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One-molar solutions of the following acids are prepared: \(\mathrm{CH}_{3} \mathrm{COOH}, \mathrm{HNO}_{2}, \mathrm{HClO},\) and \(\mathrm{HCl}\) a. Rank them in order of decreasing \(\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]\) b. Rank them in order of increasing strength as acids (weakest to strongest).

Short Answer

Expert verified
Question: Arrange the given acids in order of decreasing hydronium ion concentration and increasing strength as acids: Acetic acid (\(\mathrm{CH}_{3}\mathrm{COOH}\)), nitrous acid (\(\mathrm{HNO}_{2}\)), hypochlorous acid (\(\mathrm{HClO}\)), and hydrochloric acid (\(\mathrm{HCl}\)). Answer: The given acids ranked in order of decreasing hydronium ion concentration \([\mathrm{H}_{3}\mathrm{O}^{+}]\) are: \(\mathrm{HCl}, \mathrm{HNO}_{2}, \mathrm{CH}_{3}\mathrm{COOH}, \mathrm{HClO}\). The ranking by increasing strength as acids (weakest to strongest) is: \(\mathrm{HClO}, \mathrm{CH}_{3}\mathrm{COOH}, \mathrm{HNO}_{2}, \mathrm{HCl}\).

Step by step solution

01

Understanding the given acids

We are given four acids - acetic acid (\(\mathrm{CH}_{3}\mathrm{COOH}\)), nitrous acid (\(\mathrm{HNO}_{2}\)), hypochlorous acid (\(\mathrm{HClO}\)), and hydrochloric acid (\(\mathrm{HCl}\)). We will analyze their acidity based on their dissociation constants (\(K_a\)) - the higher the \(K_a\), the stronger the acid.
02

Finding the dissociation constants

The dissociation constants of the given acids are as follows: - Acetic acid (\(\mathrm{CH}_{3}\mathrm{COOH}\)): \(K_a = 1.8 \times 10^{-5}\) - Nitrous acid (\(\mathrm{HNO}_{2}\)): \(K_a = 4.5 \times 10^{-4}\) - Hypochlorous acid (\(\mathrm{HClO}\)): \(K_a = 3.0 \times 10^{-8}\) - Hydrochloric acid (\(\mathrm{HCl}\)): Since HCl is a strong acid, it completely dissociates in water and does not have a \(K_a\) value. Now, we can rank the acids by comparing their dissociation constants.
03

Ranking by hydronium ion concentration

A higher \(K_a\) value indicates more dissociation, and thus, higher hydronium ion concentration \([\mathrm{H}_{3}\mathrm{O}^{+}]\). Therefore, we can rank them in the following order: 1. Hydrochloric acid (\(\mathrm{HCl}\)) 2. Nitrous acid (\(\mathrm{HNO}_{2}\)) 3. Acetic acid (\(\mathrm{CH}_{3}\mathrm{COOH}\)) 4. Hypochlorous acid (\(\mathrm{HClO}\))
04

Ranking by acid strength

Acid strength is directly proportional to the \(K_a\) value. Therefore, the ranking for acid strength (weakest to strongest) will be the reverse of the previous ranking: 1. Hypochlorous acid (\(\mathrm{HClO}\)) 2. Acetic acid (\(\mathrm{CH}_{3}\mathrm{COOH}\)) 3. Nitrous acid (\(\mathrm{HNO}_{2}\)) 4. Hydrochloric acid (\(\mathrm{HCl}\)) So, the given acids ranked in order of decreasing \([\mathrm{H}_{3}\mathrm{O}^{+}]\) are: \(\mathrm{HCl}, \mathrm{HNO}_{2}, \mathrm{CH}_{3}\mathrm{COOH}, \mathrm{HClO}\), and the ranking by increasing strength as acids (weakest to strongest) is: \(\mathrm{HClO}, \mathrm{CH}_{3}\mathrm{COOH}, \mathrm{HNO}_{2}, \mathrm{HCl}\).

