Rate Constant and Order of Reaction
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Questions and Answers

For a reaction where the rate is proportional to the square of reactant A's concentration, what happens to the reaction rate if the concentration of A is quadrupled?

  • The rate increases by a factor of 16. (correct)
  • The rate increases by a factor of 4.
  • The rate increases by a factor of 8.
  • The rate remains unchanged.

A reaction's rate equation is given by rate = k[A]^a[B]^b. What do 'a' and 'b' represent in this equation?

  • The stoichiometric coefficients of A and B in the balanced equation.
  • The partial pressures of gases A and B.
  • The orders of reaction with respect to A and B, respectively. (correct)
  • The equilibrium constants for reactants A and B, respectively.

A chemist wants to determine the order of a reaction with respect to a single reactant. Which graphical method would be most suitable?

  • Plotting volume against temperature at constant pressure.
  • Plotting the number of moles of product against the number of moles of reactant.
  • Plotting pressure against volume at constant temperature.
  • Plotting reaction rate against concentration of the reactant. (correct)

A reaction is found to be zero order with respect to reactant C. What does this imply about the reaction rate?

<p>The rate of reaction is independent of the concentration of C. (B)</p> Signup and view all the answers

For a reaction with the rate equation rate = k[A]^2[B], what is the overall order of the reaction?

<p>3 (B)</p> Signup and view all the answers

Which of the following plots can be used to deduce the order of reaction with respect to a single reactant?

<p>Plotting a graph of concentration of reactant against time. (B)</p> Signup and view all the answers

The rate equation for a reaction is rate = k[B]^2. What is the order of the reaction with respect to reactant A?

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

For a first-order reaction, if the initial concentration of a reactant is doubled, what happens to the half-life?

<p>It remains the same. (D)</p> Signup and view all the answers

A reaction's half-life is observed to be constant regardless of the initial concentration. What can be concluded about the reaction order?

<p>It is a first-order reaction. (D)</p> Signup and view all the answers

A reaction between reactants A and B is found to be first order with respect to A and zero order with respect to B. If the concentration of A is doubled and the concentration of B is tripled, what happens to the reaction rate?

<p>The reaction rate doubles. (A)</p> Signup and view all the answers

Consider a reaction where the rate equation is determined to be rate = k[A][B]^2. If the concentration of A is halved and the concentration of B is doubled, what is the resulting change in the reaction rate?

<p>The rate doubles. (A)</p> Signup and view all the answers

The half-life of a first-order reaction is 69.3 seconds. What is the rate constant (k) for this reaction?

<p>$k = 0.01 s^{-1}$ (A)</p> Signup and view all the answers

Under what conditions is the rate constant, k, considered constant for a given reaction?

<p>If the concentration of the reactants is changed. (B)</p> Signup and view all the answers

For a first-order reaction, what does a plot of concentration against time look like?

<p>A curve with a constant half-life. (C)</p> Signup and view all the answers

The rate constant of a first-order reaction is $3.465 \times 10^{-2} s^{-1}$. What is the half-life of the reaction?

<p>20 seconds (B)</p> Signup and view all the answers

What is the half-life of a first-order reaction if it takes 10 minutes for the concentration of the reactant to decrease from 0.8 M to 0.4 M?

<p>10 minutes (C)</p> Signup and view all the answers

A reaction's rate is found to increase by a factor of 2.25 when the concentration of reactant X is increased by a factor of 1.5. What is the order of the reaction with respect to reactant X?

<p>2 (A)</p> Signup and view all the answers

Which statement accurately describes how reaction rate is typically measured for rate equations?

<p>By assessing how quickly the concentration of a reactant decreases. (B)</p> Signup and view all the answers

The rate of a reaction is found to be directly proportional to the square root of the concentration of reactant B. What is the order of the reaction with respect to B?

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

What are the units for the rate of a reaction, as used in rate equations?

<p>mol dm^-3 s^-1 (D)</p> Signup and view all the answers

For the reaction $A + B \rightarrow C$, doubling the concentration of A doubles the reaction rate, while tripling the concentration of B has no effect on the rate. What is the rate equation?

<p>rate = k[A] (D)</p> Signup and view all the answers

A chemist proposes a rate equation based on experimental data. What must be true of this equation?

<p>It is empirically determined and reflects the observed relationship between reactant concentrations and rate. (D)</p> Signup and view all the answers

The rate of a reaction is $0.002$ mol dm$^{-3}$ s$^{-1}$ when the concentration of reactant A is $0.1$ mol dm$^{-3}$. If the reaction is first order with respect to A, what is the rate constant, k?

<p>0.02 s^-1 (D)</p> Signup and view all the answers

Why can't the order of a reaction be determined simply by looking at the balanced chemical equation?

<p>The balanced equation only provides information about the stoichiometry of the reaction, not the reaction mechanism. (D)</p> Signup and view all the answers

Flashcards

Rate proportional to [A]^2

The rate of a reaction is proportional to the square of the concentration of reactant A. Doubling [A] quadruples the rate.

Rate Equation

An equation showing how the rate of reaction depends on the concentrations of reactants.

Order of Reaction

The power to which a reactant's concentration is raised in the rate equation. Indicates how the concentration affects rate.

Zero Order with respect to A

The concentration of A doesn't affect the rate of reaction.

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Overall Order of Reaction

Sum of the individual orders of reactants in the rate equation.

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What is an overall second order reaction?

The order with respect to A is 1, and the order with respect to B is also 1. Hence, the overall order is 2.

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What is an overall first order reaction?

The first order with respect to A and zero order with respect to B, because the concentration of B doesn't affect the rate of the reaction. The reaction is first order overall.

