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Exercises · 6.39

Q.The species: H2O, HCO3 –, HSO4 – and NH3 can act both as Brönsted acids and bases. For each case give the corresponding conjugate acid and base.

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Amphiprotic species can donate or accept a proton. For each species, the conjugate acid is formed by adding H+\text{H}^+ and the conjugate base by removing H+\text{H}^+: H2O⇌H3O+/OH−\text{H}_2\text{O} \rightleftharpoons \text{H}_3\text{O}^+ / \text{OH}^-, HCO3−⇌H2CO3/CO32−\text{HCO}_3^- \rightleftharpoons \text{H}_2\text{CO}_3 / \text{CO}_3^{2-}, HSO4−⇌H2SO4/SO42−\text{HSO}_4^- \rightleftharpoons \text{H}_2\text{SO}_4 / \text{SO}_4^{2-}, NH3⇌NH4+/NH2−\text{NH}_3 \rightleftharpoons \text{NH}_4^+ / \text{NH}_2^-.

The Brønsted–Lowry theory defines acids as proton donors and bases as proton acceptors. A conjugate pair differs by exactly one proton: when an acid donates H+\text{H}^+, what remains is its conjugate base; when a base accepts H+\text{H}^+, it becomes its conjugate acid.

Species that can both donate and accept protons are called amphiprotic (or amphoteric in the Brønsted sense). They sit in the middle of a conjugate acid-base trio. To find the conjugate acid of any species, imagine it accepting a proton—add H+\text{H}^+. To find the conjugate base, imagine it donating a proton—remove H+\text{H}^+.

Let's work through each species systematically.


1. Water, H2O\text{H}_2\text{O}

Water is the textbook amphiprotic molecule.

As a Brønsted base (accepting H+\text{H}^+):

H2O+H+⟶H3O+\text{H}_2\text{O} + \text{H}^+ \longrightarrow \text{H}_3\text{O}^+

The conjugate acid is the hydronium ion, H3O+\text{H}_3\text{O}^+.

As a Brønsted acid (donating H+\text{H}^+):

H2O⟶H++OH−\text{H}_2\text{O} \longrightarrow \text{H}^+ + \text{OH}^-

The conjugate base is the hydroxide ion, OH−\text{OH}^-.


2. Bicarbonate ion, HCO3−\text{HCO}_3^-

This ion plays a central role in blood buffering and carbonate equilibria.

As a Brønsted base (accepting H+\text{H}^+):

HCO3−+H+⟶H2CO3\text{HCO}_3^- + \text{H}^+ \longrightarrow \text{H}_2\text{CO}_3

The conjugate acid is carbonic acid, H2CO3\text{H}_2\text{CO}_3.

As a Brønsted acid (donating H+\text{H}^+):

HCO3−⟶H++CO32−\text{HCO}_3^- \longrightarrow \text{H}^+ + \text{CO}_3^{2-}

The conjugate base is the carbonate ion, CO32−\text{CO}_3^{2-}.


3. Hydrogen sulfate ion, HSO4−\text{HSO}_4^-

Sulfuric acid is diprotic, and HSO4−\text{HSO}_4^- is its intermediate form.

As a Brønsted base (accepting H+\text{H}^+):

HSO4−+H+⟶H2SO4\text{HSO}_4^- + \text{H}^+ \longrightarrow \text{H}_2\text{SO}_4

The conjugate acid is sulfuric acid, H2SO4\text{H}_2\text{SO}_4.

As a Brønsted acid (donating H+\text{H}^+):

HSO4−⟶H++SO42−\text{HSO}_4^- \longrightarrow \text{H}^+ + \text{SO}_4^{2-}

The conjugate base is the sulfate ion, SO42−\text{SO}_4^{2-}.

Note

In aqueous solution, HSO4−\text{HSO}_4^- is a moderately strong acid (Ka≈10−2K_a \approx 10^{-2}), so it more readily acts as an acid than a base under typical conditions.


4. Ammonia, NH3\text{NH}_3

Ammonia is usually thought of as a base, but it can donate a proton under strongly basic conditions.

As a Brønsted base (accepting H+\text{H}^+): …

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