/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 29 The following equilibrium is est... [FREE SOLUTION] | 91Ó°ÊÓ

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The following equilibrium is established when hydrogen chloride is dissolved in acetic acid. \(\mathrm{HCl}+\mathrm{CH}_{3} \mathrm{COOH} \leftrightarrow \mathrm{Cl}^{-}+\mathrm{CH}_{3} \mathrm{COOH}_{2}^{+}\) The set that characterizes the conjugate acid base pair is a. \(\left(\mathrm{HCl}, \mathrm{CH}_{3} \mathrm{COOH}\right)\) and \(\left(\mathrm{CH}_{3} \mathrm{COOH}_{2}^{+}, \mathrm{Cl}^{-}\right)\) b. \(\left(\mathrm{HCl}, \mathrm{CH}_{3} \mathrm{COOH}_{2}^{+}\right)\)and \(\left(\mathrm{HCl}, \mathrm{CH}_{3} \mathrm{COOH}_{2}^{+}\right)\) and \(\left(\mathrm{CH}_{3} \mathrm{COOH}, \mathrm{Cl}^{2}\right)\) c. \(\left(\mathrm{CH}_{3} \mathrm{COOH}_{2}^{*}, \mathrm{HCl}\right)\) and \(\left(\mathrm{Cl}^{-}, \mathrm{CH}_{3} \mathrm{COOH}\right)\) d. \(\left(\mathrm{HCl}, \mathrm{Cl}^{-}\right)\)and \(\left(\mathrm{CH}_{3} \mathrm{COOH}_{2}^{+}, \mathrm{CH}_{3} \mathrm{COOH}\right)\)

Short Answer

Expert verified
The correct option is d.

Step by step solution

01

Identify the Bronsted-Lowry Acid and Base

In the given reaction \( \mathrm{HCl} + \mathrm{CH}_3 \mathrm{COOH} \leftrightarrow \mathrm{Cl}^- + \mathrm{CH}_3 \mathrm{COOH}_2^+ \), \( \mathrm{HCl} \) donates a proton and becomes \( \mathrm{Cl}^- \), making it the acid. \( \mathrm{CH}_3 \mathrm{COOH} \) accepts a proton to become \( \mathrm{CH}_3 \mathrm{COOH}_2^+ \), making it the base.
02

Define Conjugate Pairs

A conjugate acid-base pair consists of two species that transform into each other by the gain or loss of a proton. Thus, the conjugate pairs here are \( (\mathrm{HCl}, \mathrm{Cl}^-) \) and \( (\mathrm{CH}_3 \mathrm{COOH}, \mathrm{CH}_3 \mathrm{COOH}_2^+) \).
03

Match Conjugate Pairs to Options

Now, check which given options match the determined pairs:- Option d: \((\mathrm{HCl}, \mathrm{Cl}^-)\) and \((\mathrm{CH}_3\mathrm{COOH}_2^+, \mathrm{CH}_3\mathrm{COOH})\) matches our identified conjugate pairs.Thus, option d correctly describes the sets of conjugate acid-base pairs.

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Key Concepts

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

Bronsted-Lowry acid
The Bronsted-Lowry theory is a fundamental concept in chemistry. It describes acids and bases based on their behavior in chemical reactions. According to this theory:
  • An acid is a substance that donates protons (H+ ions) to another substance.
  • A base is a substance that accepts protons.
In the given equilibrium reaction, we can observe this behavior clearly. Hydrogen chloride (HCl) acts as a Bronsted-Lowry acid because it donates a proton to acetic acid, transforming into chloride ion (Cl-).
On the other hand, acetic acid (CH3COOH) demonstrates its role as a Bronsted-Lowry base by accepting the proton donated by HCl. This understanding helps us identify which molecules act as acids or bases in a reaction, making it easier to balance equations and predict reaction outcomes.
proton donation
Proton donation is a key feature of acid-base reactions, particularly in the context of the Bronsted-Lowry theory. The ability of a molecule to donate a proton is what characterizes it as an acid. In a chemical reaction, when an acid donates a proton, it transforms into its conjugate base. For instance:
  • In the reaction \[\mathrm{HCl} + \mathrm{CH}_3\mathrm{COOH} \leftrightarrow \mathrm{Cl}^- + \mathrm{CH}_3\mathrm{COOH}_2^+\]Hydrogen chloride (HCl) donates a proton to acetic acid, turning into chloride ion.
Proton donation alters the balance of charge in the molecule, affecting both the physical and chemical properties. Understanding this concept helps you predict and manipulate reactions that are central to physical chemistry.
Whether you're adjusting pH or synthesizing new compounds, recognizing the role of proton donors is essential.
equilibrium reaction
In physical chemistry, equilibrium reactions are those that can proceed in both directions, meaning reactants are continuously being converted to products and vice versa. This is shown by the double arrow (\(\leftrightarrow\)) in equations. In the context of our exercise:
  • The reaction \[\mathrm{HCl} + \mathrm{CH}_3\mathrm{COOH} \leftrightarrow \mathrm{Cl}^- + \mathrm{CH}_3\mathrm{COOH}_2^+\]involves forward and reverse reactions happening simultaneously.
Reaching equilibrium means that the rates of the forward and reverse reactions are equal, resulting in constant concentrations of reactants and products.
Moreover, equilibrium does not mean that the amounts are equal, but rather stable. These reactions are influenced by changes in concentration, temperature, and pressure, enabling control over the system's behavior.
Understanding equilibrium is essential for predicting how reactions respond to external changes, crucial for designing chemical processes and industrial applications.
physical chemistry
Physical chemistry bridges the gap between physics and chemistry, focusing on the interplay of energy and materials on a molecular and atomic level. It includes the study of reaction mechanisms, thermodynamics, quantum chemistry, and more.
In our context, the equilibrium reaction of HCl and CH3COOH offers a glimpse into how physical chemistry principles explain the behavior of molecules in different states and environments.
  • Reaction kinetics helps us understand the rate of the reaction and factors affecting speeds.
  • Thermodynamics explains how energy is transferred and conserved within these reactions.
Physical chemistry provides the tools to model and predict how chemical systems will respond under varied conditions, which is critical in fields like materials science and biochemistry. Understanding these principles allows chemists to create efficient industrial processes, develop new materials, and innovate in fields like pharmaceuticals.

