Homework Help is Here – Start Your Trial Now!
Science
Chemistry
You have just discovered a fossil and tested it to discover it contains 35% of the original carbon 14, about how old is it? If you know a sample is 2715 years old, what percent of carbon 14 would you expect to find in the fossil?

You have just discovered a fossil and tested it to discover it contains 35% of the original carbon 14, about how old is it? If you know a sample is 2715 years old, what percent of carbon 14 would you expect to find in the fossil?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
See similar textbooks
icon
Related questions
Question
100%
Cam someone help me with this? Thank you in advance
Directions: Read about how radioactive carbon-14 is use in estimating the age of a fossil. Then try to answer the sample exercises below. Use a separate sheet of paper. Archaeologist use the exponential, radioactive decay of carbon 14 to estimate the age of fossils. The half-life of a radioactive isotope describes the amount of time it takes half of the isotope in a sample to decay. For example, if you had a 2 kg of carbon 14 it would take 5,730 years for that sample to decay, and you would be left with 1 kg of carbon 14. (Therefore, the half-life of carbon 14 is 5730 years.) Ex: a wooden artifact from ancient tomb contains 50% of the carbon-14 that is present in living trees. Using the half-life of carbon 14 (5730 years), calculate for the age of artifact. A(t) = A-e*t A(t) = Final Amount A. = Initial amount k = rate of decay t = time Assume we have an initial amount of 1 g and A(t) = 5730, lets solve first for the rate of decay. A. = 1g A157 30) = % g 1/2 = 1 e5730k In 1/2 = In 1 e5730k k = - 0.000120968 To solve for the age, A(t) = Aet A. = 1 g A(t) = 50% or .5 .5 = 1 e-0.000120968t In (.5) = In le 0.000120968t A(t) = 573 yrs. Old The age of wooden artefact with 50% of carbon-14 is 573 yrs. old Solve for the following problems: 1. You have just discovered a fossil and tested it to discover it contains 35% of the original carbon 14, about how old is it? 2. If you know a sample is 2715 years old, what percent of carbon 14 would you expect to find in the fossil? 3. If a sample of the isotope is 1744 years old, what percent of the isotope would you expect to find in the fossil?
Transcribed Image Text:Directions: Read about how radioactive carbon-14 is use in estimating the age of a fossil. Then try to answer the sample exercises below. Use a separate sheet of paper. Archaeologist use the exponential, radioactive decay of carbon 14 to estimate the age of fossils. The half-life of a radioactive isotope describes the amount of time it takes half of the isotope in a sample to decay. For example, if you had a 2 kg of carbon 14 it would take 5,730 years for that sample to decay, and you would be left with 1 kg of carbon 14. (Therefore, the half-life of carbon 14 is 5730 years.) Ex: a wooden artifact from ancient tomb contains 50% of the carbon-14 that is present in living trees. Using the half-life of carbon 14 (5730 years), calculate for the age of artifact. A(t) = A-e*t A(t) = Final Amount A. = Initial amount k = rate of decay t = time Assume we have an initial amount of 1 g and A(t) = 5730, lets solve first for the rate of decay. A. = 1g A157 30) = % g 1/2 = 1 e5730k In 1/2 = In 1 e5730k k = - 0.000120968 To solve for the age, A(t) = Aet A. = 1 g A(t) = 50% or .5 .5 = 1 e-0.000120968t In (.5) = In le 0.000120968t A(t) = 573 yrs. Old The age of wooden artefact with 50% of carbon-14 is 573 yrs. old Solve for the following problems: 1. You have just discovered a fossil and tested it to discover it contains 35% of the original carbon 14, about how old is it? 2. If you know a sample is 2715 years old, what percent of carbon 14 would you expect to find in the fossil? 3. If a sample of the isotope is 1744 years old, what percent of the isotope would you expect to find in the fossil?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Dating Techniques
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:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
SEE MORE TEXTBOOKS