Question 14.3: PREDICTING THE DIRECTION OF ACID–BASE REACTIONS If you mix e...

PREDICTING THE DIRECTION OF ACID–BASE REACTIONS

If you mix equal concentrations of reactants and products, which of the following reactions proceed to the right and which proceed to the left?

(a) H_{2}SO_{4}(aq)  +  NH_{3}(aq)  \rightleftharpoons   NH_{4}^{+}(aq)  +  HSO_{4}^{-}(aq)

(b) HCO_{3}^{-}(aq)  +  SO_{4}^{2-}(aq)  \rightleftharpoons   HSO_{4}^{-}(aq)  +  CO_{3}^{2-}(aq)

STRATEGY
To predict the direction of reaction, use the balanced equation to identify the acids and bases, and then use Table 14.1 to identify the stronger acid and the stronger base. When equal concentrations of reactants and products are present, proton transfer always occurs from the stronger acid to the stronger base.

TABLE 14.1 Relative Strengths of Conjugate Acid–Base Pairs

Acid, HA Base, A^{-}
Stronger
acid

Weaker
acid

\left. \begin{matrix} HClO_{4}\\HCl\\H_{2}SO_{4}\\HNO_{3} \end{matrix} \right\}\begin{matrix} Strong  acids:\\100\% dissociated\\in  aqueous\\solution. \end{matrix}

H_{3}O^{+} \left. \begin{matrix} HSO_{4}^{-}\\H_{3}PO_{4} \\HNO_{2}\\HF\\CH_{3}CO_{2}H\\H_{2}CO_{3} \\H_{2}S\\NH_{4}^{+} \\ HCN\\HCO_{3}^{-} \end{matrix} \right\}\begin{matrix}Weak  acids:\\Exist  in  solution \\ as  a  mixture  of\\HA,  A^{–},  and  H_{3}O^{+}. \end{matrix} H_{2}O

\left. \begin{matrix} NH_{3}\\OH^{–}\\H_{2} \end{matrix} \right\}\begin{matrix} Very  weak  acids:\\Negligible  tendency\\to  dissociate . \end{matrix}

\left. \begin{matrix} ClO_{4}^{–}\\Cl^{–}\\HSO_{4}^{–} \\NO_{3}^{-} \end{matrix} \right\}\begin{matrix} Very  weak  bases:\\ Negligible  tendency \\to  be  protonated in\\aqueous  solution. \end{matrix}

H_{2}O \left. \begin{matrix} SO_{4}^{2–}\\H_{2}PO_{4}^{–} \\NO_{2}^{–}\\F^{–}\\ CH_{3}CO_{2}^{–}\\HCO_{3}^{–} \\HS^{–}\\NH_{3}\\CN^{–}\\ CO_{3}^{2-}\end{matrix} \right\}\begin{matrix} Weak  bases:\\Moderate  tendency \\ to  be  protonated  in\\aqueous  solution. \end{matrix} OH^{-}

\left. \begin{matrix} NH_{2}^{–}\\O^{2–}\\H^{-} \end{matrix} \right\}\begin{matrix} Strong  bases:\\100\%  protonated  in\\aqueous solution. \end{matrix}

Weaker
base

Stronger
base

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(a) In this reaction, H_{2}SO_{4}  and  NH_{4}^{+} are the acids, and NH_{3}  and  HSO_{4}^{-} are the bases.
According to Table 14.1, H_{2}SO_{4} is a stronger acid than NH_{4}^{+}  and  NH_{3} is a stronger base than HSO_{4}^{-}. Therefore, NH_{3} gets the proton and the reaction proceeds from left to right.

\underset{Stronger  acid}{H_{2}SO_{4}(aq)}  +  \underset{Stronger  acid}{NH_{3}(aq)}  →  \underset{Weaker  acid}{NH_{4}^{+}(aq)}  +  \underset{Weaker  acid}{HSO_{4}^{-}(aq)}

(b) HCO_{3}^{-}  and  HSO_{4}^{-} are the acids, and SO_{4}^{2-}  and  CO_{3}^{2-} are the bases. Table 14.1 indicates that HSO_{4}^{-} is the stronger acid and CO_{3}^{2-} is the stronger base. Therefore, CO_{3}^{2-} gets the proton and the reaction proceeds from right to left.

\underset{Weaker  acid}{HCO_{3}^{-}(aq)}  +  \underset{Weaker  acid}{SO_{4}^{2-}(aq)}  →  \underset{Stronger  acid}{HSO_{4}^{-}(aq)}  +  \underset{Stronger  acid}{CO_{3}^{2-}(aq)}

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