Question
A sample of lemon juice is found to have a pH of 2.3. What is the concentration of hydrogen ions in the lemon juice? (Answer in M, and round to three decimals.)
Record your answer. Be sure to use the correct place value.
Record your answer. Be sure to use the correct place value.
Answers
GPT-4o mini
To find the concentration of hydrogen ions \([\text{H}^+]\) in a solution from its pH, you can use the following formula:
\[
\text{pH} = -\log[\text{H}^+]
\]
Rearranging this formula gives:
\[
[\text{H}^+] = 10^{-\text{pH}}
\]
Given that the pH of the lemon juice is 2.3, we can substitute this value into the equation:
\[
[\text{H}^+] = 10^{-2.3}
\]
Now, calculating that gives:
\[
[\text{H}^+] \approx 0.005012
\]
Rounding to three decimal places gives:
\[
[\text{H}^+] \approx 0.005 \, \text{M}
\]
Therefore, the concentration of hydrogen ions in the lemon juice is:
\[
\boxed{0.005} \, \text{M}
\]
\[
\text{pH} = -\log[\text{H}^+]
\]
Rearranging this formula gives:
\[
[\text{H}^+] = 10^{-\text{pH}}
\]
Given that the pH of the lemon juice is 2.3, we can substitute this value into the equation:
\[
[\text{H}^+] = 10^{-2.3}
\]
Now, calculating that gives:
\[
[\text{H}^+] \approx 0.005012
\]
Rounding to three decimal places gives:
\[
[\text{H}^+] \approx 0.005 \, \text{M}
\]
Therefore, the concentration of hydrogen ions in the lemon juice is:
\[
\boxed{0.005} \, \text{M}
\]