# The reaction A ----> B is a first order reaction in [A]. Consider the following data:

## Question:

The reaction {eq}A \rightarrow B {/eq} is a first order reaction in A.

Consider the following data:

{eq}Time (s) \ \ \ \ \ \ \ 0.0 \ \ \ \ \ \ \ 5.0 \ \ \ \ \ \ \ 10.0 \ \ \ \ \ \ \ 15.0 \ \ \ \ \ \ \ 20.0 \\ [A] (M) \ \ \ \ \ \ \ \ \ 0.20 \ \ \ \ \ 0.14 \ \ \ \ \ 0.10 \ \ \ \ \ \ 0.07 \ \ \ \ \ \ 1 0.050 {/eq}

The rate constant for this reaction is _____{eq}s^{-1}. {/eq}

## First Order Reaction:

The kinetics of a particular chemical reaction directly depend on the overall ''order'' of its known rate law expression. Through this expression, you can see how a change in the reactant concentrations will change the instantaneous reaction rate. In some cases, there may be no dependence. It depends on the exponential ''order'' of each reactant concentration term, with the overall order being a sum of those values. A first order reaction is one of the simplest rate laws possible, in which the integrated form of the rate law produces a smooth exponential decay in concentration for the reactant of interest.

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We are given the following reaction in the question:

{eq}A \rightarrow B {/eq}

If this reaction is a first order reaction in ''A,'' then the rate... First-Order Reactions: Definition & Mathematical Representation

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Chapter 19 / Lesson 6
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In this lesson, we'll talk about first-order reactions like radioactive decay. We'll use the mathematical descriptions of these reactions to discuss their behavior.