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.
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.