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Note whether hydrolysis occurs for each of the following ions. If hydrolysis does occur, write the chemical equation for it. Then write the equilibrium expression for the acid or base ionization (whichever occurs). a. \(\mathrm{CH}_{3} \mathrm{NH}_{3}^{+}\) b. \(\mathrm{I}^{-}\) c. \(\mathrm{ClO}_{2}^{-}\) d. \(\mathrm{PO}_{4}^{3-}\)

Short Answer

Expert verified
Only \(\mathrm{CH}_3 \mathrm{NH}_3^+\), \(\mathrm{ClO}_2^-\), and \(\mathrm{PO}_4^{3-}\) undergo hydrolysis.

Step by step solution

01

Identify the nature of ions

Look at the ions provided: - \(\mathrm{CH}_3 \mathrm{NH}_3^+\) is the conjugate acid of the weak base methylamine \(\mathrm{CH}_3 \mathrm{NH}_2\). Thus, it can undergo hydrolysis.- \(\mathrm{I}^-\) is the conjugate base of hydriodic acid \(\mathrm{HI}\), a strong acid, so it will not undergo hydrolysis.- \(\mathrm{ClO}_2^-\) is the conjugate base of chlorous acid, a weak acid, so it can undergo hydrolysis.- \(\mathrm{PO}_4^{3-}\) is the conjugate base of phosphoric acid, a weak acid, so it can undergo hydrolysis.
02

Write the hydrolysis equation for ions that hydrolyze

For ions that do undergo hydrolysis, write their chemical reactions:- \(\mathrm{CH}_3 \mathrm{NH}_3^+\): \[\mathrm{CH}_3 \mathrm{NH}_3^+ + \mathrm{H}_2\mathrm{O} \rightleftharpoons \mathrm{CH}_3 \mathrm{NH}_2 + \mathrm{H}_3\mathrm{O}^+\]- \(\mathrm{ClO}_2^-\): \[\mathrm{ClO}_2^- + \mathrm{H}_2\mathrm{O} \rightleftharpoons \mathrm{HClO}_2 + \mathrm{OH}^-\]- \(\mathrm{PO}_4^{3-}\): \[\mathrm{PO}_4^{3-} + \mathrm{H}_2\mathrm{O} \rightleftharpoons \mathrm{HPO}_4^{2-} + \mathrm{OH}^-\]
03

Write the equilibrium expression

Next, write the equilibrium expression for each hydrolysis reaction:- For \(\mathrm{CH}_3 \mathrm{NH}_3^+\): \[K_a = \frac{[\mathrm{CH}_3 \mathrm{NH}_2][\mathrm{H}_3\mathrm{O}^+]}{[\mathrm{CH}_3 \mathrm{NH}_3^+]}\]- For \(\mathrm{ClO}_2^-\): \[K_b = \frac{[\mathrm{HClO}_2][\mathrm{OH}^-]}{[\mathrm{ClO}_2^-]}\]- For \(\mathrm{PO}_4^{3-}\): \[K_b = \frac{[\mathrm{HPO}_4^{2-}][\mathrm{OH}^-]}{[\mathrm{PO}_4^{3-}]}\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Conjugate Acid-Base Pairs
In chemistry, understanding conjugate acid-base pairs is crucial when studying reactions in water, such as hydrolysis. A conjugate acid-base pair consists of an acid and a base differing only by the presence of a proton (H鈦). When a base gains a proton, it becomes its conjugate acid. Similarly, when an acid loses a proton, it forms its conjugate base.
For example, consider the ion \(CH_3 NH_3^+\). This ion is the conjugate acid of the weak base, methylamine (\(CH_3 NH_2\)), as it represents what it becomes after adding a proton. On the other hand, ions like \(I^-\) can be viewed as the conjugate base of strong acids (in this case, the strong acid is hydriodic acid \(HI\)). Such ions typically do not undergo hydrolysis. Understanding these relationships helps predict the behavior of ions in aqueous solutions and whether they are likely to participate in hydrolysis.
This concept is essential in predicting the acid or base nature of a solution when salts dissolve in water, assisting in mapping out reactions and determining pH levels.
Equilibrium Expressions
Equilibrium expressions are an essential tool in chemistry for quantifying the concentrations of reactants and products at equilibrium during a chemical reaction. These expressions help you understand how far a reaction proceeds and the extent of ionization or dissociation that occurs.
When an ion undergoes hydrolysis, writing the chemical equation for this process sets the stage for its corresponding equilibrium expression.
  • H3O+ ionization (acid hydrolysis): In reactions involving ions like \(CH_3 NH_3^+\), the equilibrium expression would involve acid ionization constant \(K_a\). It is represented as \[K_a = \frac{[CH_3NH_2][H_3O^+]}{[CH_3NH_3^+]}\]
  • OH- ionization (base hydrolysis): For ions like \(PO_4^{3-}\), base equilibrium constant \(K_b\) is used, for example, \[K_b = \frac{[HPO_4^{2-}][OH^-]}{[PO_4^{3-}]}\]

