Chapter 5: Q. 5.68 (page 165)

The hall-life of oxygen- $15$ is $124 s$ . If a sample of oxygen- $15$ has an activity of $4000 Bq$ , hos many minutes will elapse before it has an activity of $5000 Bq$ ? $(5, 4)$

Short Answer

Expert verified

It takes $6.2$ minutes to reach the activity of $500 B q$

Step by step solution

Step 1- Introduction

Half-life is the time it takes for half of a given radioactive material to decay. The half-life of oxygen- $15$ is said to be $124$ seconds.

Step 2- Explanation (part a)

The activity of a given oxygen sample $15$ is $4000$ becquerels.

Becquerel is a unit of radioactivity.

The symbol of Becquerel is $B q$ .

After a period of time, the activity of oxygen15 islocalid="1652171100442" $500 B q$ .

Step 3- Explanation (part b)

Calculate the number of half-lives to reach the activity of $500 B q$ , as shown below.

$4000 Bq \overset{thatfake}{⟶} 2000 Bq \overset{2hurfive}{⟶} 1000 Bq \overset{3hatflive}{⟶} 500 Bq$

Therefore, three half-lives elapse before reaching the activity of $500 B q$ . The half-life is equivalent to $124 $ .$

Step 4- Explanation (part c)

Calculate the time required for the three half-lives and convert to minutes, as shown below.

3 half-lives = 3 hatf-tives \times \frac{124, 5}{1 hatf-ife} \times \frac{1 \min}{60 s}

$= 6.2 \min$

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The hall-life of oxygen- $15$ is $124 s$ . If a sample of oxygen- $15$ has an activity of $4000 Bq$ , hos many minutes will elapse before it has an activity of $5000 Bq$ ? $(5, 4)$

Short Answer

Step by step solution

Step 1- Introduction

Step 2- Explanation (part a)

Step 3- Explanation (part b)

Step 4- Explanation (part c)

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The hall-life of oxygen- 15is 124s. If a sample of oxygen- 15has an activity of 4000Bq, hos many minutes will elapse before it has an activity of 5000Bq? (5,4)

Short Answer

Step by step solution

Step 1- Introduction

Step 2- Explanation (part a)

Step 3- Explanation (part b)

Step 4- Explanation (part c)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Inorganic Chemistry

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Study anywhere. Anytime. Across all devices.

The hall-life of oxygen- $15$ is $124 s$ . If a sample of oxygen- $15$ has an activity of $4000 Bq$ , hos many minutes will elapse before it has an activity of $5000 Bq$ ? $(5, 4)$