Scientists can determine the age of ancient objects by the method of radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, ¹4C, with a half-life of about5,730 years. Vegetation absorbs carbon dioxide through the atmosphere, and animal life assimilates ¹4C through food chains. When a plant or animal dies, it stops replacing its carbon, and the amount of ¹4C present begins to decreasethrough radioactive decay. Therefore, the level of radioactivity must also decay exponentially.A discovery revealed a parchment fragment that had about 54% as much 14C radioactivity as does plant material on the earth today. Estimate the age (in years) of the parchment. (Round your answer to the nearest hundred years.)

The half-life of the isotope is 5730 yrs.To Find:Estimate the age of the parchment.

Answered: Scientists can determine the age of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A radioactive substance has a half life of 175 years. Find the decay constant, r, for this substance. (Round to 5 places after the decimal point.)
The half life of a certain element is about 5600 years. Use the radioactive formula to complete parts a and b. a. A pice of cloth is painted with organic dyes. By analyzing the dye in the cloth, it is found that only 64% of the certain element remains. When was the cloth painted? b. A well preserved piece of wood found at a site has 12.9% of the certain element that it must have had when it was alive. Estimate when the wood was cut.
Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 26 grams?
A radioactive substance decays from 50 mg to 14 mg in 28 years according to the exponential decay model y = ae-bz, where a is the initial amount and y is the amount remaining after x years. Find the b -value. Round to the nearest hundredth, if needed. Use the EXACT b-value to write the exponential decay model for this substance with initial amount 50 mg. Use that model to find the half-life. Round to the nearest hundredth of a year, if needed. half-life years
Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000 years?
QUESTION 2 A sample of the radioactive isotope PL-50 has a half life of 1500 years. How long does it take for this sample to decay to 84% of the original sample? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt Tx XOG
Mikey and his gang of friends find a map leading to a treasure owned by a pirate living in the 17th century. To authenticate the map, Mikey carbon-dates the map by measuring the amount of carbon-14 currently in the map relative to the amount originally present when the map was drawn and finds that 96% of the carbon-14 is still present. If the half-life of carbon-14 is 5730 years, how long ago was the map drawn up? Round to the nearest year. Does the age of the map support its authenticity?
An unknown radioactive element decays into non-radioactive substances. In 660 days the radioactivity of a sample decreases by 51%. What is the half-life?
Complete the table shown to the right for the population growth model for a certain country. k= (Round to four decimal places as needed.) 2005 Population (millions) 40.5 Projected 2041 Population Projected Growth (millions) Rate, k 25.3
A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees.How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.) ________ years
After 25 years, 60% of a radioactive substance still remains in a 20 gram sample. What is the half-life of the substance? 25 In 0.6 year In 0.5 251n0.3 years In 0.5 25 In 0.6 years In 0.5 years 25 In 0.4 25 In 0.5 In 0.6 years
Seeds found in a grave in Egypt proved to have only 58% of the Carbon-14 of living tissue. The half-life of Carbon-14 is 5730 years. When were the seeds harvested?

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS