There are two radioactive elements, elements A and B. Element A decays into element B with a decay constant of 5/yr,and element B decays into the nonradioactive isotope of element C with a decay constant of 2/yr. An initial mass of 1 kgof element A is put into a nonradioactive container, with no other source of elements A, B, and C. How much of each ofthe three elements is in the container after t yr? (The decay constant is the constant of proportionality in the statementthat the rate of loss of mass of the element at any time is proportional to the mass of the element at that time.)Write the equation for the mass, m(t), for each element based on time.mA (t) =mB (t) =mc(t) =

Law of Decay A = A0e-kt Where A is the amount after time t A0 is initial amount k is the decay…

Answered: There are two radioactive elements,…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?
lodine-131, with a half-life of 8.04 days, is used in the treatment of thyroid disorders. Assuming that none of the material is excreted from the body, what percentage of iodine-131 still will be present in the body one week after ingesting a small amount of material? 53.7% 54.7% 55.7% 56.7% What percentage of iodine-131 still will be present in the body 30 days after ingesting a small amount of material? 7.5% 8.0% 8.5% 9.0%
A radioactive isotope is released into the air as an industrial by-product. This isotope is not very stable due to radioactive decay. Two-thirds of the original radioactive material loses its radioactivity after each month. If 13 grams of this isotope are released into the atmosphere at the end of the first and every subsequent month and the situation goes on ad infinitum, how many grams of radioactive material are in the atmosphere at the end of each month in the long run?
Calculate the solubility of MCl in water taking activity effects into account. As MCl dissolves, the ionic strength increases so there is a feedback effect: when MCl dissolves, it increases μ, which decreases activity coefficients, which allows more MCl to dissolve, which increases μ, which... You will have to solve this recursively. Repeat the cycle of calculations until you get two successive answers that agree to two significant figures. Use the value α = 250 pm for the M+ ion. Ksp= 5.9E-3
A pasta company with a blue box produces 1,400 tons of semolina pasta per day. The pasta is fed into a machine as a large, loose dough and then squeezed through a bronze die to form a desired shape. As the pasta is squeezed through the die, the volume of space it takes up decreases while the mass remains constant, and thus the resulting shape is more dense. If m is the constant mass of the pasta in grams and V is the volume of the pasta in mL, then the density p is given by p= - m (a) If the mass remains constant while the volume changes with time, find dp dt (b) Suppose the mass of the pasta is 80g, the density is 0.8 g/mL, and the volume is decreasing at a rate of 400 mL/sec. How fast is the density of the pasta changing at that moment? mL · sec

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra

ISBN:

9780135163078

Author:

Michael Sullivan

Publisher:

PEARSON

Introduction to Linear Algebra, Fifth Edition

Algebra

ISBN:

9780980232776

Author:

Gilbert Strang

Publisher:

Wellesley-Cambridge Press

College Algebra (Collegiate Math)

Algebra

ISBN:

9780077836344

Author:

Julie Miller, Donna Gerken

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS