Q24.34 P What is the specific activity (i... [FREE SOLUTION]

Chapter 24: Q24.34 P (page 1104)

What is the specific activity (in $Ci / g$ ) if $2 .6 g$ of an isotope emits $4 .13 脳 10^{8} 尾^{鈭�}$ particles per hour?

Short Answer

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

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 :

$A = 4.13 脳 10^{8}$ decays/hour.

$1 Ci = 3.70 脳 10^{10}$ decays.

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

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

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

Now we can calculate the specific activity

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

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

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91影视

What is the specific activity (in $Ci / g$ ) if $2 .6 g$ of an isotope emits $4 .13 脳 10^{8} 尾^{鈭�}$ particles per hour?

Short Answer

Step by step solution

Definition of Kinetics of Radioactive Decay

Calculation of the specific activity

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91影视

What is the specific activity (in Ci/g) if 2.6gof an isotope emits4.13脳108尾鈭� 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

Chemical Reactions

Inorganic Chemistry

Making Measurements

Physical Chemistry

Chemistry Branches

The Earths Atmosphere

Study anywhere. Anytime. Across all devices.

What is the specific activity (in $Ci / g$ ) if $2 .6 g$ of an isotope emits $4 .13 脳 10^{8} 尾^{鈭�}$ particles per hour?