BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

Solutions

Chapter
Section
BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

A living plant contains approximately the same fraction of carbon-14 as in atmospheric carbon dioxide. Assuming that the observed rate of decay of carbon-14 from a living plant is 13.6 counts per minute per gram of carbon, how many counts per minute per gram of carbon will be measured from a 15,000-year-old sample? Will radiocarbon dating work well for small samples of 10 mg or less? (For 14C, t1/2 = 5730 years.)

Interpretation Introduction

Interpretation: Rate of decay of carbon 14 and its half life is given. The counts per minute per gram of carbon measured from a 15000 year old sample are to be determined. Effectiveness of radiocarbon dating for a small sample of 10mg or less is to be justified.

Concept introduction: Radiocarbon dating is based on the radioactivity of the nuclide 614C which decays by beta particle production.

A living plant consumes carbon dioxide in the photosynthesis process and incorporates the carbon including 614C into its molecule.

To determine: The counts per minute per gram of carbon measured from a 15000 year old sample.

Explanation

Explanation

The decay constant can be calculated by the formula given below.

λ=0.693t1/2

Where

  • t1/2 is the half life of nuclide.
  • λ is the decay constant.

Substitute the value of t1/2 in the above equation.

λ=0.6935730yrs1λ=1.2094×10-4yrs-1_

Explanation

The counts per minute per gram are calculated by the formula,

t=2.303λlog(OriginalactivityFinalactivity)

Substitute the value of λ , the original activity and the final activity in the above expression

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

What behaviors would be most helpful in preventing osteoporosis?

Understanding Nutrition (MindTap Course List)

Cod is one of the richest sources of the beneficial fatty acids, EPA and DHA. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is the first element of the scientific method?

An Introduction to Physical Science

Why do Peruvian fisheries declineoften dramaticallyin El Nio years?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

Because the Earth rotates about its axis, a point on the equator experiences a centripetal acceleration of 0.03...

Physics for Scientists and Engineers, Technology Update (No access codes included)