According to Bronsted-Lowry acid base definition:
An acid is a proton donor, any species that donates an \(\mathrm{H}^{+}\) ion. An acid must contain \(\mathrm{H}\) in its formula. An acid donates a proton to water.
A base is a proton acceptor, any species that accepts an \(\mathrm{H}^{+}\) ion.
A base must contain a lone pair of electrons to bind the \(\mathrm{H}^{+}\) ion.
The base accepts a proton from water.
Provided reaction is \(\mathrm{H}_{2} \mathrm{Y}^{-}+\mathrm{H}_{2} \mathrm{Z}^{-} \longleftrightarrow \mathrm{H}_{3} \mathrm{Y}+\mathrm{HZ}^{2-}\)
\(\mathrm{H}_{2} \mathrm{Y}^{-}\) receives one proton, so this is by definition actsas Bronstedbase.
\(\mathrm{H}_{2} \mathrm{Z}^{-}\) donates oneproton,so this is by definition acts as Bronsted acid.
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