Chapter 20.3, Problem 4PPC

Interpretation Introduction

Interpretation: The diagram should be identified for the closely representing the sample of X after 105 days.

Concept Introduction:

• Half-life period: The time required to reduce, half of its original value.
• This is denoted by:${\text{t}}_{\text{1/2}}$
• This term is popularly use in nuclear chemistry, to describe the stability & instability of atoms or radioactive decay.
• For determination of first order rate constant k we use

  $\text{k=}\frac{\text{0}\text{.693}}{{\text{t}}_{\text{1/2}}}{\text{t}}_{\frac{\text{1}}{\text{2}}}\text{=}\text{half}\text{life}$

  The half-life in first order does not depend upon the initial concentration.

Age calculation:

$\text{ln}\frac{{\text{N}}_{\text{t}}}{{\text{N}}_{\text{0}}}\text{=-kt}$