Q24.36 P What is the specific activity (i... [FREE SOLUTION]

Chapter 24: Q24.36 P (page 1104)

What is the specific activity (in $Bq / g$ ) if of an isotope emits $3 .77 脳 10^{7} 尾^{鈭�}$ particles per minute?

Short Answer

Expert verified

The specific activity is $5.87 鈰� 10^{2} Bq / g.$

Step by step solution

Definition of Kinetics of Radioactive Decay

The decrease in the number of radioactive nuclei per unit time is the rate of decay, or activity, of a sample of a radioactive substance.

Calculate the specific activity

An isotope's mass is calculated as follows:

$\begin{matrix} m = 1.07 kg \\ = 1.07 kg 脳 \frac{10^{3} g}{1 kg} \\ = 1.07 脳 10^{3} g. \end{matrix}$

The radioactive isotope's activity is :

$A = 3.77 脳 10^{7}$ decays $/ min$ .

$1 Bq = 1$ decay.

We need to find the specific activity (in $Bq / g$ )

Let's begin by converting the activity from decays/s to $Bq$ .

$\begin{matrix} A = 3.77 脳 10^{7} \frac{decays}{min} 脳 \frac{1 min}{60 s} \\ = 6.28 脳 10^{5} \frac{decays}{s} 脳 \frac{1 Bq}{1 decay / s} \\ = 6.28 脳 10^{5} Bq. \end{matrix}$

We can now compute the specific activity $= \frac{A}{m}$ .

Therefore, the specific activity

$\begin{matrix} = \frac{6.28 脳 10^{5} Bq}{1.07 脳 10^{3} g} \\ = 5.87 脳 10^{2} Bq / g. \end{matrix}$

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91影视

What is the specific activity (in $Bq / g$ ) if of an isotope emits $3 .77 脳 10^{7} 尾^{鈭�}$ particles per minute?

Short Answer

Step by step solution

Definition of Kinetics of Radioactive Decay

Calculate the specific activity

One App. One Place for Learning.

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Study anywhere. Anytime. Across all devices.

91影视

What is the specific activity (in Bq/g) if of an isotope emits 3.77脳107尾鈭�particles per minute?

Short Answer

Step by step solution

Definition of Kinetics of Radioactive Decay

Calculate the specific activity

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemical Reactions

Chemical Analysis

Ionic and Molecular Compounds

Inorganic Chemistry

Chemistry Branches

Physical Chemistry

Study anywhere. Anytime. Across all devices.

What is the specific activity (in $Bq / g$ ) if of an isotope emits $3 .77 脳 10^{7} 尾^{鈭�}$ particles per minute?