Clutch Prep is now a part of Pearson
Ch.13 - Chemical KineticsWorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds
Intro to Chemical Kinetics
Energy Diagrams
Factors Influencing Rates
Average Rate of Reaction
Stoichiometric Rate Calculations
Instantaneous Rate
Collision Theory
Arrhenius Equation
Rate Law
Reaction Mechanism
Integrated Rate Law

When we include the variable of time to our Rate Law then we obtain the Integrated Rate Laws. 

Understanding the Integrated Rate Laws

Concept #1: Zero-Order Integrated Rate Law

Example #1: A plot of [NO3] vs time with a slope of 0.260 gives a straight line. What was the initial concentration of NO3 if after 35 seconds its concentration dropped to 2.75 x 10-2 M?

Concept #2: First-Order Integrated Rate Law

Example #2: A certain reaction has a rate constant of 0.289 s-1. How long (seconds) would it take for the concentration of reactant A to decrease from 1.43 M to 0.850 M?

Concept #3: Second-Order Integrated Rate Law

Example #3: The reactant concentration for a second-order reaction was 0.670 M after 300 s and 7.3 x 10-2 M after 750 s. What is the rate constant k for this reaction?

Practice: For the reaction A →  B, the rate constant is 0.0837 M–1•sec–1. How long would it take for [A] to decrease by 85%?

Practice: The following reaction has a rate constant of 3.7 × 10–3 M•s–1 at 25°C:

A → B + C

Calculate the concentration of C after 2.7 × 103 sec where [A]0 was 0.750 M at 25°C; assume [C]0 = 0 M.

Practice: For the decomposition of urea, NH2CONH2 (aq) + H+(aq) + 2 H2O (l) → 2 NH4+ (aq) + HCO3 (aq), the rate constant is 3.24 × 10–4 s–1 at 35°C. The initial concentration of urea is 2.89 mol/L. What fraction of urea has decomposed after 3.5 minutes?

Practice: Iodine-123 is used to study thyroid gland function. As this radioactive isotope breaks down, after 5.7 hrs the concentration of iodine-123 is 56.3% complete. Find the rate constant of this reaction.