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Key Concepts

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

Dissociation Constants
Dissociation constant, denoted as \(K_a\), is a numeric value that helps us understand how easily an acid ionizes in water to produce hydronium ions \([\mathrm{H}_3o}^{+}]\).
In simpler terms, it measures the strength of an acid. The larger the \(K_a\), the more the acid dissociates, meaning it releases more \([\mathrm{H}_3o}^{+}]\) ions into the solution.When dealing with a weak acid, only a small amount of it dissociates, reflected in a small \(K_a\) value. - For example, the \(K_a\) of acetic acid \((\mathrm{CH}_3o}_{\mathrm{COOH}]\) is \(1.8 \times 10^{-5}\). The dissociation process for weak acids is reversible and doesn't go to completion.For strong acids like hydrochloric acid \((\mathrm{HCl])\), the dissociation is virtually complete, hence they don't have a specific \(K_a\) and are instead assumed to fully dissociate in solution.
Hydronium Ion Concentration
Hydronium ions \([\mathrm{H}_3o}^{+}]\) are produced when acids dissolve in water, affecting the acidity of the solution. In a one-molar solution of acid, the concentration of hydronium ions directly corresponds to the strength of the acid. - The greater the concentration, the stronger the acidity. For insignificant concentrations, weak acids dissociate minimally and produce fewer hydronium ions. These acids have a smaller \(K_a\) and weak contribution to the acidity of the solution.Conversely, strong acids with large dissociation constants significantly increase hydronium concentration. This increase is because strong acids, like \(\mathrm{HCl}],\) dissociate almost completely, releasing copious amounts of hydronium ions compared to weak acids. Therefore, knowing the hydronium concentration helps us infer the acid's dissociation level and strength.
Weak and Strong Acids
Understanding the difference between weak and strong acids is fundamental in chemistry.Weak Acids: - Exhibit low or moderate \(K_a\) values.- Only partially ionize in solution.- Maintain an equilibrium between dissociated ions and undissociated molecules.Examples include acetic acid and hypochlorous acid, which both show limited dissociation compared to stronger acids.Strong Acids:- Characterized by high, often undefined \(K_a\) values due to full dissociation.- Remove the equilibrium stance and dissociate completely in aqueous solutions.Hydrochloric acid is a quintessential strong acid revealing the greatest hydronium ion concentration upon dissociation. The demarcation between weak and strong acids is crucial as it determines the behavior of acids in chemical reactions, predicting their ionization pattern, and hydrogen ion contribution to solutions.

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Most popular questions from this chapter

Calculate the \(\mathrm{pH}\) and \(\mathrm{pOH}\) of solutions with the following \(\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]\) or \(\left[\mathrm{OH}^{-}\right]\) values. Indicate which solutions are acidic, basic, or neutral. a. \(\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=5.3 \times 10^{-3} \mathrm{M}\) b. \(\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=3.8 \times 10^{-9} \mathrm{M}\) c. \(\left[\mathrm{H}_{3} \mathrm{O}^{+}\right]=7.2 \times 10^{-6} \mathrm{M}\) d. \(\left[\mathrm{OH}^{-}\right]=1.0 \times 10^{-14} \mathrm{M}\)

Early Antiseptic The use of phenol, also known as carbolic acid, was pioneered in the 19 th century by Sir Joseph Lister (after whom Listerine was named) as an antiseptic in surgery. Its formula is \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{OH}\) (the red hydrogen atom is ionizable). Write the mass action expression for the acid ionization equilibrium of phenol.

The \(K_{a_{1}}\) value for oxalic acid (HOOCCOOH) is \(5.9 \times 10^{-2},\) and the \(K_{2,}\) value is \(6.4 \times 10^{-5} .\) What are the values of \(K_{\mathrm{b}_{1}}\) and \(K_{\mathrm{b}_{2}}\) of the oxalate anion \(\left(-\mathrm{OOCCOO}^{-}\right) ?\)

Identify the conjugate acid of each of the following species: \(\left(\mathrm{CH}_{3}\right)_{3} \mathrm{N}, \mathrm{CH}_{3} \mathrm{COO}^{-}, \mathrm{HSO}_{4}^{-},\) and \(\mathrm{OH}^{-}\)

Calculate the indicated value based on the information given: a. What is the \(K_{\mathrm{b}}\) of the lactate ion? The \(K_{\mathrm{a}}\) of lactic acid is \(1.4 \times 10^{-4}\) b. What is the \(K_{\mathrm{b}}\) of the conjugate base of pyruvic acid? The \(K_{a}\) of pyruvic acid is \(2.8 \times 10^{-3} .\) c. What is the \(K_{2}\) of the conjugate acid of aniline? Aniline has a \(K_{\mathrm{b}}\) of \(5.9 \times 10^{-4}\) d. Quinine has two basic nitrogen atoms in its structure. The \(K_{\mathrm{b}}\) of the most basic nitrogen atom is \(3.3 \times 10^{-6} .\) What is the \(K_{a}\) of the HCl salt of that nitrogen atom?

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