Question

part e consider two solutions. solution a has a ph of 2, and solution b has a ph of 4. which statement is true? solution a is twice as acidic as solution b. solution a is 10 times as basic as solution b. solution a is twice as basic as solution b. solution a is 10 times as acidic as solution b. solution a is 100 times more basic than solution b. solution a is 100 times more acidic than solution b.

Explanation:

Step1: Recall pH and hydrogen ion concentration relationship

The pH of a solution is related to the hydrogen ion concentration \([H^+]\) by the formula \(pH = -\log_{10}[H^+]\), so \([H^+]=10^{-pH}\).

Step2: Calculate \([H^+]\) for Solution A

For Solution A with \(pH = 2\), \([H^+]_A=10^{-2}\) M.

Step3: Calculate \([H^+]\) for Solution B

For Solution B with \(pH = 4\), \([H^+]_B=10^{-4}\) M.

Step4: Find the ratio of \([H^+]_A\) to \([H^+]_B\)

\(\frac{[H^+]_A}{[H^+]_B}=\frac{10^{-2}}{10^{-4}} = 10^{-2 + 4}=10^{2}=100\). Since a higher hydrogen ion concentration means a more acidic solution, Solution A has 100 times more hydrogen ions than Solution B, so it is 100 times more acidic.

Answer:

Solution A is 100 times more acidic than solution B.