Chemical Kinetics Quiz

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Questions and Answers

What describes the concentration change over time for a first-order reaction?

  • It remains constant over time.
  • It decreases exponentially. (correct)
  • It decreases in a parabolic manner.
  • It increases linearly.

Which equation represents the relationship of concentration and time for a first-order reaction?

  • ln[A]t = −kt + ln[A]0 (correct)
  • [A]t = k[A]0
  • [A]t = [A]0e^kt
  • ln[A]t = ln[A]0 + kt

What is the significance of the slope in the first-order reaction plot of ln[A] versus time?

  • It is equal to the rate constant, -k. (correct)
  • It represents the initial concentration.
  • It indicates the total concentration at any time.
  • It shows the maximum possible concentration.

In which scenario would you observe a linear plot of concentration versus time?

<p>If the reaction is zeroth-order. (B)</p> Signup and view all the answers

How does temperature affect the reaction rate according to chemical kinetics?

<p>It generally increases the reaction rate. (A)</p> Signup and view all the answers

What characteristic defines a second-order reaction in terms of time and concentration?

<p>The rate is proportional to the square of the concentration. (B)</p> Signup and view all the answers

What can be determined from an Arrhenius plot?

<p>The activation energy can be derived. (A)</p> Signup and view all the answers

What is the characteristic half-life expression for a first-order reaction?

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

What does the Arrhenius equation express about the rate constant 'k'?

<p>k decreases exponentially with increasing activation energy. (A)</p> Signup and view all the answers

Which of the following statements is true regarding catalysts?

<p>Catalysts change form during the reaction but are recovered at the end. (B)</p> Signup and view all the answers

In the Arrhenius equation, what effect does increasing temperature (T) have on the rate constant (k)?

<p>It increases k exponentially. (B)</p> Signup and view all the answers

What is the purpose of creating an Arrhenius plot?

<p>To find the relationship between rate constant and temperature. (A)</p> Signup and view all the answers

What is the primary role of a biological catalyst?

<p>It facilitates reactions at body temperature. (C)</p> Signup and view all the answers

How does a catalyst alter a chemical reaction?

<p>By lowering the activation energy required. (B)</p> Signup and view all the answers

Which type of catalyst operates in the same phase as the reactants?

<p>Homogeneous catalyst. (B)</p> Signup and view all the answers

What is the significance of the slope in the Arrhenius plot?

<p>It equals -Ea/R. (D)</p> Signup and view all the answers

What is indicated by a linear plot of [A] versus Time in a reaction?

<p>The reaction is zeroth-order. (A)</p> Signup and view all the answers

What happens to the half-life of a second-order reaction over time?

<p>It doubles continuously. (D)</p> Signup and view all the answers

How does an increase in temperature affect chemical reactions according to Collision Theory?

<p>It increases the number of successful collisions. (A)</p> Signup and view all the answers

What is the purpose of a catalyst in a chemical reaction?

<p>To offer a pathway with lower activation energy. (D)</p> Signup and view all the answers

In which type of reaction does the half-life halve continuously during the reaction?

<p>Zeroth-order reaction. (C)</p> Signup and view all the answers

What denotes a first-order reaction when examining a plot of ln[A] versus Time?

<p>A straight line. (B)</p> Signup and view all the answers

What does the Arrhenius equation relate to in chemical kinetics?

<p>Rate constant, activation energy, and temperature. (D)</p> Signup and view all the answers

If a plot of 1/[A] versus Time yields a straight line, what can be concluded?

<p>The reaction is second-order. (A)</p> Signup and view all the answers

What defines the half-life of a first-order reaction?

<p>It is constant and independent of the concentration of the reactant. (D)</p> Signup and view all the answers

Which equation correctly represents the half-life of a second-order reaction?

<p>$t_{1/2} = \frac{1}{k[A]_{0}}$ (D)</p> Signup and view all the answers

What is the shape of the plot for a second-order reaction when graphed as $1/[A]$ versus time?

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

In a second-order reaction, what happens to the half-life as the concentration decreases?

<p>It continuously doubles. (D)</p> Signup and view all the answers

Which of the following statements about half-life in first-order reactions is correct?

<p>It can be calculated using $t_{1/2} = \frac{0.693}{k}$. (B)</p> Signup and view all the answers

Which of the following correctly describes the relationship between rate and concentration in a second-order reaction?

<p>Rate increases with the square of the concentration. (A)</p> Signup and view all the answers

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

<p>$\frac{1}{[A]} = kt + \frac{1}{[A]_{0}}$ (B)</p> Signup and view all the answers

Which of the following best describes a characteristic of half-lives in second-order reactions?

<p>They are a function of the initial reactant concentration. (C)</p> Signup and view all the answers

What is the relationship between the concentration of reactant [A] and time in a zeroth-order reaction?

<p>[A]t decreases linearly over time. (A)</p> Signup and view all the answers

In a zeroth-order reaction, which of the following statements about the rate of reaction is true?

<p>The rate of reaction is constant and equal to k. (B)</p> Signup and view all the answers

What does the slope of the concentration versus time plot in a zeroth-order reaction represent?

