Concept explainers
Penicillin
(a) 0.187 mol
(b) 127 g
(a)
Interpretation:
The concentration of hydrogen ion in the given solution should be calculated.
Concept introduction:
The dissociation reaction of a weak acid is represented as follows:
The expression for the acid dissociation constant will be as follows:
Here,
Answer to Problem 52QAP
0.020 M
Explanation of Solution
The acid dissociation constant of penicillin is
The molarity of penicillin can be calculated as follows:
Putting the values,
Thus, the concentration of penicillin is 0.258 M.
The molecular formula of penicillin is
The concentration all the species can be calculated using the ICE table as follows:
The expression for
Putting the values,
On rearranging,
Or,
Comparing this with the general quadratic equation as follows:
Solving the quadratic equation,
Putting the values,
Since, the value of x cannot be negative thus, the value of x will be 0.020.
From the ICE table, it is equal to the concentration of hydrogen ion thus,
Therefore, the concentration of hydrogen ion is 0.020 M.
(b)
Interpretation:
The concentration of hydrogen ion in the given solution should be calculated.
Concept introduction:
The dissociation reaction of a weak acid is represented as follows:
The expression for the acid dissociation constant will be as follows:
Here,
Answer to Problem 52QAP
0.02805 M
Explanation of Solution
The mass of penicillin is given as 127 g. The molecular formula of the penicillin is
Now, from mass and molar mass of the
Now, the molarity of
Putting the values,
Thus, the concentration of
The concentration all the species can be calculated using the ICE table as follows:
The expression for
Putting the values,
On rearranging,
Or,
Comparing this with the general quadratic equation as follows:
Solving the quadratic equation,
Putting the values,
Since, the value of x cannot be negative thus, the value of x will be 0.02805.
From the ICE table, it is equal to the concentration of hydrogen ion thus,
Therefore, the concentration of hydrogen ion is 0.02805 M.
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Chapter 13 Solutions
Chemistry: Principles and Reactions
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