Chapter 19, Problem 82CWP

(a)

Interpretation Introduction

Interpretation: Half life of a certain radioactive nuclide is given. The rate constant in ${\text{s}}^{\text{-1}}$ for this nuclide is to be calculated. The decay rate in $\text{decays/s}$ for $1$ mole of this nuclide is to be calculated.

Concept introduction: Unstable nuclides become stable by emitting radiation such as alpha, beta, and gamma particles and this is known as radioactive decay. Decay constant is the quantity that expresses the rate of decrease of number of atoms of a radioactive element per second. Half life of radioactive sample is defined as the time required for the number of nuclides to reach half of the original value.

To determine: The rate constant in ${\text{s}}^{\text{-1}}$ for the given nuclide.

(b)

Interpretation Introduction

Interpretation: Half life of a certain radioactive nuclide is given. The rate constant in ${\text{s}}^{\text{-1}}$ for this nuclide is to be calculated. The decay rate in $\text{decays/s}$ for $1$ mole of this nuclide is to be calculated.

Concept introduction: Unstable nuclides become stable by emitting radiation such as alpha, beta, and gamma particles and this is known as radioactive decay. Decay constant is the quantity that expresses the rate of decrease of number of atoms of a radioactive element per second. Half life of radioactive sample is defined as the time required for the number of nuclides to reach half of the original value.

To determine: The decay rate in $\text{decays/s}$ for $1$ mole of the given nuclide.