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Chapter 16: Problem 24

What is the reaction order if the reaction rate triples when the concentration of a reactant is increased by a factor of 3\(?\)

Short Answer

Expert verified
The reaction order is 1.

Step by step solution

01

Understand the question and define reaction order

The order of a reaction is a term derived from the rate equation (rate = k[reactant]^n) that describes how the rate of a reaction depends on the concentration of its reactants. The exponent n is the order of reaction with respect to that reactant.
02

Relating rate and concentration

According to the question, when the concentration of the reactant is increased three times (i.e., new concentration = 3 * old concentration), the reaction rate also triples (i.e., new rate = 3 * old rate). This implies that the reaction rate is directly proportional to the change in concentration.
03

Find the order of reaction

Since the rate of reaction is directly proportional to the concentration change (tripling the concentration triples the reaction rate), we infer that the reaction order is 1. This means when the concentration of the reactant is doubled, the rate of the reaction also doubles; if the concentration is tripled, the rate of the reaction also triples, as the question stated.

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Most popular questions from this chapter

In the reaction $$2 \mathrm{NO}(g)+\mathrm{Br}_{2}(g) \rightarrow 2 \mathrm{NOBr}(g)$$ doubling the \(\mathrm{Br}_{2}\) concentration doubles the rate, but doubling the NO concentration quadruples the rate. Write the rate law.

How do enzymes differ from other catalysts?

Sketch a diagram showing how the potential energy changes with the progress of an endothermic reaction. Label the curve "Initial state, ". Final state," and "Transition state." Then, draw a second curve to show the change brought about by a catalyst.

The following reaction is first order. $$\left(\mathrm{CH}_{2}\right)_{3}(g) \rightarrow \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}_{3}(g)$$ What change in reaction rate would you expect if the pressure of \(\left(\mathrm{CH}_{2}\right)_{3}\) doubled?

Explain the difference between a reaction rate and a rate law.
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