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Acids and Bases: Definitions, Strength, Equilibria, and Applications

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Acids and Bases

Definitions of Acids and Bases

Acids and bases are fundamental concepts in chemistry, with several definitions used to describe their behavior in solution. The Arrhenius and Brønsted-Lowry definitions are most commonly used in general chemistry.

  • Arrhenius Acid: Produces hydronium ion (H3O+) when dissolved in water.

  • Arrhenius Base: Produces hydroxide ion (OH–) when dissolved in water.

  • Brønsted-Lowry Acid: Proton donor; can donate H+ to another molecule or ion.

  • Brønsted-Lowry Base: Proton acceptor; must have a lone pair of electrons to accept H+.

Conjugate acid-base pairs are species that differ by one proton (H+), found on opposite sides of a reaction.

Hydronium ion formation from HCl and water Examples of monoprotic, diprotic, and triprotic acids Acidic hydrogen atoms bonded to electronegative atoms Ammonia reacting with water to produce OH- ions Proton transfer in acid-base reaction Base accepting H+ from acid Reversible acid-base reaction and conjugate pairs Examples of conjugate acid-base pairs

Acid and Base Strength

The strength of an acid or base is determined by its ability to donate or accept protons. Strong acids and bases dissociate completely in water, while weak acids and bases only partially dissociate.

  • Strong acids: Nearly 100% dissociated in water.

  • Weak acids: Less than 100% dissociated.

  • Strong bases: High affinity for protons.

  • Weak bases: Low affinity for protons.

  • Polyprotic acids: Undergo stepwise dissociation; each successive dissociation is less favored.

  • Inverse relationship: The stronger the acid, the weaker its conjugate base, and vice versa.

Relative strengths of acids and conjugate bases Strong acid gives weak conjugate base Weak acid gives strong conjugate base Proton-transfer equilibrium favors formation of weaker acid and base Proton-transfer reaction between phosphate ion and water

Acid Dissociation Constants (Ka)

The acid dissociation constant (Ka) quantifies the extent of dissociation for a weak acid in water. It is derived from the equilibrium constant for the reaction:

  • Ka expression:

  • Strong acids: Ka >> 1 (dissociation favored)

  • Weak acids: Ka << 1 (dissociation not favored)

  • Polyprotic acids: Successive Ka values decrease

Equilibrium constant for acid dissociation Acid dissociation constant definition Table of acid dissociation constants

Water as Both an Acid and a Base (Amphoteric)

Water can act as both an acid and a base, a property called amphoterism. It can donate or accept protons depending on the reacting species.

  • Ion-product constant for water (Kw):

  • Acidic solution: [H3O+] > 10–7 M

  • Neutral solution: [H3O+] = 10–7 M

  • Basic solution: [H3O+] < 10–7 M

Water acting as acid with base Water acting as base with acid Calculation of OH- concentration from H3O+

Measuring Acidity: The pH Scale

The pH scale is a logarithmic measure of the hydronium ion concentration in solution, ranging typically from 0 to 14.

  • pH formula:

  • Reverse formula:

  • Acidic: pH < 7

  • Neutral: pH = 7

  • Basic: pH > 7

  • pH + pOH = 14.00

Calculation of H3O+ from OH- Calculation of pH from pOH Acid-base indicator color changes

Working with pH

Conversions between pH and [H3O+] involve logarithms and antilogarithms. The number of significant figures in pH and [H3O+] is important for accurate calculations.

Significant figures in logarithms and antilogarithms Calculation of OH- and H3O+ concentrations

Acid and Base Equivalents

Acid and base equivalents are used to quantify the neutralization capacity of a solution. Normality (N) is the number of equivalents per liter.

  • Equivalent of acid: Amount containing 1 mole of H+

  • Equivalent of base: Amount containing 1 mole of OH–

  • Normality:

Calculation of equivalents for H2S Calculation of equivalents and normality for H2SO4

Common Acid-Base Reactions

Acids and bases participate in several important reactions, including neutralization, reactions with carbonates, and reactions with ammonia or amines.

  • Neutralization: Acid reacts with base to form water and salt.

  • Acids with carbonates: Produce CO2 gas and water.

  • Acids with ammonia/amines: Produce ammonium salts.

CO2 bubbles from acid-carbonate reaction Acid with hydroxide ion reaction Net ionic equation for acid-base neutralization Acid with bicarbonate reaction Acid with carbonate reaction Acid with carbonate reaction Acid with ammonia reaction Acid with amine reaction

Acidity and Basicity of Salt Solutions

Salt solutions can be acidic, basic, or neutral depending on the ions present and their origins from strong or weak acids and bases.

  • Salt of strong acid + weak base: Acidic solution

  • Salt of weak acid + strong base: Basic solution

  • Salt of strong acid + strong base: Neutral solution

  • Salt of weak acid + weak base: pH depends on which ion reacts more with water

Acidity and basicity of salt solutions table

Buffer Solutions

Buffers are solutions that resist drastic changes in pH when small amounts of acid or base are added. They typically consist of a weak acid and its conjugate base.

  • Henderson-Hasselbalch equation:

  • Effective buffer: pKa close to desired pH, [HA]/[A–] ratio near 1, and buffer components much greater than added acid/base.

Buffer solution pH stability graph Henderson-Hasselbalch equation Table of organic acids and pKa values Buffer pH calculation using Henderson-Hasselbalch equation

Titration

Titration is a technique used to determine the total acid or base concentration in a solution by reacting it with a solution of known concentration.

  • Neutralization reaction: One mole of acid reacts with one mole of base.

  • Molarity calculation:

  • Normality calculation:

Flow diagram for acid-base titration Flow diagram for acetic acid titration Calculation of acetic acid concentration in titration

Concept Map

The concept map summarizes the relationships between acid-base definitions, strengths, and concentrations, as well as their determination and applications.

Acids and bases concept map

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