The pH of a solution is given by the formula $\mathrm { pH } = - \log \left[ \mathrm { H } ^ { + } \right] , \text {where } \left[ \mathrm { H } ^ { + } \right]$ is the concentration of hydrogen ions in moles
per liter in the solution. Use this formula to
-Lower levels of pH indicate a more acidic solution. If the pH of solution A is 4.2 and the pH of solution B is 6.9, how much more acidic is solution A than solution B?
A) -0.0000630 times as acidic
B) 0.00200 times as acidic
C) 0.0000630 times as acidic
D) 501.2 times as acidic

Question

Quizplus · Accepted Answer

The acidity of a solution is directly related to its hydrogen ion concentration. A lower pH value indicates a higher concentration of hydrogen ions. The difference in acidity between two solutions can be calculated using the formula for pH given. The pH scale is logarithmic, meaning a difference of 1 pH unit corresponds to a tenfold difference in hydrogen ion concentration. Therefore, to find how much more acidic solution A is than solution B, we calculate $10^{(6.9 - 4.2)} = 10^{2.7} \approx 501.2$. This means solution A is 501.2 times more acidic than solution B.

The PH of a Solution Is Given by the Formula pH=−log⁡[H+],where [H+]\mathrm { pH } = - \log \left[ \mathrm { H } ^ { + } \right] , \text {where } \left[ \mathrm { H } ^ { + } \right]pH=−log[H+],where [H+]

The PH of a Solution Is Given by the Formula $\mathrm { pH } = - \log \left[ \mathrm { H } ^ { + } \right] , \text {where } \left[ \mathrm { H } ^ { + } \right]$