scenario: you are testing two different household solutions with your cabbage indicator, using the color key…

scenario: you are testing two different household solutions with your cabbage indicator, using the color key to the right. the second solution turns purple. a possible hydrogen ion concentration for this solution is: o 1×10⁻² m o 7×10⁻³ m o 1×10⁻⁷ m o 7×10⁻⁴ m done

scenario: you are testing two different household solutions with your cabbage indicator, using the color key to the right. the second solution turns purple. a possible hydrogen ion concentration for this solution is: o 1×10⁻² m o 7×10⁻³ m o 1×10⁻⁷ m o 7×10⁻⁴ m done

Answer

Explanation:

Step1: Identify pH range for purple color

According to the cabbage - pH indicator color key, purple color corresponds to a pH range of 3 - 4.

Step2: Recall the pH formula

The pH formula is $pH=-\log[H^+]$, where $[H^+]$ is the hydrogen - ion concentration.

Step3: Calculate the hydrogen - ion concentration range for the pH range

For $pH = 3$, $[H^+]=10^{-3}\ M$; for $pH = 4$, $[H^+]=10^{-4}\ M$. So the hydrogen - ion concentration range for a pH of 3 - 4 is $10^{-4}\ M<[H^+]<10^{-3}\ M$.

Step4: Check the given options

The option $7\times10^{-4}\ M$ is within the range $10^{-4}\ M<[H^+]<10^{-3}\ M$.

Answer:

$7\times10^{-4}\ M$