Complete question:
Assume that five weak acids, identified only by numbers (1, 2, 3, 4, and 5) have the following ionization constants: A1 - Ka = 1.0 x 10-3 A2 - Ka = 3.0 x 10-5 A3 - Ka = 2.6 x 10-7 A4 - Ka = 4.0 x 10-9 A5 - Ka = 7.3 x 10-11
The anion of which acid is the strongest base? a) A2 b) A5 c) A3 d) A1 e) A4
Answer:
(B) The anion with the strongest base is A5
Explanation:
Acidity of a solution depends on the concentration of H⁺
[tex]K_a = \frac{[H^+]^2}{[HA]}[/tex]
Assuming a constant solution molarity (HA), then
[tex]H^+ = \sqrt{K_a}[/tex] pH = -Log{H⁺]
For A1: [tex]H^+ = \sqrt{1X10^{-3}} =0.0316[/tex], pH = 1.5
For A2: [tex]H^+ = \sqrt{3X10^{-5}} =0.00548[/tex], pH = 2
For A3: [tex]H^+ = \sqrt{2.6X10^{-7}} =0.000509[/tex] pH = 3
For A4: [tex]H^+ = \sqrt{4X10^{-9}} =0.0000633[/tex] pH = 4
For A5: [tex]H^+ = \sqrt{7.3X10^{-11}} =0.00000854[/tex] pH = 5
From the calculation above, the strongest acid is A1 and the weakest Acid is A5.
Therefore, the anion with the strongest base is A5