Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Let's solve the problem step-by-step.
We are given the concentration of hydrogen ions in the solution, [tex]\(\left[ H^{+} \right] = 0.01 \, \text{M}\)[/tex]. We are asked to find the pH of this solution using the formula:
[tex]\[ pH = -\log \left[ H_3 O^{+} \right] \][/tex]
or equivalently,
[tex]\[ pH = -\log \left[ H^{+} \right] \][/tex]
1. Substitute the given concentration into the pH formula:
[tex]\[ pH = -\log \left( 0.01 \right) \][/tex]
2. Recall that [tex]\( \log \left( 0.01 \right) \)[/tex] can be rewritten as [tex]\( \log \left( 10^{-2} \right) \)[/tex].
3. Using the properties of logarithms, [tex]\(\log \left( 10^{-2} \right) = -2 \)[/tex].
4. Now, substitute this back into the pH calculation:
[tex]\[ pH = -(-2) \][/tex]
5. Simplify the expression:
[tex]\[ pH = 2 \][/tex]
Therefore, the pH of the solution is [tex]\(2\)[/tex]. This matches the given information and the correct answer from the choices is [tex]\(2\)[/tex].
We are given the concentration of hydrogen ions in the solution, [tex]\(\left[ H^{+} \right] = 0.01 \, \text{M}\)[/tex]. We are asked to find the pH of this solution using the formula:
[tex]\[ pH = -\log \left[ H_3 O^{+} \right] \][/tex]
or equivalently,
[tex]\[ pH = -\log \left[ H^{+} \right] \][/tex]
1. Substitute the given concentration into the pH formula:
[tex]\[ pH = -\log \left( 0.01 \right) \][/tex]
2. Recall that [tex]\( \log \left( 0.01 \right) \)[/tex] can be rewritten as [tex]\( \log \left( 10^{-2} \right) \)[/tex].
3. Using the properties of logarithms, [tex]\(\log \left( 10^{-2} \right) = -2 \)[/tex].
4. Now, substitute this back into the pH calculation:
[tex]\[ pH = -(-2) \][/tex]
5. Simplify the expression:
[tex]\[ pH = 2 \][/tex]
Therefore, the pH of the solution is [tex]\(2\)[/tex]. This matches the given information and the correct answer from the choices is [tex]\(2\)[/tex].
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.