show complete solution The radioactive isotope of Lead (Pb-209) decays at a rate proportional to the amount present at time, t, and has a half-life of 3.3 hours. If 2 grams of this isotope is present initially, how long will it take for 80% of the Lead to decay? use: dQ ∞ Q dt ка SdQ = ksat clt dQ dt. In Q = kt + C₁ kt + Ci Q = e Q = ekt Ce kt CI

Chemistry
9th Edition
ISBN:9781133611097
Author:Steven S. Zumdahl
Publisher:Steven S. Zumdahl
Chapter19: The Nucleus: A Chemist's View
Section: Chapter Questions
Problem 27E
icon
Related questions
Question
Show complete solution.
show complete solution
The radioactive isotope of Lead (Pb-209)
decays at a rate proportional to the amount
present at time, t, and has a half-life of 3.3
hours. If 2 grams of this isotope is present
initially, how long will it take for 80% of the
Lead to decay?
use:
dQ ∞ Q
dt
dQ
dt
= KQ
SdQ = kgat
cit
In Q = kt + C₁
Q = ekt +c₁
Q = ekt
Q = ce
kt
CI
Transcribed Image Text:show complete solution The radioactive isotope of Lead (Pb-209) decays at a rate proportional to the amount present at time, t, and has a half-life of 3.3 hours. If 2 grams of this isotope is present initially, how long will it take for 80% of the Lead to decay? use: dQ ∞ Q dt dQ dt = KQ SdQ = kgat cit In Q = kt + C₁ Q = ekt +c₁ Q = ekt Q = ce kt CI
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Nuclear Reactions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781133611097
Author:
Steven S. Zumdahl
Publisher:
Cengage Learning
Chemistry: An Atoms First Approach
Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Principles of Modern Chemistry
Principles of Modern Chemistry
Chemistry
ISBN:
9781305079113
Author:
David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:
Cengage Learning
Chemistry by OpenStax (2015-05-04)
Chemistry by OpenStax (2015-05-04)
Chemistry
ISBN:
9781938168390
Author:
Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:
OpenStax
Chemistry: Principles and Practice
Chemistry: Principles and Practice
Chemistry
ISBN:
9780534420123
Author:
Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:
Cengage Learning