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Rate Constant (k)

A constant of proportionality in the rate equation for a given reaction at a specific temperature. It changes only with temperature or the presence of a catalyst.

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Half-life

The time it takes for the concentration of a reactant to decrease to half its initial value.

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First-order reaction (half-life)

A reaction where the half-life is constant, regardless of the initial concentration.

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First-order half-life characteristic

The half-life is constant.

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Half-life equation (first-order)

t½ = 0.693 / k

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Rate constant equation (first-order)

k = 0.693 / t½

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Half-life example 1

If the half-life of a first order reaction is 300 seconds, calculate the rate constant for the reaction. k = 0.693 / 300 seconds = 0.00231 s-1

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Half-life example 2

If the rate constant of a first order reaction is 7.70 x 10-4 s-1, calculate the half-life of the reaction. t½ = 0.693 / 7.70 x 10-4 s-1 = 899 s

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Half-life units

The units are s-1 because 0.693 has no units, and the units of half-life are seconds (s).

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Reaction Rate

A measure of how quickly reactants are consumed or products are formed, typically expressed in mol dm-3 s-1.

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Experimental Orders

Determined experimentally; cannot be deduced solely from the balanced equation. Shows how rate changes with concentration.

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First Order

The rate of reaction is directly proportional to the concentration of reactant A.

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[A]

Standard notation to represent concentration in moles per cubic decimeter (mol dm-3).

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Study Notes

  • Students should be able to describe rate constant and order of reaction
  • Students should be able to perform calculations to determine the rate constant

Reaction Rate Measurement

  • A chemical reaction transforms reactants into products through changes in chemical bonds, classified into combination, decomposition, and displacement reactions.

    The reaction rate quantifies how fast the reactants convert into products over time and is influenced by several factors including concentration, temperature, surface area, and the presence of catalysts. Understanding the dynamics of these reactions is crucial in fields such as biochemistry, pharmacology, and industrial chemistry, as it aids in optimizing conditions for desired reaction outcomes and efficient production processes.

    rate can be measured by monitoring gas production or reactant concentration changes

  • The rate is usually measured by how fast the concentration of one of the reactants is decreasing

  • The rate of a reaction is measured in terms of how fast the concentration of one of the reactants is falling, with units being mol dm-3 s-1.

  • rate of reaction = change in concentration of reactants or products / time taken for the change

Orders of Reaction

  • Orders of reaction are determined empirically, not derived from the reaction equation.
  • If the rate of a reaction is proportional to the concentration of reactant A, doubling [A] doubles the rate.
  • Rate α [A] can be written as Rate = k[A], where k is the rate constant
  • In symbol terms, Rate α [A]^2 is written as Rate = k[A]^2
  • By doing experiments with A and B, reaction rate relates to concentration

Rate Equation

  • Rate = k[A]^a [B]^b
  • The powers to which concentrations are raised indicate the orders of reaction with respect to each reactant.
  • Orders of reaction will most likely be either 0, 1 or 2

Understanding Reaction Order

  • If the order of reaction with respect to A is 0, the concentration of A does not affect the rate of reaction.

  • Overall order of the reaction equals the sum of the individual orders

  • Example 1: Rate = k[A][B], overall order of reaction is Second order

  • Example 2: Rate = k[B]^2, the reaction is zero order with respect to A and Second order overall

  • Example 3: Rate = k[A], the reaction is first order with respect to A and first order overall

Rate Constant

  • The rate constant (k) is crucial in chemical kinetics as it measures reaction speed at a specific temperature and links reaction rate to reactant concentrations. Influenced by temperature, reactant nature, and catalysts, it is expressed in the rate law [Rate = k [A]^m [B]^n].nts.

    remains constant only if the changing variable is the concentration of reactants, not the temperature.

  • Order of reaction can be deduced by plotting of graph of reaction rate against concentration of reactant.

  • Order of reaction can also be deduced by plotting a graph of concentration of reactant against time

Half-LifeD

  • Half-life is the time it takes for the concentration of a substance to fall to half of its original value.

  • First order reaction half-life remains constant regardless of the initial concentration.

  • Concentration vs. time graph can be used to determine half-life

  • Zero order reaction will be a straight line

  • First order reaction will be a curve with a constant half-life

  • Other order of reaction will be a curve with a non-constant half-life, this means only first order reactions have a constant half-life.

Half life formula

  • k = ln 2/ t1/2 which can be expressed as k = 0.693 / t1/2
  • t1/2 = 0.693 / k

Example calculation

  • Example 1: In the context of a first-order reaction, if the half-life is determined to be 300 seconds, this measurement indicates the time taken for the concentration of the reactant to decrease to half of its initial value. To find the rate constant (k) for this reaction, the equation k = (0.693/half-life) is utilized. Thus, k = (0.693/300) results in a rate constant of 0.00231 s-1, illustrating the relationship between half-life and the speed of the reaction.
  • Example 2: Similarly, for a first-order reaction where the rate constant is given as 7.70 x 10-4 s-1, the half-life can be calculated using the same equation. Here, t1/2 = 0.693 / (7.70 x 10-4) yields a half-life of 900 seconds, indicating how long it takes for half of the reactants to be converted into products in this reaction.
  • Rate= k[A][B]^2 can be deduced by keeping [B] concentration constant between experiments to find out how concentration of A affects the rate
  • By keeping [A] concentration constant between experiments concentration of B can be deduced

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Description

Understand rate constants, reaction orders, and reaction rate measurements. Learn how to measure reaction rates by monitoring gas production or reactant concentration changes and calculating rate constants. Explore the empirical determination of reaction orders and their relationship to reactant concentrations.

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