Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

10 Questions

0 Views

Chemistry Reaction Rates and Laws

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the integrated rate law expression for a second-order reaction?

[A] = [A]_0 - kt

ln[A] = ln[A]_0 - kt

t_{1/2} = k[A]_0

1/[A] = 1/[A]_0 + kt (correct)

What does the half-life of a zero-order reaction depend on?

The temperature alone.

The activation energy.

Only the rate constant.

The initial concentration and the rate constant. (correct)

In the context of the Arrhenius equation, what does the symbol $E_a$ represent?

The equilibrium constant.

The universal gas constant.

The activation energy. (correct)

The rate constant.

Which of the following equations represents the half-life for a first-order reaction?

t_{1/2} = rac{0.693}{k} Signup and view all the answers

What is the form of the rate equation for a zero-order reaction?

Rate = k Signup and view all the answers

For a first-order reaction, how does the natural logarithm of the concentration change over time?

$ln[A] = ln[A]_0 - kt$ Signup and view all the answers

What occurs to the rate constant $k$ as the temperature increases, based on the Arrhenius equation?

It increases exponentially. Signup and view all the answers

Which of the following expressions correctly represents the half-life of a zero-order reaction?

$t_{1/2} = rac{[A]_0}{2k}$ Signup and view all the answers

In a second-order reaction, how does the concentration relate to time according to the integrated rate law?

$rac{1}{[A]} = kt + rac{1}{[A]_0}$ Signup and view all the answers

How does the activation energy $E_a$ affect the rate constant $k$ according to the linear Arrhenius form?

Higher $E_a$ decreases $k$ at any temperature. Signup and view all the answers

Study Notes

Reaction Rates and Integrated Rate Laws

Reaction Rate: The rate of a reaction is expressed as the change in concentration of a reactant or product per unit time. The equation is: d[A]/dt = k[A]^m[B]^n, where k is the rate constant, [A] and [B] are reactant concentrations, and m and n are the reaction orders (typically integers).

Zero-Order Reaction

Integrated Rate Law: [A] = [A]₀ - kt (where [A]₀ is the initial concentration of A)
Half-life: t_1/2 = [A]₀ / 2k

First-Order Reaction

Integrated Rate Law: ln[A] = ln[A]₀ - kt
Half-life: t_1/2 = 0.693 / k

Second-Order Reaction

Integrated Rate Law: 1/[A] = 1/[A]₀ + kt
Half-life: t_1/2 = 1 / k[A]₀

Arrhenius Equation

Equation: k = Ae^-Ea/RT
describes the temperature dependence of the rate constant, k, where:
A = pre-exponential factor
Ea = activation energy
R = ideal gas constant
T = absolute temperature

Linear Arrhenius Form

Equation: ln k = -Ea/RT + ln A
This form of the Arrhenius equation allows for determination of activation energy by plotting ln k vs 1/T.

Integrated Rate Laws (Summary)

Zero-Order: [A] = [A]₀ - kt
First-Order: ln[A] = ln[A]₀ - kt
Second-Order: 1/[A] = 1/[A]₀ + kt

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

This quiz covers the concepts of reaction rates and integrated rate laws, focusing on zero, first, and second-order reactions. It includes the Arrhenius equation and discusses the mathematical relationships governing these reactions, helping students understand how to calculate reaction rates and half-lives effectively.