# The rate constant for the first-order conversion of A to B is 3.33 hr^-1. How much time will be...

## Question:

The rate constant for the first-order conversion of A to B is 3.33 hr^-1. How much time will be required for the concentration of A to reach 75% of its original value?

## First Order Reaction:

The first order reaction gives us rate of change in the concentration of only one reactant in a chemical reaction.

The general equation of first order reaction is given by

{eq}\begin{align*} [A] = [A_o] \ e^{-kt} \end{align*} {/eq}

• A is the concentration of the reactant after time t
• Ao is the initial concentration of the reactant
• k is the rate constant

Become a Study.com member to unlock this answer! Create your account

Given:

The rate constant for the first-order conversion of A to B is {eq}k = 3.33 hr^{-1} {/eq}.

Let the initial concentration of A be {eq}A_o...

First-Order Reactions: Definition & Mathematical Representation

from

Chapter 19 / Lesson 6
24K

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.