Chapter 24: Q24.34 P (page 1104)

What is the specific activity (in $Ci / g$ ) if $2 .6 g$ of an isotope emits $4 .13 \times 10^{8} β^{-}$ particles per hour?

Short Answer

Expert verified

The specific activity is $1.19 \times 10^{6} Ci / g.$

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.

Calculation of the specific activity

An isotope's mass is calculated as follows: $m = 2.6 g$ .

The radioactive isotope's activity is :

$A = 4.13 \times 10^{8}$ decays/hour.

$1 Ci = 3.70 \times 10^{10}$ decays.

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

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

$\begin{matrix} A = 4.13 \times 10^{8} \frac{decays}{hour} \times \frac{1 hour}{3600 seconds} \\ = 1.147 \times 10^{5} \frac{1 Ci}{decays} \times \frac{1}{3.70 \times 10^{10} decays/second} \\ = 3.1 \times 10^{6} Ci. \end{matrix}$

Now we can calculate the specific activity

$\begin{matrix} specificactivity = \frac{A}{m} \\ = \frac{3.1 \times 10^{6} Ci}{2.6 g} \\ = 1.19 \times 10^{6} Ci / g. \end{matrix}$

Therefore, the required value is $1.19 \times 10^{6} Ci / g.$

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What is the specific activity (in $Ci / g$ ) if $2 .6 g$ of an isotope emits $4 .13 \times 10^{8} β^{-}$ particles per hour?

Short Answer

Step by step solution

Definition of Kinetics of Radioactive Decay

Calculation of the specific activity

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What is the specific activity (in Ci/g) if 2.6gof an isotope emits4.13×108β− particles per hour?

Short Answer

Step by step solution

Definition of Kinetics of Radioactive Decay

Calculation of the specific activity

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Inorganic Chemistry

Physical Chemistry

The Earths Atmosphere

Ionic and Molecular Compounds

Kinetics

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

What is the specific activity (in $Ci / g$ ) if $2 .6 g$ of an isotope emits $4 .13 \times 10^{8} β^{-}$ particles per hour?