Question

'Need help on this one The chart below shows the changing of parent-daughter isotope ratios over half-lives. Use this chart to answer the following TIME after half-life before after after after after any half-lives 100% 2 half-lives 3 half-lives 4 half-lives 5 half-lives 96.875% 93.75% 87.5% 2 [ 1 75% 7 1 50% 50% L { { 1 25% [ 3 12.5%" 1 6.25%= 3.125%" 0% Potassium has half-life of 1.3 billion years. In a rock sample; there are 5,520 atoms of Argon-40 and 480 atoms of Potassium 40. How old is this rock sample? Type out your steps in solving this problem'

          'Need help on this one
The chart below shows the changing of parent-daughter isotope ratios over half-lives. Use this chart to answer the following
TIME after half-life
before
after
after
after
after
any half-lives 100% 
2 half-lives
3 half-lives
4 half-lives
5 half-lives
96.875% 93.75% 87.5% 2 [ 1 75% 7 1 50%   50% L { { 1 25% [ 3 12.5%" 1 6.25%= 3.125%" 0% Potassium has half-life of 1.3 billion years. In a rock sample; there are 5,520 atoms of Argon-40 and 480 atoms of Potassium 40. How old is this rock sample? Type out your steps in solving this problem'
        
Show more…
need help on this one the chart below shows the changing of parent daughter isotope ratios over half lives use this chart to answer the following time after half life before after after afte 88897

Added by Jordi C.

Close

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
'Need help on this one The chart below shows the changing of parent-daughter isotope ratios over half-lives. Use this chart to answer the following TIME after half-life before after after after after any half-lives 100% 2 half-lives 3 half-lives 4 half-lives 5 half-lives 96.875% 93.75% 87.5% 2 [ 1 75% 7 1 50% 50% L { { 1 25% [ 3 12.5%" 1 6.25%= 3.125%" 0% Potassium has half-life of 1.3 billion years. In a rock sample; there are 5,520 atoms of Argon-40 and 480 atoms of Potassium 40. How old is this rock sample? Type out your steps in solving this problem'
Close icon
Play audio
Feedback
Powered by NumerAI
Jennifer Stoner David Collins
Danielle Fairburn verified

Shyam P and 99 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
assume-you-begin-with-1og-of-a-radioactive-parent-isotope-how-many-grams-of-the-parent-will-remain-after-one-half-life-_-two-half-e-lives-three-half-lives-four-half-lives-2-if-a-radioactive-22652

Shyam P.

what-amount-of-the-original-parent-isotope-remains-after-each-of-the-following-half-lives-has-clapsed-if-you-started-with-oolbs-one-half-life-50-third-half-life-1252-fifth-half-life-3125-ten-99608

What amount of the original parent isotope remains after each of the following half-lives has elapsed if you started with 100 lbs? One half-life: 50 lbs Third half-life: 12.5 lbs Fifth half-life: 3.125 lbs Tenth half-life: 0.09 lbs What percentage of the daughter product is produced after each of the following half-lives has elapsed? One half-life: 50% Third half-life: 87.5% Fifth half-life: 96.8% Tenth half-life: 99.9%

Dominador T.

nuclear-and-organic-chemistpy-using-isotope-ratios-t0-radiodate-e-the-half-life-for-the-radioactive-decay-of-potassium-40-to-argon-40-is-126-109-vears-suppose-nuclear-chemical-analysis-shows-75097

NUCLEAR AND ORGANIC CHEMISTRY: Using isotope ratios to radiodate The half-life for the radioactive decay of potassium-40 to argon-40 is 1.26 x 10^9 years. Suppose nuclear chemical analysis shows that there is 0.268 mmol of argon-40 for every 1.000 mmol of potassium-40 in a certain sample of rock. Calculate the age of the rock: Round your answer to 2 significant digits.

Cheryl G.


*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,355 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,697 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,719 solutions

*

Transcript

-
00:01 Hello everyone for the first part of the problem we have given the 1 half life will be equals to n by 2 so here 2 half life the number will become n note by 4 and for 3 half life it will become n note by 2 raise to part 3 that is n note by 8 in the similar way for the 4 half life it will be n note by 2 raise to power 4 that is n note by 16 now for the second part here 50 % of the material change to daughter that will be equals to 400 million years.
01:38 So we know that the radioactivity constant can be represented by n by n0 that is equals to e raised to par minus lambda into t where lambda represent the decay constant and t represent the time and the t half is equals to 0 .693 by lambda now here the value of t will be equals to 2 .303 by lambda into log of 100 by 75.
02:26 So here after solving we get 166 .08 million years...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever