Lesson 03: Rate Law or Rate Expression

Lesson 127/175 | Study Time: 30 Min
Course: Chemistry XI
Lesson 03: Rate Law or Rate Expression

Learning Outcomes



i. Define the concept of a rate law and explain its significance in understanding chemical kinetics.



ii. Differentiate between the rate constant and the order of reaction.



iii. Describe the procedure for determining the rate law of a chemical reaction using experimental data.



iv. Interpret the coefficients in a rate law, which represent the order of reaction with respect to each reactant.



v. Apply the understanding of rate laws to predict the effect of changing reactant concentrations on the reaction rate.



 



Introduction



In the dynamic realm of chemical reactions, the rate at which reactants transform into products is a crucial aspect. The concept of the rate law provides a quantitative relationship between the reaction rate and the concentrations of the reactants involved. Understanding rate laws is essential for predicting the behavior of chemical reactions, optimizing industrial processes, and designing effective catalysts.



A rate law is a mathematical expression that relates the rate of a chemical reaction to the concentrations of the reactants participating in the reaction. It is typically written in the following form:



Rate = k[A]^m[B]^n



where:




  • Rate represents the speed of the reaction, often expressed in units of moles of reactant consumed per second (M/s) or changes in concentration per unit time (M/s or mol/L/s).

  • k is the rate constant, a proportionality constant that depends on the specific reaction and temperature.

  • [A]^m and [B]^n represent the concentrations of reactants A and B raised to the powers m and n, respectively. These powers are known as the orders of reaction with respect to A and B.



Determining the rate law of a chemical reaction involves conducting experiments at different concentrations of the reactants and measuring the corresponding reaction rates. By analyzing the data, the orders of reaction with respect to each reactant can be determined, and the rate constant can be calculated.



i. Interpreting Rate Laws



The coefficients in a rate law, the powers of the reactant concentrations, provide valuable insights into the reaction mechanism. The order of reaction with respect to a particular reactant indicates the number of molecules of that reactant that must collide and interact simultaneously for the reaction to occur. For instance, a first-order reaction involves the collision of one reactant molecule, while a second-order reaction requires the collision of two reactant molecules.



ii. Predicting Reaction Rates



Once the rate law for a reaction is established, it can be used to predict the reaction rate under different conditions. By knowing the rate constant, the initial concentrations of the reactants, and the temperature, the rate of the reaction can be calculated. This ability to predict reaction rates is crucial in optimizing industrial processes and designing effective catalysts.



Rate laws, fundamental tools in chemical kinetics, provide a quantitative understanding of the relationship between reaction rates and reactant concentrations. Determining and interpreting rate laws allow us to predict the behavior of chemical reactions, optimize industrial processes, and design effective catalysts. The concept of rate laws highlights the interplay between reaction mechanisms and the macroscopic behavior of chemical reactions.



 

Ahmed Hassan

Ahmed Hassan

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Class Sessions

1- Lesson 01: Mole and Avogadro's Number 2- Lesson 02: Mole Calculations 3- Lesson 03: Percentage Composition 4- Lesson 04: Excess and Limiting Reagents 5- Lesson 05: Theoretical Yield and Actual Yield as Percentage 6- Lesson 01: Discharge Tube Experiments 7- Lesson 02: Application of Bohr's Model 8- Lesson 03: Derivation of Radius, Energy, Frequency, Wave Length, Wave Number 9- Lesson 04: Spectrum of Hydrogen Atom 10- Lesson 05: Defects of Bohr's Theory 11- Lesson 06: Planck's Quantum Theory 12- Lesson 07: Postulates With Derivation of E =hcν 13- 14- 15- 16- 17- Lesson 08: X-Rays Production, Properties, and Uses 18- Lesson 09: X-rays and Atomic Number 19- Lesson 10: Moseley's Experiment 20- Lesson 11: Moseley's Law 21- Lesson 12: Quantum Numbers and Orbitals 22- Lesson 13: Principle Quantum Number 23- Lesson 14: Azimuthal Quantum Number 24- Lesson 15: Magnetic Quantum Number 25- Lesson 16: Spin Quantum Number 26- Lesson 17: Shapes of s, p, and d Orbitals 27- Lesson 18: Electronic Configuration 28- Lesson 19: Aufbau Principle 29- Lesson 20: Pauli's Exclusion Principle 30- Lesson 21: Hund's Rule 31- Lesson 22: Bonus Lesson: Electron Configurations of Elements 32- Lesson 01: Shapes of Molecules 33- Lesson 02: Resonance 34- Lesson 03: Theories of Covalent Bonding 35- Lesson 04: Bond Characteristics 36- Lesson 05: Bond Energy 37- Lesson 06: Bond Length 38- Lesson 07: Ionic Character 39- Lesson 08: Dipole Moment 40- Lesson 09: Effect of Bonding on Physical and Chemical Properties 41- Lesson 10: Solubility of Ionic and Covalent Compounds 42- Lesson 11: Reactions of Ionic and Covalent Compounds 43- Lesson 12: Directional and Non-Directional Nature of Ionic and Covalent Bonds 44- Lesson 01: Kinetic Molecular Theory of Gases 45- Lesson 02: Postulates of Kinetic Molecular Theory 46- Lesson 03: Pressure and Its Units 47- Lesson 04: Absolute Temperature Scale on the Basis of Charles Law 48- Lesson 05: Brief Recall of Boyle’s and Charles’ Law 49- Lesson 06: Graphical Explanation of Absolute Zero 50- Lesson 07: Avogadro’s Law 51- Lesson 08: Ideal Gas Equation Derivation 52- Lesson 09: Gas Constant and Its Units 53- Lesson 10: Deviation From Ideal Gas Behavior 54- Lesson 11: Graphical Explanation of Deviations 55- Lesson 12: Causes for Deviation 56- Lesson 13: Van der Waals Equation 57- Lesson 14: Volume Correction 58- Lesson 15: Pressure Correction 59- Lesson 16: Dalton’s Law of Partial Pressure 60- Lesson 17: Graham’s Law of Diffusion and Effusion 61- Lesson 18: Liquefaction of Gases 62- Lesson 19: Joule-Thomson Effect 63- Lesson 20: Linde’s Method of Liquefaction of Gases 64- Lesson 21: Fourth State of Matter: Plasma 65- Lesson 01: Kinetic Molecular Interpretation of Liquids 66- Lesson 02: Simple Properties of Liquids 67- Lesson 03: Intermolecular Forces (Vander Waals Forces) 68- Lesson 04: Dipole-Dipole Interaction 69- Lesson 05: Hydrogen Bonding 70- Lesson 06: London Forces 71- Lesson 07: Energetics of Phase Changes 72- Lesson 08: Molar Heat of Fusion, Molar Heat of Vaporization, Molar Heat of Sublimation 73- Lesson 09: Energy Changes and Intermolecular Attractions 74- Lesson 10: Change of State and Dynamic Equilibrium 75- Lesson 11: Liquid Crystals, Brief Description and their Uses from Daily Life 76- Lesson 01: Kinetic Molecular Interpretation of Solids 77- Lesson 02: Simple Properties of Solids Describing Vibration of Molecules, Intermolecular Forces, Kinetic Energy 78- Lesson 03: Types of Solids; Amorphous, Crystalline 79- Lesson 04: Properties of Crystalline Solids 80- Lesson 05: Melting Point 81- Lesson 06: Cleavage Plane 82- Lesson 07: Habit of Crystal 83- Lesson 08: Crystal Growth 84- Lesson 09: Anisotropy 85- Lesson 10: Isomorphism 86- Lesson 11: Polymorphism 87- Lesson 12: Allotropy 88- Lesson 13: Transition Temperature 89- Lesson 14: Crystal Lattice 90- Lesson 15: Unit Cell 91- Lesson 16: NaCl Crystal 92- Lesson 17: Lattice Energy 93- Lesson 18: Types of Crystalline Solids 