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

Which of the following statements about the half-life of a zeroth-order reaction is correct?

<p>The half-life continuously halves as the reaction progresses. (D)</p> Signup and view all the answers

What indicates that a reaction is first-order when analyzing plots of [A]?

<p>The ln[A] versus time plot is linear. (C)</p> Signup and view all the answers

What is a characteristic of reactions occurring at higher temperatures?

<p>They occur faster due to increased energy and collision frequency. (A)</p> Signup and view all the answers

What is the function of activation energy (Ea) in a chemical reaction?

<p>It is the minimum energy needed for reactants to undergo a successful collision. (D)</p> Signup and view all the answers

What happens to the concentration of [A] in a zeroth-order reaction as the reaction progresses?

<p>[A] decreases linearly. (D)</p> Signup and view all the answers

Flashcards

Half-life

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

First-order reaction

A reaction whose rate depends on the concentration of one reactant raised to the first power.

Constant half-life (First-order)

The half-life of a first-order reaction is constant throughout the reaction.

Second-order reaction

A reaction whose rate depends on the concentration of one reactant raised to the second power.

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Variable half-life (Second-order)

The half-life of a second-order reaction depends on the initial concentration.

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Half-life (Second-order)

The time it takes for the reactant in a second-order reaction to decrease to half its starting value.

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Second-order reaction plot

The plot of 1/[A] versus time for a second-order reaction results in a straight line.

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Rate constant (k) from plot

The slope of the straight line in the plot of 1/[A] versus time for a second-order reaction represents the rate constant (k).

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Zeroth-order reaction

A reaction where the rate is independent of the concentration of reactants. The rate law is Rate = k, where k is the rate constant and is a constant value.

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Half-life (t1/2)

The time it takes for the concentration of a reactant to decrease to half its initial value. This is a specific concept used for first-order reactions.

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First-order reaction plot (ln[A] vs time)

A graphical representation of the natural logarithm of concentration ([A]t) against time (t) for a first-order reaction. It yields a straight line with a slope of -k (the rate constant) and a y-intercept of ln[A]0 (the natural logarithm of the initial concentration).

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Arrhenius equation

The relationship between the rate constant (k) and temperature (T) of a reaction. It states that the rate constant increases exponentially with increasing temperature. The equation is k = A*exp(-Ea/RT), where A is the pre-exponential factor, Ea is the activation energy, and R is the gas constant.

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Activation energy (Ea)

The minimum amount of energy required for molecules to react. It's the energy barrier that must be overcome for a reaction to occur. It appears in the Arrhenius equation.

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Arrhenius plot (ln k vs 1/T)

A plot used to determine the activation energy (Ea) of a reaction. It graphs the natural logarithm of the rate constant (ln k) against the reciprocal of the absolute temperature (1/T). The slope of this line is equal to -Ea/R.

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Integrated rate law for zeroth-order reactions

The integrated rate law for a zero-order reaction relates the concentration of the reactant [A] at time t, [A]t, to the initial concentration [A]0 and the rate constant k.

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Half-life of a zero-order reaction

For a zero-order reaction, the half-life continuously decreases with each subsequent half-life, making it half of the previous one.

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Zero-order plot

A plot of concentration [A] versus time for a zero-order reaction yields a straight line with a negative slope. The slope of the line represents the rate constant (k), and the y-intercept represents the initial concentration [A]0.

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Rate constant (k) for a zero-order reaction

The rate constant (k) is the negative of the slope of the concentration versus time plot in a zero-order reaction.

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Determining the order of reaction

Determining the order of a reaction involves plotting concentration data versus time, then analyzing the linearity of the plots. If the concentration versus time plot is linear, the reaction is zero-order. If linear after conversion to ln[A] versus time, the reaction is first-order. If linear after conversion to 1/[A] versus time, the reaction is second-order.

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Temperature dependence of reaction rates

Reactions occur faster at higher temperatures due to increased reactant collisions with sufficient energy and proper orientation.

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Collision theory model

This theory explains how reactions occur through successful collisions between reactant molecules. Successful collisions require sufficient energy (activation energy) and correct orientation of the colliding molecules.

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Activation energy

The minimum energy reactants need to collide and form products.

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Arrhenius Plot

A plot of the natural logarithm of the rate constant (ln k) versus the reciprocal of temperature (1/T). It is used to determine the activation energy (Ea) of a reaction.

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Catalyst

A substance that speeds up a chemical reaction without being consumed itself, and is recovered unchanged at the end of the reaction.

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Alternative pathway of catalysis

The process of a catalyst providing an alternative pathway for a reaction with a lower activation energy, leading to a faster reaction rate.

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Homogeneous catalyst

A catalyst that exists in the same phase as the reactants, such as a catalyst that is in the same solution as the reactants.

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Heterogeneous catalyst

A catalyst that exists in a different phase than the reactants. For example, a solid catalyst in a liquid reaction mixture.

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Effect of temperature on the rate constant

The change in the rate constant of a reaction when the temperature is changed. This change is described by the Arrhenius equation.

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Study Notes

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