Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

The half-life of a reaction of compound $A$ to give compounds $D$ and $E$ is 8.50 min when the initial concentration of $A$ is $0.150 \mathrm{~mol} / \mathrm{~L}$. How long will it take for the concentration to drop to $0.0300 \mathrm{~mol} / \mathrm{~L}$ if the reaction is (a) first order with respect to $A$ or (b) second order with respect to $A ?$

A. 19.75 minutesB. 34 minutes

Chemistry 102

Chapter 12

Kinetics

Drexel University

University of Kentucky

Brown University

University of Toronto

Lectures

22:42

In probability theory, the…

04:55

In chemistry, kinetics is …

01:00

A first order reaction $A …

05:42

A first-order reaction is …

05:13

05:24

A flask contains a mixture…

07:45

In the first-order reactio…

01:28

What is the half-life of a…

01:22

For a first-order reaction…

02:51

01:36

What is the half-life (in …

06:52

08:41

The first-order reaction $…

01:44

For the reaction $\mathrm{…

06:29

A reaction of the type $A …

03:32

A decomposition reaction h…

04:04

The tabulated data were co…

04:39

The reaction $$A \longrigh…

01:19

What is the half-life for …

04:01

For the reaction $A \longr…

02:31

01:52

Consider the first-order r…

love one, This is Ricky. And today we're working on problem number 42 and we have to calculate e time. It will take for concentration to drop 2.3 miles a Moler into scenarios if the reactions for a shorter with respect to a or second order with respect to pay. So we have an equation A mix tape, D plus e. Yeah, we haven't a knot, um, of 0.15 Mueller, we have a final concentration of points. 300 Molin. And so if we go through scenario A where I am isn't one. We have 1/2 life formula of equals. One have of 0.6 93 over. Okay. And we are going to solve for Kay. So K is equal to 693 over there have. All right, so we Hi. We also know that the half life is equal to 8.5 minutes. So if we plug this into our formula, we get where 815 Her minute is our great constant. Now, let's put this into the integrated rate law for a for a first order equation. So we have natural log A. It's equal to negative. Katie plus national log The nonce rearranged to solve for T C T is equal to natural log of a knot minus natural of a all over K. Now we can plug plug in our initial plug in her final conflict in our okay value when we get that time is equal to 1928 minutes. All right, Now we have to do the same thing when this is a second order reaction. Okay, so let's solve for our you're a very constant. So we have won over K. Time's a knot is equal to you. Are half life equation rearranged to sulfur case okay is equal to, um K is equal to one over half life times a knot. If we plug and chug, we get that K is equal to 0.784 Her Moeller per minutes is equal to K. Now, what we want to do is plug into the integrated rate law and then solve for tea. So we got one over a people to katie plus one over a knot rearranged the sulfur T so t is equal to t is equal to one over a minus one over a knots. In this entire quantity is divided by K. We plug in shock when we get that T is equal to 34 minutes. So I hope this video was helpful.

View More Answers From This Book

Find Another Textbook

In probability theory, the conditional probability of an event A given that …

In chemistry, kinetics is the study of the rates of chemical reactions. The …

A first order reaction $A \longrightarrow$ products has a half-life of 13.9 …

A first-order reaction is 75.0$\%$ complete in $320 .$ s.a. What are the…

A first-order reaction is $75.0 \%$ complete in $320 .$ s.a. What are th…

A flask contains a mixture of compounds $A$ and $B$. Both compounds decompos…

In the first-order reaction $A \longrightarrow$ products, $[\mathrm{A}]=0.81…

What is the half-life of a compound if 75 percent of a given sample of the c…

For a first-order reaction, how long will it take for the concentration of r…

What is the half-life (in minutes) of the reaction in Problem12.50$?$ Ho…

What is the half-life (in days) of the reaction in Problem12.55 when the…

The first-order reaction $A \longrightarrow$ products has a halflife, $t_{1 …

For the reaction $\mathrm{A} \rightarrow$ products, successive half-lives ar…

A reaction of the type $A \rightarrow B+C$ has a rate constant $k=3.6 \times…

A decomposition reaction has a rate constant of 0.0012 $\mathrm{yr}^{-1}$ . …

The tabulated data were collected for this reaction at a certaintemperat…

The reaction $$A \longrightarrow B+C$$ is known to be zero order in A and to…

What is the half-life for the decomposition of ${O}_{3}$ when the concentrat…

For the reaction $A \longrightarrow$ products, the following data were obtai…

What is the half-life for the decomposition of NOCl when the concentration o…

Consider the first-order reaction $A \rightarrow B$ in which A molecules (re…

00:57

A compound containing zinc, aluminum, and sulfur crystallizes with a closest…

00:35

What is the coordination number of an aluminum atom in the face-centered cub…

01:33

Determine the phase changes that carbon dioxide undergoes as the pressure ch…

Which of the systems described in Exercise 13.16 give homogeneous equilibria…

04:12

The free space in a metal may be found by subtracting the volume of the atom…

01:32

Calculate the volume of oxygen required to burn 12.00 $L$ of ethane gas, $C_…

04:10

The following data have been determined for the reaction: ${I}^{-}+{OCl}^{-}…

04:24

Write the mathematical expression for the reaction quotient, $Q_{c}$ for eac…

01:07

A sample of 0.53 g of carbon dioxide was obtained by heating 1.31 $\mathrm{g…

02:39

Rank the compounds in each of the following groups in order of increasing ac…