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Ionization of Water and Acid-Base Chemistry

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Ionization of Water and Acid-Base Chemistry

Introduction

This section covers the fundamental principles of water ionization, acid-base equilibria, and their significance in biochemistry. Understanding these concepts is essential for analyzing biochemical reactions, physiological pH regulation, and buffer systems in living organisms.

Ionization of Water

Water as a Reactant

  • Ionization: Water (H2O) can ionize to form hydronium (H3O+) and hydroxide (OH-) ions.

  • Nucleophiles and Electrophiles: Electron-rich molecules are called nucleophiles and react with electron-deficient molecules called electrophiles.

  • The oxygen atom in water acts as a nucleophile due to its two pairs of unshared electrons.

  • One water molecule can donate a lone pair to the hydrogen of another, resulting in bond rearrangement and ion formation.

Ionization Reaction and Equilibrium

  • The ionization of water can be represented as:

  • More accurately, hydronium ion is formed:

  • The equilibrium constant for this reaction is:

  • Since the concentration of water is essentially constant, the product is defined as (the ion product of water):

  • At 25°C and 1 atm, M2.

  • In pure water, M$

Acidity and Basicity

  • A solution is neutral if .

  • Acidic if .

  • Basic if .

Calculating Ion Concentrations

  • If is known, can be calculated:

  • Example: If M, then M.

pH Scale

Definition and Calculation

  • The pH is defined as the negative logarithm (base 10) of the hydrogen ion concentration:

  • Conversely,

  • The pH scale typically ranges from 0 (very acidic) to 14 (very basic).

  • Each unit change in pH represents a tenfold change in .

Strong Acids and Bases

Complete Dissociation

  • Strong acids (e.g., HCl) and strong bases (e.g., NaOH) dissociate completely in water.

  • For 0.1 M HCl: M, M.

  • For 0.1 M NaOH: M, M.

  • pH calculation example:

Weak Acids and Bases

Partial Dissociation and Equilibrium

  • Weak acids only partially dissociate in water.

  • The dissociation of a weak acid (HA) is represented as:

  • The acid dissociation constant () quantifies the extent of dissociation:

  • The larger the , the stronger the acid.

  • p is the negative logarithm of $K_a$:

  • The lower the p, the stronger the acid.

Example Table: Acid Strengths

Acid

Conjugate Base

p

Acetic acid (CH3COOH)

CH3COO-

1.76 × 10-5

4.76

Formic acid (HCOOH)

HCOO-

1.78 × 10-4

3.75

Lactic acid (CH3CH(OH)COOH)

CH3CH(OH)COO-

1.38 × 10-4

3.86

Phosphoric acid (H3PO4)

H2PO4-

7.5 × 10-3

2.12

Carbonic acid (H2CO3)

HCO3-

4.5 × 10-7

6.35

Buffer Solutions

Definition and Importance

  • Buffers are solutions that resist changes in pH upon addition of small amounts of acid or base.

  • They are essential in biological systems to maintain stable pH, e.g., blood (pH 7.4), intracellular fluid.

  • Buffers are typically made by mixing a weak acid with its conjugate base.

Buffer Action and Le Chatelier's Principle

  • When H+ is added, the conjugate base neutralizes it, minimizing pH change.

  • When OH- is added, the weak acid neutralizes it, again minimizing pH change.

  • This is explained by Le Chatelier's Principle: the system shifts to counteract the disturbance.

Henderson-Hasselbalch Equation

  • The relationship between pH, p, and the ratio of conjugate base to acid is given by:

  • Best buffering occurs when , i.e., pH = p.

  • Effective buffering range: pH within ±1 unit of p.

Buffer Preparation Example

  • To prepare 1 L of 0.1 M acetate buffer at pH 5.82 (p = 4.8):

  • Use the Henderson-Hasselbalch equation to solve for the ratio :

  • Mix 91 mL acetic acid and 909 mL sodium acetate to make 1 L buffer.

Biological Buffer Systems

  • Bicarbonate buffer: Regulates blood pH; involves HCO3- and CO2.

  • Phosphate buffer: Important for intracellular pH regulation.

  • Protein buffer: Amino acids in proteins contribute to buffering due to their ionizable groups.

Polyprotic Acids

  • Some acids have more than one ionizable hydrogen (e.g., phosphoric acid, H3PO4).

  • Each ionization step has its own p value.

Acid

First p

Second p

Third p

Phosphoric acid (H3PO4)

2.2

7.2

12.7

Key Concepts Summary

  • Water self-ionizes to a small extent, producing H+ and OH- ions.

  • The pH scale is logarithmic and measures hydrogen ion concentration.

  • p is a logarithmic measure of acid strength.

  • Buffers are mixtures of weak acids and their conjugate bases, resisting pH changes.

  • The Henderson-Hasselbalch equation relates pH, p, and buffer composition.

  • Biological buffers are crucial for maintaining physiological pH and proper biochemical function.

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