Question

Time (h) Mass Remaining of the Isotope (g) 0.0 40.00 3.0 20.00 6.0 10.00 9.0 5.00 12.0 2.50 15.0 1.25 18.0 0.63 Answer the following questions: a. Approximately how much mass remains after 10.0 hours? b. Approximately how much mass remains after 28.0 hours? c. What is the half-life for this isotope?

          Time (h)	Mass Remaining of the Isotope (g)
0.0	                40.00
3.0          	20.00
6.0          	10.00
9.0          	5.00
12.0	        2.50
15.0	        1.25
18.0	        0.63
Answer the following questions:
a.	Approximately how much mass remains after 10.0 hours?
b.	Approximately how much mass remains after 28.0 hours?

c.	What is the half-life for this isotope?
        
Show more…

Added by Laura V.

Physical Chemistry for IIT JEE
Physical Chemistry for IIT JEE
Atul Singha 1st Edition
Chapter 11
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
Time (h) Mass Remaining of the Isotope (g) 0.0 40.00 3.0 20.00 6.0 10.00 9.0 5.00 12.0 2.50 15.0 1.25 18.0 0.63 Answer the following questions: a. Approximately how much mass remains after 10.0 hours? b. Approximately how much mass remains after 28.0 hours? c. What is the half-life for this isotope?
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Jennifer Stoner
David Collins verified

Dominique Jan Tan and 62 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

-
the-half-life-of-a-radio-isotope-is-four-hours-if-the-initial-mass-of-the-isotope-was-200-mathrmg-th

The half life of a radio isotope is four hours. If the initial mass of the isotope was $200 \mathrm{~g}$ the mass remaining after 24 hours undecayed is a. $2.084 \mathrm{~g}$ b. $3.125 \mathrm{~g}$ c. $4.167 \mathrm{~g}$ d. $1.042 \mathrm{~g}$

Physical Chemistry for IIT JEE

the-half-life-of-a-radio-isotope-is-four-hours-if-the-initial-mass-of-the-isotope-was-200-mathrmg--3

The half-life of a radio isotope is four hours. If the initial mass of the isotope was $200 \mathrm{~g}$ the mass remaining undecayed after 24 hours is (a) $2.084 \mathrm{~g}$ (b) $3.125 \mathrm{~g}$ (c) $4.167 \mathrm{~g}$ (d) $1.042 \mathrm{~g}$

A Complete Resource Book in Chemistry for JEE Main

the-half-life-of-a-radio-isotope-is-three-hours-it-the-mass-of-the-undecayed-isotope-at-the-end-of-1

The half life of a radio-isotope is three hours. It the mass of the undecayed isotope at the end of 18 hours is $3.125 \mathrm{gm}$, what was its mass initially? a. $300 \mathrm{~g}$ b. $200 \mathrm{~g}$ c. $180 \mathrm{~g}$ d. $400 \mathrm{~g}$

Physical Chemistry for IIT JEE


*

Recommended Textbooks

-
University Physics with Modern Physics

University Physics with Modern Physics

Hugh D. Young 14th Edition
achievement 1,222 solutions
Physics: Principles with Applications

Physics: Principles with Applications

Douglas C. Giancoli 7th Edition
achievement 1,866 solutions
Fundamentals of Physics

Fundamentals of Physics

David Halliday, Robert Resnick , Jearl Walker 10th Edition
achievement 1,874 solutions

*

Transcript

-
00:01 We define half -life as the amount of time it takes for half of the amount of the substance to decompose.
00:19 So that means say for example if you have an initial amount of 100 then after half -life it will go down to 250.
00:36 So in this case we're given with the table and we see here that from particularly if we see that from time 0 to time 30 so this is in sec this is in hours we find that the amount or the concentration of the substance in gram at time equals 0 to 20 at time equals 3 hours.
01:14 So as i corrected this should have been 3 not 30.
01:20 So as we see that as the amount has decreased by half it follows that time equals 3 is the half -life.
01:36 So we say 3 hours is the half -life.
01:44 So this is the first one we can establish from here.
01:49 Next we're going to approximate the amount remaining after 10 hours and 28 hours.
01:54 So we go ahead and check the table we continue writing it so we're actually given with time from 0 all the way to 18 and the intervals of 3 hours.
02:07 So 6, 9, 12, then 15 and then for the amount so we know that for every 3 hours there they have the amount decreases by half.
02:21 So we go from 40 to 20 and then from 10 to 5 and then to 2 .5 and then 1 .25.
02:30 We also have 18 there's 0 .63.
02:38 Now time equals 10 we have that right between 9 and 12...
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
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