Reaction Rate and Rate Law

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Questions and Answers

Over the past century, levels of what gas have been rising?

  • Methane (correct)
  • Oxygen
  • Nitrogen
  • Carbon Dioxide

What is one source of methane?

  • Burning fossil fuels
  • Breakdown of plant materials by certain bacteria in rice paddies (correct)
  • Deforestation
  • Volcanic eruptions

Which of the following is a known source of methane?

  • Sandy soil
  • Wet, oxygen-poor soil (correct)
  • Fertile soil
  • Dry, oxygen-rich soil

What organisms' biological activity contributes to methane production?

<p>Termites (B)</p> Signup and view all the answers

In what part of cows do biochemical reactions produce methane?

<p>Stomachs (D)</p> Signup and view all the answers

What is another name for nitrous oxide?

<p>Laughing gas (A)</p> Signup and view all the answers

How does nitrous oxide form?

<p>Through a chemical process in the soil (C)</p> Signup and view all the answers

How much has methane increased per year recently?

<p>0.5 percent (D)</p> Signup and view all the answers

How much is nitrous oxide rising annually?

<p>One-quarter of a percent (A)</p> Signup and view all the answers

Where does nitrous oxide form

<p>In the soil (B)</p> Signup and view all the answers

Which of these gases is produced in the stomachs of cows?

<p>Methane (D)</p> Signup and view all the answers

Which of these contribute to the production of Methane?

<p>Termites (B)</p> Signup and view all the answers

Which gas has levels that have been rising over the past century?

<p>Methane (D)</p> Signup and view all the answers

Which of the following is NOT a source of methane?

<p>Dry oxygen-rich soil (D)</p> Signup and view all the answers

What type of bacteria is involved in the production of methane in rice paddies?

<p>Specific Bacteria (B)</p> Signup and view all the answers

What chemical compound forms in the soil?

<p>Nitrous Oxide (A)</p> Signup and view all the answers

What is the annual increase rate of nitrous oxide?

<p>About one-quarter percent (D)</p> Signup and view all the answers

Biochemical reactions in which animal's stomach produces methane?

<p>Cows (C)</p> Signup and view all the answers

What soil condition is conducive to methane production?

<p>Wet (D)</p> Signup and view all the answers

Which gas is associated with rice paddies?

<p>Methane (D)</p> Signup and view all the answers

Flashcards

Methane (CH4)

A greenhouse gas whose levels have been increasing over the past century. Recently increasing by about 0.5 percent per year.

Sources of methane

Breakdown of plant material by certain bacteria in rice paddies, wet oxygen-poor soil, the biological activity of termites and biochemical reactions in the stomachs of cows.

Nitrous oxide (N2O)

A greenhouse gas which has been rising annually at the rate of about one-quarter of a percent

Nitrous oxide formation

Forms in the soil through a chemical process.

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Study Notes

Reaction Rate

  • For a reaction 𝑎𝐴+𝑏𝐵→𝑐𝐶+𝑑𝐷, the rate can be expressed as: Rate = −(1/𝑎) * (𝑑[𝐴]/𝑑𝑡) = −(1/𝑏) * (𝑑[𝐵]/𝑑𝑡) = (1/𝑐) * (𝑑[𝐶]/𝑑𝑡) = (1/𝑑) * (𝑑[𝐷]/𝑑𝑡)

Rate Law

  • Defines the relationship between reaction rate and reactant concentrations
  • Expressed as: Rate = 𝑘[𝐴]^𝑥[𝐵]^𝑦, where:
    • x is the order with respect to A
    • y is the order with respect to B
    • x + y is the overall reaction order
    • k is the rate constant

Zero Order Reactions

  • The rate is independent of the concentration of reactant A shown by Rate = 𝑘[𝐴]^0 = k
  • Follows the equation: Rate = −(𝑑[𝐴]/𝑑𝑡) = 𝑘
  • Integrated rate law: [A] = [A]₀ − 𝑘𝑡
  • Half-life equation: 𝑡₁/₂ = [𝐴]₀ / 2𝑘

First Order Reactions

  • Rate is directly proportional to the concentration of one reactant: Rate = 𝑘[𝐴]^1 = 𝑘[𝐴]
  • Rate equation: Rate = −(𝑑[𝐴]/𝑑𝑡) = 𝑘[𝐴]
  • The rate constant is independent from concentration
  • Integrated rate law: ln[𝐴] = ln[𝐴]₀ − 𝑘𝑡 or ln([𝐴]/[𝐴]₀) = −𝑘𝑡 or [𝐴] = [𝐴]₀ * e^(−𝑘𝑡)
  • Half-life equation: 𝑡₁/₂ = ln2 / 𝑘 = 0.693 / 𝑘

Second Order Reactions

  • Rate is proportional to the square of the concentration of one reactant: Rate = 𝑘[𝐴]^2
  • Rate equation: Rate = −(𝑑[𝐴]/𝑑𝑡) = 𝑘[𝐴]^2
  • Integrated rate law: 1 / [𝐴] = 1 / [𝐴]₀ + 𝑘𝑡
  • Half-life equation: 𝑡₁/₂ = 1 / 𝑘[𝐴]₀

Arrhenius Equation

  • Describes the temperature dependence of reaction rates
  • Expressed as: 𝑘 = 𝐴e^(−𝐸a/𝑅𝑇), where:
    • k = rate constant
    • A = frequency factor
    • 𝐸a = activation energy
    • R = gas constant (8.314 J/mol⋅K)
    • T = temperature in Kelvin
  • Logarithmic form of the Arrhenius equation: ln 𝑘 = ln 𝐴 − 𝐸a / 𝑅𝑇

Two-Point Arrhenius Equation

  • Used to find the activation energy by using two experimental data points
  • Equation: ln (𝑘₂/𝑘₁) = (𝐸a/𝑅) * (1/𝑇₁ − 1/𝑇₂)

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