Which of the following linear plots do you expect for a reaction A⟶products if the kinetics are a. zero order, [Section 14.3]

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Identify the order of the reaction: The problem states that the reaction is zero order.

Recall the integrated rate law for a zero-order reaction: [A] = [A]_0 - kt, where [A] is the concentration of A at time t, [A]_0 is the initial concentration, k is the rate constant, and t is time.

Determine the linear plot: For a zero-order reaction, plotting [A] versus time (t) will yield a straight line.

Understand the slope and intercept: The slope of the line is -k, and the y-intercept is [A]_0.

Conclude the expected plot: Therefore, the expected linear plot for a zero-order reaction is [A] versus time (t).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Zero-Order Kinetics

In zero-order kinetics, the rate of reaction is constant and independent of the concentration of the reactant. This means that the reaction proceeds at a steady rate until the reactant is depleted. The rate law for a zero-order reaction can be expressed as Rate = k, where k is the rate constant.

Integrated Rate Law

The integrated rate law for a zero-order reaction relates the concentration of the reactant to time. It is given by the equation [A] = [A]₀ - kt, where [A] is the concentration at time t, [A]₀ is the initial concentration, and k is the rate constant. This linear relationship indicates that a plot of [A] versus time will yield a straight line.

Graphical Representation of Reaction Order

For zero-order reactions, plotting the concentration of the reactant [A] against time results in a linear graph with a negative slope. The slope of this line is equal to -k, providing a visual representation of the reaction's kinetics. Understanding this graphical representation is crucial for identifying the order of a reaction based on experimental data.

Related Practice

Textbook Question

Given the following diagrams at 𝑡=0 min and 𝑡=30 min, b. After four half-life periods for a first-order reaction, what fraction of reactant remains? [Section 14.3]

Textbook Question

The following graph shows two different reaction pathways for the same overall reaction at the same temperature. Is each of the following statements true or false? (b) For both paths, the rate of the reverse reaction is slower than the rate of the forward reaction.

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Textbook Question

The accompanying graph shows plots of ln k versus 1/𝑇 for two different reactions. The plots have been extrapolated to the y-intercepts. Which reaction (red or blue) has b. the larger value for the frequency factor, A? [Section 14.4]

Textbook Question

Consider the diagram that follows, which represents two steps in an overall reaction. The red spheres are oxygen, the blue ones are nitrogen, and the green ones are fluorine. d. Write the rate law for the overall reaction if the first step is the slow, rate-determining step. [Section 14.5]

Textbook Question

Suppose that for the reaction K+L⟶M, you monitor the production of M over time, and then plot the following graph from your data: b. Is the reaction completed at 𝑡=15 min?

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Textbook Question

The following diagrams represent mixtures of NO(g) and O2(𝑔). These two substances react as follows:

2 NO(𝑔)+O2(𝑔)⟶2 NO2(𝑔)

It has been determined experimentally that the rate is second order in NO and first order in O2. Based on this fact, which of the following mixtures will have the fastest initial rate? [Section 14.2]

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