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Most popular questions from this chapter

(A): For the reaction \(\mathrm{A}+\mathrm{B} \leftrightarrow \mathrm{C}, \mathrm{Kc}=2\). If we start with 1 mol each of \(A, B\), and \(C\) in \(5 L\) flask, then at equilibrium, molar concentration of \(\mathrm{A}\) and \(\mathrm{B}\) decreases and that of \(\mathrm{C}\) increases. (R): Reaction quotient \(\mathrm{Q}>\mathrm{Kc}\) with given quantity of \(\mathrm{A}, \mathrm{B}\), and \(\mathrm{C}\) hence reaction is reversed.

Cyclohexane \(\left(\mathrm{C}_{6} \mathrm{H}_{12}\right)\) undergoes a molecular rearrangement in the presence of \(\mathrm{AlCl}_{3}\) to form methylcyclopentane \(\left(\mathrm{CH}_{3} \mathrm{C}_{5} \mathrm{H}_{9}\right)\), according to the equation \(\mathrm{C}_{6} \mathrm{H}_{12} \rightleftharpoons \mathrm{CH}_{3} \mathrm{C}_{5} \mathrm{H}_{9}\) If \(\mathrm{K}_{\mathrm{C}}=0.143\) at \(25^{\circ} \mathrm{C}\) for this reaction, find the equilibrium concentrations of \(\mathrm{C}_{6} \mathrm{H}_{12}\) and \(\mathrm{CH}_{3} \mathrm{C}_{5} \mathrm{H}_{9}\) if the initial concentrations are \(0.200 \mathrm{M}\) and \(0.100\) M respectively a. \(\left[\mathrm{C}_{6} \mathrm{H}_{12}\right]=0.286\) and \(\left[\mathrm{CH}_{3} \mathrm{C}_{5} \mathrm{H}_{9}\right]=0.016 \mathrm{M}\) b. \(\left[\mathrm{C}_{6} \mathrm{H}_{12}\right]=0.262\) and \(\left[\mathrm{CH}_{3} \mathrm{C}_{5} \mathrm{H}_{9}\right]=0.038 \mathrm{M}\) c. \(\left[\mathrm{C}_{6} \mathrm{H}_{12}\right]=0.186\) and \(\left[\mathrm{CH}_{3} \mathrm{C}_{5} \mathrm{H}_{9}\right]=0.162 \mathrm{M}\) d. \(\left[\mathrm{C}_{6} \mathrm{H}_{12}\right]=0.164\) and \(\left[\mathrm{CH}_{3} \mathrm{C}_{5} \mathrm{H}_{9}\right]=0.621 \mathrm{M}\)

Which of the following statement is/are correct for a reversible reaction? a. At a given temperature both \(Q\) and \(K\) vary with the progress of the reaction. b. When \(Q>K\), the reaction proceeds in backward direction before coming to stand still. c. Reaction quotient (Q) is the ratio of the product or arbitrary molar concentrations of the products to those of the reactants. d. \(Q\) may be \(<>=K\).

Consider the following equilibrium in a closed container: \(\mathrm{N}_{2} \mathrm{O}_{4}(\mathrm{~g}) \leftrightarrow 2 \mathrm{NO}_{2}\) (g). At a fixed temperature, the volume of the reaction container is halved. For this change, which of the following statements holds true regarding the equilibrium constant \((\mathrm{Kp})\) and degree of dissociation \((\alpha)\) ? a. neither \(\mathrm{Kp}\) nor \(\alpha\) changes b. both \(\mathrm{Kp}\) and \(\alpha\) change c. Kp changes but \(\alpha\) does not change d. \(\mathrm{Kp}\) does not change but \(\alpha\) changes.

A weak acid \(\mathrm{HX}\) has the dissociation constant \(1 \times 10^{-5}\) \(\mathrm{M}\). It forms a salt \(\mathrm{NaX}\) on reaction with alkali. The degree of hydrolysis of \(0.1 \mathrm{M}\) solution of \(\mathrm{NaX}\) is a. \(0.1 \%\) b. \(0.01 \%\) c. \(0.0001 \%\) d. \(0.150 \%\)

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