Question
Ph, Acids and Bases Quick Check
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Question
Which statement best describes the difference between a substance with a pH of 3.0 and a substance with a pH of 6.0?(1 point)
Responses
The substance with the higher pH has twice as many hydrogen ions per volume of water.
The substance with the higher pH has twice as many hydrogen ions per volume of water.
The substance with the lower pH has twice as many hydrogen ions per volume of water.
The substance with the lower pH has twice as many hydrogen ions per volume of water.
The substance with the lower pH has 1,000 times as many hydrogen ions per volume of water.
The substance with the lower pH has 1,000 times as many hydrogen ions per volume of water.
The substance with the higher pH has 1,000 times as many hydrogen ions per volume of water.
The substance with the higher pH has 1,000 times as many hydrogen ions per volume of water.
Answers
GPT-4o mini
To compare substances with different pH values, we need to understand that pH is a logarithmic scale that measures the concentration of hydrogen ions (H⁺) in a solution. Each decrease of 1 in pH represents a tenfold increase in hydrogen ion concentration.
In this case:
- A substance with a pH of 3.0 has a concentration of hydrogen ions of \(10^{-3} \, M\).
- A substance with a pH of 6.0 has a concentration of hydrogen ions of \(10^{-6} \, M\).
To find the difference in hydrogen ion concentration:
\[
10^{-3} \, M \, (pH \, 3) \, / \, 10^{-6} \, M \, (pH \, 6) = 10^{3} = 1000
\]
This shows that the substance with a pH of 3.0 (lower pH) has 1,000 times as many hydrogen ions per volume of water as the substance with a pH of 6.0 (higher pH).
Thus, the correct response is:
**The substance with the lower pH has 1,000 times as many hydrogen ions per volume of water.**
In this case:
- A substance with a pH of 3.0 has a concentration of hydrogen ions of \(10^{-3} \, M\).
- A substance with a pH of 6.0 has a concentration of hydrogen ions of \(10^{-6} \, M\).
To find the difference in hydrogen ion concentration:
\[
10^{-3} \, M \, (pH \, 3) \, / \, 10^{-6} \, M \, (pH \, 6) = 10^{3} = 1000
\]
This shows that the substance with a pH of 3.0 (lower pH) has 1,000 times as many hydrogen ions per volume of water as the substance with a pH of 6.0 (higher pH).
Thus, the correct response is:
**The substance with the lower pH has 1,000 times as many hydrogen ions per volume of water.**