(a) Interpretation: The number of decays in the first two-minute interval needs to be determined. Concept Introduction: All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows: N ( t ) = N o ( 1 2 ) t / t 1 / 2 Here, N ( t ) is amount at time t, N o is initial amount and t 1 / 2 is half-life time. The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows: A ( t ) = − d N d t Also, A ( t ) = λ N ( t ) Here, λ is decay constant. The relation between half-life time and decay constant is as follows: t 1 / 2 = 0.6932 λ Here, t 1 / 2 is half-life time.

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Answer 1

Question

Chapter 10, Problem 47P

Interpretation Introduction

(a)

Interpretation:

The number of decays in the first two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Interpretation Introduction

(b)

Interpretation:

The number of decays in the second two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

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Answer 2

Question

Chapter 10, Problem 47P

Interpretation Introduction

(a)

Interpretation:

The number of decays in the first two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Interpretation Introduction

(b)

Interpretation:

The number of decays in the second two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 10, Problem 47P

Interpretation Introduction

(a)

Interpretation:

The number of decays in the first two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Interpretation Introduction

(b)

Interpretation:

The number of decays in the second two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 10, Problem 47P

Interpretation Introduction

(a)

Interpretation:

The number of decays in the first two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Interpretation Introduction

(b)

Interpretation:

The number of decays in the second two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 10, Problem 47P

Interpretation Introduction

(a)

Interpretation:

The number of decays in the first two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Interpretation Introduction

(b)

Interpretation:

The number of decays in the second two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Answer 6

Chapter 10, Problem 47P

Interpretation Introduction

(a)

Interpretation:

The number of decays in the first two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Answer 7

Chapter 10, Problem 47P

Interpretation Introduction

(a)

Interpretation:

The number of decays in the first two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Answer 8

Interpretation Introduction

(b)

Interpretation:

The number of decays in the second two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Answer 9

Interpretation Introduction

(b)

Interpretation:

The number of decays in the second two-minute interval needs to be determined.

Concept Introduction:

All the radioactive reactions follow first order kinetics. According to integrated rate law for the first order reaction, the relation between final concentration, initial concentration and half-life is represented as follows:

N(t)=No(12)t/t1/2

Here, N(t) is amount at time t, No is initial amount and t1/2 is half-life time.

The average number of decays per unit time or change in the radioactive nuclei present is known as activity. It is represented as follows:

A(t)=−dNdt

Also,

A(t)=λN(t)

Here, λ is decay constant.

The relation between half-life time and decay constant is as follows:

t1/2=0.6932λ

Here, t1/2 is half-life time.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 10.1 - Complete the following table for two isotopes of...Ch. 10.1 - Prob. 10.1P Ch. 10.1 - Prob. 10.2P Ch. 10.1 - Prob. 10.3P Ch. 10.1 - Identify Q in each of the following symbols. a....Ch. 10.2 - Prob. 10.5P Ch. 10.2 - Prob. 10.6P Ch. 10.2 - Prob. 10.7P Ch. 10.2 - Prob. 10.2PP Ch. 10.2 - Prob. 10.8P

Solution Summary: The author explains how the number of decays in the first two-minute interval needs to be determined.

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