which [tex]\left[ H^{+}\right]=1.0 \times 10^{-3}[/tex] will have a pH of:

A. 5.00
B. 3.00
C. -5.00
D. -9.00

Answer :

To determine the pH of a solution with [tex]\([H^+]=1.0 \times 10^{-3}\)[/tex], you can follow these steps:

1. Understand the pH Formula: The pH of a solution is calculated using the formula:
[tex]\[
\text{pH} = -\log_{10}[H^+]
\][/tex]
where [tex]\([H^+]\)[/tex] is the concentration of hydrogen ions in the solution.

2. Insert the Given Value: Plug the given hydrogen ion concentration into the formula. In this case, [tex]\([H^+]=1.0 \times 10^{-3}\)[/tex].

3. Calculate the Logarithm: Find the base 10 logarithm of [tex]\(1.0 \times 10^{-3}\)[/tex].

4. Apply the Negative Sign: Since the formula involves taking the negative logarithm, we will take the negative of the result from step 3.

5. Outcome: The calculation gives a pH value of 3.00.

So, the correct pH for this solution is 3.00.