Equilibrium expressions essentially provide a mathematical way to determine the concentrations of various ions once equilibrium is established in the solution. The approach helps pinpoint if a system favors the forward reaction to form more products or if it remains mostly unreacted.
Weak Acids and Bases
Weak acids and bases are substances that do not fully dissociate into ions when dissolved in water. Instead, they exist primarily in their original form, with only a small fraction converting into ions. This limited ionization leads to a dynamic equilibrium between the un-ionized and ionized species.
When weak acids and bases engage in hydrolysis, they provide important insights into their behavior in solution.
  • Weak acids: For example, chlorous acid \(HClO_2\) has an equilibrium with its ion \(ClO_2^-\), which undergoes hydrolysis with water to form \(OH^-\) ions. Weak acids typically have greater potential for hydrolysis, resulting in a more basic solution.
  • Weak bases: Consider a substance like \(CH_3NH_2\), which partially ionizes in water, leading to hydrolysis when its conjugate acid \(CH_3NH_3^+\) interacts with water, generating \(H_3O^+\). Here, the solution becomes more acidic.

Understanding weak acids and bases enables accurate predictions of pH changes upon hydrolysis. It's crucial for applications like buffer solutions, where maintaining a stable pH is necessary for processes such as biochemical reactions and industrial applications.

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Most popular questions from this chapter

Calculate the pH of a \(0.15 M\) aqueous solution of aluminum chloride, \(\mathrm{AlCl}_{3}\). The acid ionization of hydrated aluminum ion is \(\mathrm{Al}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}^{3+}(a q)+\mathrm{H}_{2} \mathrm{O}(l)=\) \(\mathrm{Al}\left(\mathrm{H}_{2} \mathrm{O}\right)_{5} \mathrm{OH}^{2+}(a q)+\mathrm{H}_{3} \mathrm{O}^{+}(a q)\) and \(K_{a}\) is \(1.4 \times 10^{-5}\).

Write chemical equations for the acid ionizations of each of the following weak acids (express these in terms of \(\mathrm{H}_{3} \mathrm{O}^{+}\) ). a. \(\mathrm{HCO}_{2} \mathrm{H}\) (formic acid) b. HF (hydrofluoric acid) c. \(\mathrm{HN}_{3}\) (hydrazoic acid) d. HOCN (cyanic acid)

Write chemical equations for the acid ionizations of each of the following weak acids (express these in terms of \(\mathrm{H}_{3} \mathrm{O}^{+}\) ). a. HBrO (hypobromous acid) b. \(\mathrm{HClO}_{2}(\) chlorous acid \()\) c. \(\mathrm{HNO}_{2}\) (nitrous acid) d. HCN (hydrocyanic acid)

A 0.239-g sample of unknown organic base is dissolved in water and titrated with a \(0.135 M\) hydrochloric acid solution. After the addition of \(18.35 \mathrm{~mL}\) of acid, a pH of \(10.73\) is recorded. The equivalence point is reached when a total of \(39.24 \mathrm{~mL}\) of \(\mathrm{HCl}\) is added. The base and acid combine in a 1:1 ratio. a. What is the molar mass of the organic base? b. What is the \(K_{b}\) value for the base? The \(K_{b}\) value could have been determined very easily if a pH measurement had been made after the addition of \(19.62 \mathrm{~mL}\) of HCl. Why?

A chemist prepares dilute solutions of equal molar concentrations of \(\mathrm{NH}_{3}, \mathrm{NH}_{4} \mathrm{Br}, \mathrm{NaF}\), and \(\mathrm{NaCl}\). Rank these solutions from highest \(\mathrm{pH}\) to lowest \(\mathrm{pH}\).

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