Question
2 Calculate the hydroryle ion concentration
) of each of the following solutions
Ask by Mccoy Erickson. in South Africa
Nov 10,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The hydroxide ion concentration of the solution with a pH of 3 is
.
Solution
To calculate the hydroxide ion concentration (
) of each of the given solutions, we can use the relationship between pH and pOH, which is given by:
Given that
, we can calculate the pOH using the formula above:
Now, we can calculate the hydroxide ion concentration (
) using the formula:
Substitute the value of pOH into the formula to find the hydroxide ion concentration.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
The hydroxide ion concentration () of the solution with a pH of 3 is .
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The Deep Dive
To find the hydroxide ion concentration
given the pH, you can use the relationship between pH and
. First, calculate
from pH using the formula
. For a pH of 3,
mol/dm³. Now, use the ionic product of water
mol²/dm⁶ to find
:
Now, you have
.
It’s essential to understand that in acidic solutions (like this one with a pH of 3), the concentration of hydroxide ions becomes much lower than that of hydrogen ions, reflecting the inverse relationship described by the ion product of water.