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Concept explainers
Calculate the pH of a 2.00 M NH4CN solution.
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Interpretation:
The pH of a 2.00 M
Concept Information:
Acid ionization constant
The equilibrium expression for the reaction
Where
Base ionization constant
The equilibrium expression for the ionization of weak base
Where
Relationship between
pH definition:
The concentration of hydrogen ion is measured using
The
To Calculate: The pH of a 2.00 M
Answer to Problem 15.121QP
The pH of 2.00 M
Explanation of Solution
We examine the hydrolysis of the cation and anion separately
Hydrolysis of cation:
Initial |
2.00 -x 2.00-x | ||
Change | |||
Equilibrium |
Concentration of hydronium ion:
The
We know that
Using the obtained
Therefore, the hydronium ion concentration
Hydrolysis of anion:
Initial |
2.00 -y 2.00-y | ||
Change | |||
Equilibrium |
Concentration of hydroxide ion:
The
We know that
Using the obtained
Therefore, concentration of hydroxide ion is
pH calculation:
Some
Initial |
0 | ||
Change | |||
Equilibrium |
The pH can be calculated as follows,
Therefore, the pH of the given
The pH of a 2.00 M
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