Download the App!

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

Radioactive plutonium- $239\left(t_{\frac{1}{2}}=2.44 \times 10^{5} \mathrm{yr}\right)$ isused in nuclear reactors and atomic bombs. If there are $5.0 \times 10^{2} \mathrm{g}$ of the isotope in a small atomic bomb, how long will it take for the substance to decay to $1.0 \times 10^{2} \mathrm{g},$ too small an amount for an effective bomb?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$$5.7 \times 10^{5} \mathrm{yr}$$

Chemistry 102

Chapter 6

Chemical Kinetics

Kinetics

Thy S.

February 15, 2021

The initial rate of a reaction depended on concentration of a substance J as follows: Determine the order of the reaction with respect to J and calculate the rate constant.

Rice University

University of Maryland - University College

Brown University

Lectures

22:42

In probability theory, the conditional probability of an event A given that another event B has occurred is defined as the probability of A given B, written as P(A|B). It is a function of the probability of B, the probability of A given B, and the probability of B.

04:55

In chemistry, kinetics is the study of the rates of chemical reactions. The rate of a reaction is the change in concentration of a reactant over time. The rate of reaction is dependent on the concentration of the reactants, temperature, and the activation energy of the reaction.

02:35

Plutonium-239 is a fission…

00:43

Even though plutonium- 239…

03:15

Spent fuel removed from nu…

02:39

Plutonium 239 is used as f…

02:25

Plutonium-239 The half-lif…

00:24

Plutonium-239 $\left(t_{1 …

01:46

How long will it take for …

Hello. So today we're going to be talking about a situation where we have radioactive plutonium. This is a half life off 2.44 times 10 to the fifth years and we start off with fot 500 g and we want to find out. Well, how long is it gonna take to end up with 100 g? So how would we go about this? Well, one way to go about it is the volume for both of these is the same. And the Mueller mass of both is the same because it's the same element so we can figure out the concentration of the final to the concentration off the initial. And in what scenario would this be useful? Well, this is a first order reaction, so we know that the for a first order reaction, the natural log of concentration at some time our final concentration over the concentration that we started off with is equal to negative k times time. And since this is a first order reaction, we can relate. We can figure out the k from the half life because half life is just the natural log of two over K. So How about we substitute in? We can figure out the K and we have the masses and they have the same volume, the same Miller Mass. So that would just be the ratio of the grams. So let's see. So first, let's figure out our rate constant, which which it would be natural log of two over the half life and we see that in this case it's is 2.8 four times 10 to the negative, six years in verse years and then our natural log of the concentrations while our final mass it would just be 1/5, which is 0.2, so you can just take the natural log. So the natural log of point to is negative 1.6 and then we divide that by negative two point 84 times 10 to the negative six and we see that it would take 567 1000 years, which is a lot

View More Answers From This Book

Find Another Textbook

Numerade Educator

03:00

In 3CaCO3 what are the amount of each atoms and molecules?

03:37

1. An inorganic salt is composed of 17.6% sodium, 39.7% chromium…

03:54

Magnesium will also displace copper from copper (II) sulphate solution. If a…

02:37

a. In 1803, John Dalton proposed the first atomic theory, in which he stated…

01:41

Calculate the mass (in grams) of iron that could be warmed from 25 degrees c…

02:08

A person exhales about 11,100L of air per day. That air is 20.0% O2 going in…

01:51

Magnesium chloride is used to make disinfectants, fire extinguishers, paper,…

06:05

Calculate the ΔHrxn/mol Ca for the reaction: Ca (s) + 2 HCl(aq) → CaCl2(aq…

03:47

Draw structural formulas for each of the following molecules, then predict t…

02:12

An chemistry professor stops in every day and orders 250 ml of Sumatran coff…