
Concept explainers
Interpretation:
How much water is needed to be added to 10 mL of a solution of HCl with a pH of 3 to change the pH to 6 must be explained.
Concept introduction:
The pH of solution is related to hydrogen ion concentration is as follows:
Here, pH is changed by 1 unit when [H+] changes 10 fold as pH is a logarithmic scale.
990 mL of water must be added to 10 mL of a solution of HCl with a pH of 3 to change the pH to 6.
When pH is increased from 3 to 6 then it is an increase of pH by 3 units. This means the concentration of H+ is decreased by 103 fold. Initially,
Final
So, new volume of the solution must be 1000 times as compared to the initial volume.
So extra water which needs to be added
Thus, 990 mL of water must be added.

Answer to Problem 4E
990 mL of water must be added to 10 mL of a solution of HCl with a pH of 3 to change the pH to 6.
Explanation of Solution
When pH is increased from 3 to 6 then it is an increase of pH by 3 units. This means the concentration of H+ is decreased by 103 fold. Initially,
Final
So, new volume of the solution must be 1000 times as compared to the initial volume.
So extra water which needs to be added
Thus, 990 mL of water must be added.
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