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Question
solutions with a ___ concentration of hydrogen ions have a low ph.
a. high
b. low
The pH scale is related to the concentration of hydrogen ions ($\ce{H+}$) in a solution. The formula for pH is $\text{pH} = -\log_{10}[\ce{H+}]$, where $[\ce{H+}]$ is the hydrogen ion concentration. When the hydrogen ion concentration is high, the value of $-\log_{10}[\ce{H+}]$ is low (since the logarithm of a larger number is larger, and we have a negative sign). For example, a solution with a high $[\ce{H+}]$ (like 0.1 M, which is $10^{-1}$ M) has a pH of 1 (low pH), while a solution with a low $[\ce{H+}]$ (like $10^{-14}$ M) has a pH of 14 (high pH). So solutions with a high concentration of hydrogen ions have a low pH.
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a. high