24.33 P Question:聽What is the specific ... [FREE SOLUTION]

Chapter 24: 24.33 P (page 1064)

Question:What is the specific activity (in $Ci / g$ ) if 1.65 mgof an isotope emits $1.56 脳 10^{6} 伪$ particles per second?

Short Answer

Expert verified

The specific activity is $2.56 脳 10^{2} C i / g$ .

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:

$\begin{array}{rcl} m & = & 1.65 mg \\ = & 1.65 mg 脳 \frac{1 g}{1000 mg} \\ = & 1.65 脳 10^{3} g \end{array}$

The radioactive isotope's activity is :

$A = 1.56 脳 10^{6}$ decays.

$1 Ci = 3.70 脳 10^{10}$ decays .

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

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

$\begin{array}{rcl} A & = & 1.56 脳 10^{6} decays / s 脳 \frac{1 Ci}{3.70 脳 10^{10} decays / s} \\ = & 4.216 脳 10^{5} Ci. \end{array}$

We can now compute the specific activity.

$\begin{array}{rcl} specific activity & = & \frac{A}{m} \\ = & \frac{4.216 脳 10^{5} Ci}{1.65 脳 10^{3} g} \\ = & 2.56 脳 10^{2} Ci / g \end{array}$

Therefore, the required value is $2.56 脳 10^{2} Ci / g$ .

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91影视

Question:What is the specific activity (in $Ci / g$ ) if 1.65 mgof an isotope emits $1.56 脳 10^{6} 伪$ particles per second?

Short Answer

Step by step solution

Definition of Kinetics of Radioactive Decay

Calculation of the specific activity

One App. One Place for Learning.

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Recommended explanations on Chemistry Textbooks

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Kinetics

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Study anywhere. Anytime. Across all devices.

91影视

Question:What is the specific activity (inCi/g) if 1.65 mgof an isotope emits1.56脳106伪particles per second?

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

Physical Chemistry

Chemistry Branches

Kinetics

Ionic and Molecular Compounds

Chemical Reactions

Chemical Analysis

Study anywhere. Anytime. Across all devices.

Question:What is the specific activity (in $Ci / g$ ) if 1.65 mgof an isotope emits $1.56 脳 10^{6} 伪$ particles per second?