Question
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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:
  • 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.

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