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Chapter 20, Problem 20.28QP

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CHEMISTRY: ATOMS FIRST VOL 1 W/CON...

14th Edition
Burdge
ISBN: 9781259327933

Solutions

Chapter
Section
FindFindarrow_forward

CHEMISTRY: ATOMS FIRST VOL 1 W/CON...

14th Edition
Burdge
ISBN: 9781259327933
Interpretation Introduction

Interpretation:

The age of charcoal should be determined by using the given data.

Concept Introduction:

  • Radioactive decay:
  • This process is the accompanied by the emission of one or more than one types of ionizing radiation like alpha ,beta, neutron, particles and gamma rays are disintegrate
  • Radio active life-it refers to the amount of time taken by completion of half of its original isotope to decay. The rate of decay is a fixed rate called half-life.
  • Half-life used in carbon dating-technique for the age calculation of dead wood fossil, monument old tree etc.
  • The half-life period s are determined by considering carbon dating technique.
  • Carbon dating uses the half-life of carbon-14 to find the approximate age of an object. It’s may be 40.000 year old or younger.
  • Radioactive isotope: An atom in a chemical compound is replaced by another atom, of the same chemical element. This is the principle behind the radioactive tracers.

    Titanium is the example of radioactive isotope.

Formula:

Half –life period:

t1/2=0.693k

For identifying k or t value:

lnNtN0=-kt

Given:

A piece of charcoal found at volcanic site is 11.2dis/sec .

Activity of carbon 14 in an equal mass of living matter is 18.3dis/sec .

To determine: The age of charcoal is calculate by considering the carbon-14 decay.

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