Q24.35 P What is the specific activity (i... [FREE SOLUTION]

Chapter 24: Q24.35 P (page 1104)

What is the specific activity (in $Bq / g$ ) if $8 .58 渭 g$ of an isotope emits $7 .4 脳 10^{4} 伪$ particles per minute?

Short Answer

Expert verified

The specific activity is $1.43 脳 10^{鈭� 4} Bq / g.$

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:

$\begin{matrix} m = 8.58 渭 g \\ = 8.58 脳 10^{鈭� 6} g. \end{matrix}$

The radioactive isotope's activity is :

$A = 7.4 脳 10^{4}$ decays $/ min$ .

$1 Bq = 1 decay / s$

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

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

$\begin{matrix} A = 7.4 脳 10^{4} \frac{decays}{\min} 脳 \frac{1 min}{60 s} \\ = 1.23 脳 10^{3} \frac{decays}{s} 脳 \frac{1 Bq}{1 decay / s} \\ = 1.23 脳 10^{3} Bq. \end{matrix}$

We can now compute the specific activity.

Therefore, the specific activity is:

$\begin{matrix} s p e c i f i c 鈥� a c t i v i t y = \frac{A}{m} \\ = \frac{1.23 脳 10^{3} Bq}{8.58 脳 10^{6} g} \\ = 1.43 脳 10^{鈭� 4} Bq / g. \end{matrix}$

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91影视

What is the specific activity (in $Bq / g$ ) if $8 .58 渭 g$ of an isotope emits $7 .4 脳 10^{4} 伪$ 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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91影视

What is the specific activity (inBq/g ) if 8.58渭gof an isotope emits 7.4脳104伪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

Nuclear Chemistry

Making Measurements

Ionic and Molecular Compounds

The Earths Atmosphere

Physical Chemistry

Chemical Analysis

Study anywhere. Anytime. Across all devices.

What is the specific activity (in $Bq / g$ ) if $8 .58 渭 g$ of an isotope emits $7 .4 脳 10^{4} 伪$ particles per minute?