94- Lesson 19: Ionic Solids 95- Lesson 20: Covalent Solids 96- Lesson 21: Metallic Solids 97- Lesson 22: Molecular Solids 98- Lesson 01: Reversible Reactions and Dynamic Equilibrium 99- Lesson 02: Concept and Explanation 100- Lesson 03: Law of Mass Action and Expression for Equilibrium Constant 101- Lesson 04: Relationship between Kc, Kp, Kx, Kn 102- Lesson 05: Importance of K and Reaction Quotient 103- Lesson 06: Factors Affecting Equilibrium ( Le-Chatelier’s Principle ) 104- Lesson 07: Effect of Change in Concentration 105- Lesson 08: Effect of Change in Pressure or Volume 106- Lesson 09: Effect of Change in Temperature 107- Lesson 10: Industrial Application of Le-Chatelier’s Principle (Haber’s Process) 108- Lesson 11: Solubility Product and Precipitation Reactions 109- Lesson 12: Common Ion Effect 110- Lesson 01: Acidic, Basic and Amphoteric Substances 111- Lesson 02: Bronsted-Lowry Definitions of Acids and Bases 112- Lesson 03: Proton Donors and Acceptors 113- Lesson 04: Relative Strength of Acids and Bases 114- Lesson 05: Conjugate Acid-Base Pairs 115- Lesson 06: Expressing the Strength of Acids and Bases 116- Lesson 07: Ionization Equation of Water 117- Lesson 08: pH, pOH and pKw 118- Lesson 09: Acid Ionization Constant, Ka and pKa 119- Lesson 10: Leveling Effect 120- Lesson 11: Base Ionization Constant, Kb and pKb 121- Lesson 12: Relationship of Ka and Kb 122- Lesson 13: Lewis Definitions of Acids and Bases 123- Lesson 14: Buffer Solutions and their Applications 124- Lesson 15: Salt Hydrolysis 125- Lesson 01: Chemical Kinetics 126- Lesson 02: Rates of Reactions 127- Lesson 03: Rate Law or Rate Expression 128- Lesson 04: Elementary and Overall Rate Constant and Units 129- Lesson 05: Order of Reaction and its Determination 130- Lesson 06: Factors Affecting Rate of Reaction 131- Lesson 07: Collision Theory, Transition State and Activation Energy 132- Lesson 08: Catalysis 133- Lesson 09: Characteristics of Catalysts 134- Lesson 10: Homogeneous Catalysis 135- Lesson 11: Heterogeneous Catalysis 136- Lesson 12: Enzyme Catalysis 137- Lesson 01: General Properties of Solutions 138- Lesson 02: Solution, Suspension and Colloids 139- Lesson 03: Hydrophilic and Hydrophobic Molecules 140- Lesson 04: The Nature of Solutions in the Liquid Phase 141- Lesson 05: The Effect of Temperature and Pressure on Solubility 142- Lesson 06: Concentration Units 143- Lesson 07: Percent, Molarity, Molality, Mole Fraction 144- Lesson 08: Parts per million, billion, and trillion 145- Lesson 09: Raoult's Law 146- Lesson 10: Non-Volatile Non-Electrolyte Solutes in Volatile Solvents 147- Lesson 12: Colligative Properties of Dilute Solutions 148- Lesson 11: When Both Components are Volatile 149- Lesson 13: Vapor Pressure Lowering 150- Lesson 14: Boiling Point Elevation and Freezing Point Depression 151- Lesson 15: Molar Mass Determination by Vapor Pressure Lowering, Boiling 152- Lesson 16: Point Elevation and Freezing Point Depression 153- Lesson 17: Osmotic Pressure and Reverse Osmosis 154- Lesson 18: Colloids 155- Lesson 19: Properties of Colloids 156- Lesson 20: Types of Colloids 157- Lesson 01: Energy in Chemical Reactions 158- Lesson 02: Thermodynamics 159- Lesson 03: Internal Energy 160- Lesson 04: First Law of Thermodynamics 161- Lesson 05: Standard State and Standard Enthalpy Changes 162- Lesson 06: Heat Capacity 163- Lesson 07: Calorimeter 164- Lesson 08: Hess's Law: Enthalpy Change Calculations 165- Lesson 09: Born-Haber Cycle 166- Lesson 01: Oxidation-Reduction Concepts 167- Lesson 02: Oxidation and Reduction 168- Lesson 03: Oxidation Numbers 169- Lesson 04: Recognizing Oxidation Reduction Reactions 170- Lesson 05: Balancing Oxidation Reduction Equations by Oxidation Number Method 171- Lesson 06: Balancing Oxidation Reduction Equations by the Half Reaction Method 172- Lesson 07: Chemistry of Some Important Oxidizing and Reducing Agents 173- Lesson 08: Electrode, Electrode Potential and Electrochemical Series 174- Lesson 09: Types of Electrochemical Cells 175- Lesson 10: Electrolytic Cells