Multiple Choice
For the reaction 3A → B + 2C, the rate constant, k, was determined to be 4.3 × 10⁻³ M·s⁻¹. What is the order of the reaction?
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15. Chemical Kinetics
Rate Law
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In the reaction 3 BrO-(aq) → BrO3-(aq) + 2 Br-(aq), a plot of 1/[BrO-] vs. time is linear. What is the order of the reaction with respect to BrO-?
A
Zero order
B
First order
C
Second order
D
Third order
Verified step by step guidance1
Identify the type of plot given: The problem states that a plot of 1/[BrO-] vs. time is linear.
Recall the relationship between reaction order and the type of plot: For a second-order reaction, a plot of 1/[Reactant] vs. time is linear.
Understand the mathematical expression for second-order reactions: The integrated rate law for a second-order reaction is \( \frac{1}{[A]} = kt + \frac{1}{[A_0]} \), where \([A]\) is the concentration of the reactant, \(k\) is the rate constant, \(t\) is time, and \([A_0]\) is the initial concentration.
Compare the given plot to the integrated rate law: Since the plot of 1/[BrO-] vs. time is linear, it matches the form of the second-order integrated rate law.
Conclude the order of the reaction: Based on the linear plot of 1/[BrO-] vs. time, the reaction is second order with respect to BrO-.
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