# Chapter 20, Problem 20.95QP

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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

(a)

Interpretation Introduction

Interpretation: The radius (r) of a nucleus is directly proportional to the ( r3 ) of mass number (A) to be shown and the volume for U235 nucleus should be determined.

Concept Introduction:

• Half-life period: The time required to reduce half of its original value.
• This is denoted by: t1/2
• 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 in half –life period we use

K=0.693t1/2 Equation.

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

Formula:

The volume of a sphere is V=43πr3

Age calculation:

lnNtN0=-kt

Calculate the age and rate constant:

K=0.693t1/2

(b)

Interpretation Introduction

Interpretation: The radius (r) of a nucleus is directly proportional to the ( r3 ) of mass number (A) to be shown and the volume for U235 nucleus should be determined.

Concept Introduction:

• Half-life period: The time required to reduce half of its original value.
• This is denoted by: t1/2
• 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 in half –life period we use

K=0.693t1/2 Equation.

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

Formula:

The volume of a sphere is V=43πr3

Age calculation:

lnNtN0=-kt

Calculate the age and rate constant:

K=0.693t1/2

To determine: The calculated volume for the U235 nucleus by substituting the equation derived in step-1.

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