The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined. Concept introduction: The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t 1/2 . In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance. After each half-life period, the amount of the substance is reduced to half of the initial number. The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below: ln ( N t N 0 ) = − kt In the above equation, ‘N t ’ represents the mass of the radioactive substance after a certain time interval t, ‘N 0 ’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t 1/2 ).

Question

Want to see the full answer?

Answer 1

Question

Chapter 17, Problem 70E

Interpretation Introduction

Interpretation:

The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined.

Concept introduction:

The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t_1/2.

In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.

After each half-life period, the amount of the substance is reduced to half of the initial number.

The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below:

ln(NtN0)=−kt

In the above equation, ‘N_t’ represents the mass of the radioactive substance after a certain time interval t, ‘N₀’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t_1/2).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Caffeine (C8H10N4O2, pictured below) is a weak base. The pKb of caffeine is 10.4. What is the pH of a 0.0155 M solution of caffeine?

2-Cyclopentyl-2-methyl-1,3-dioxolane is reacted with H₂SO₄. Draw and name the structures of the products.

Indicate the products of the reaction of 1-cyclohexyl-2,2-dimethylpropan-1-one with CH3CO3H (). Draw the structures of the compounds.

Answer 2

Question

Chapter 17, Problem 70E

Interpretation Introduction

Interpretation:

The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined.

Concept introduction:

The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t_1/2.

In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.

After each half-life period, the amount of the substance is reduced to half of the initial number.

The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below:

ln(NtN0)=−kt

In the above equation, ‘N_t’ represents the mass of the radioactive substance after a certain time interval t, ‘N₀’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t_1/2).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 17, Problem 70E

Interpretation Introduction

Interpretation:

The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined.

Concept introduction:

The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t_1/2.

In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.

After each half-life period, the amount of the substance is reduced to half of the initial number.

The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below:

ln(NtN0)=−kt

In the above equation, ‘N_t’ represents the mass of the radioactive substance after a certain time interval t, ‘N₀’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t_1/2).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 17, Problem 70E

Interpretation Introduction

Interpretation:

The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined.

Concept introduction:

The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t_1/2.

In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.

After each half-life period, the amount of the substance is reduced to half of the initial number.

The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below:

ln(NtN0)=−kt

In the above equation, ‘N_t’ represents the mass of the radioactive substance after a certain time interval t, ‘N₀’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t_1/2).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 17, Problem 70E

Interpretation Introduction

Interpretation:

The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined.

Concept introduction:

The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t_1/2.

In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.

After each half-life period, the amount of the substance is reduced to half of the initial number.

The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below:

ln(NtN0)=−kt

In the above equation, ‘N_t’ represents the mass of the radioactive substance after a certain time interval t, ‘N₀’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t_1/2).

Answer 6

Chapter 17, Problem 70E

Interpretation Introduction

Interpretation:

The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined.

Concept introduction:

The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t_1/2.

In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.

After each half-life period, the amount of the substance is reduced to half of the initial number.

The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below:

ln(NtN0)=−kt

In the above equation, ‘N_t’ represents the mass of the radioactive substance after a certain time interval t, ‘N₀’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t_1/2).

Answer 7

Chapter 17, Problem 70E

Interpretation Introduction

Interpretation:

The number of the Iodine-131 that would remain after a decay period of 1 month, which have a half-life of 8.0 days is to be determined.

Concept introduction:

The half-life of a substance is the numerical value in which the given radioactive substance is assumed to be reduced to half of its initial number. The half-life for a given substance is represented by t_1/2.

In case, the decay of a radioactive substance is exponential, it will remain constant for the life time of the substance.

After each half-life period, the amount of the substance is reduced to half of the initial number.

The amount (for example say number of atoms) of the substance left after the half-life period can be calculated using the formula mentioned below:

ln(NtN0)=−kt

In the above equation, ‘N_t’ represents the mass of the radioactive substance after a certain time interval t, ‘N₀’ indicates the initial mass of the radioactive material, ‘k’ represents the decay constant and ‘t’ represents the time interval for the half-life (t_1/2).

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 11

Ch. 17 - Prob. 1SAQ Ch. 17 - Prob. 2SAQ Ch. 17 - Prob. 3SAQ Ch. 17 - Prob. 4SAQ Ch. 17 - Prob. 5SAQ Ch. 17 - Prob. 6SAQ Ch. 17 - Prob. 7SAQ Ch. 17 - Prob. 8SAQ Ch. 17 - Prob. 9SAQ Ch. 17 - Prob. 10SAQ

Solution Summary: The author explains that the half-life of a given radioactive substance is represented by t 1/2.

Want to see the full answer?

Chapter 17 Solutions