Chapter 5: Q. 5.76 (page 165)

If the amount of radioactive iodine- $123$ , used to treat thyroid cancer, in a sample decreases from $0.4$ my to $0.1 mg$ in $26.4 h$ , what is the half-life of iodinc- $123$ ? (5.4)

Short Answer

Expert verified

The iodin half-life- $123$ is $13.2 h r$

Step by step solution

Step 1:Introduction

This is due to the radioactive iodine in the drink or capsule being absorbed by your body and picked up by thyroid cancer cells, even if they have spread to other parts of the body. The cancer cells are then destroyed by the radiation.

Step 2:Given data

Given data is amount of radioactive iodine- $123$ , used to treat thyroid cancer, in a sample decreases

To find half-life of iodine- $123$

Step 3:Explanation

$a = 0, 4 m g$

$a - x = 0, 1 mg$

$\begin{aligned} t = 26.4 h \\ t = 26.4 hr \end{aligned}$

$k = \frac{2 \cdot 303}{t} \log (\frac{a}{a - x})$

$k = \frac{0.693}{t \frac{1}{2}}$

$\frac{0.693}{t + 2} = \frac{2.303}{t} \log (\frac{a}{a - x})$

$\frac{0.693}{1} = 2.303 \log (\frac{0.4}{1.1}) = 0.0525$

$t_{2} = (0, 693 (0, 0525) = 13.2 hr$

role="math" localid="1652455078461" $t 1 / 2 = 13.2 h r$

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If the amount of radioactive iodine- $123$ , used to treat thyroid cancer, in a sample decreases from $0.4$ my to $0.1 mg$ in $26.4 h$ , what is the half-life of iodinc- $123$ ? (5.4)

Short Answer

Step by step solution

Step 1:Introduction

Step 2:Given data

Step 3:Explanation

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If the amount of radioactive iodine-123, used to treat thyroid cancer, in a sample decreases from 0.4 my to0.1mg in 26.4h, what is the half-life of iodinc-123? (5.4)

Short Answer

Step by step solution

Step 1:Introduction

Step 2:Given data

Step 3:Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Chemical Reactions

Ionic and Molecular Compounds

Physical Chemistry

Chemical Analysis

The Earths Atmosphere

Kinetics

Study anywhere. Anytime. Across all devices.

If the amount of radioactive iodine- $123$ , used to treat thyroid cancer, in a sample decreases from $0.4$ my to $0.1 mg$ in $26.4 h$ , what is the half-life of iodinc- $123$ ? (5.4)