Chapter 20, Problem 20.23QP

Interpretation Introduction

Interpretation: The number of atom left after 42.0min should be calculated.

Concept Introduction:

Radioactive decay:

• Thisprocess 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 forthe 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.

To determine: The number of atom decrease by half for each half-life is explained by using the given data.

Given:

Radioactive decay of ${}_{}^{\text{206}}\text{Tl}$& ${}_{\text{82}}^{\text{206}}\text{Pb}$ has a half-life period 4.20min.

Starting atoms with 5.00 $\times {\text{10}}^{22}$ atoms of ${}_{}^{\text{206}}\text{Tl}$.