The fraction of sample remaining after one half-life.

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Answer 1

Question

Chapter 29, Problem 3CQ

(a)

To determine

The fraction of sample remaining after one half-life.

(b)

To determine

The fraction of sample remaining after two half-lives.

(c)

To determine

The fraction of sample remaining after three half-lives.

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What fraction of a radioactive sample remains after (a) one, (b) two, and (c) three half-lives have elapsed?

Radioactive substances follow a specific law of decay. Namely, if you have a sample of some radioactive isotope, the quantity left after a certain time, called the half-life and denoted T1/2, is one-half of what you had initially. If you wait a second half-life, then there will be half f what was left at the end of the first half-life. Since 1/2-1/2 = 1/4, you will have one-fourth of the original quantity left after two half-lives. You can continue with this procedure to find the fraction of the original sample that hasn't decayed after any number of half- lives. However, this would become quite cumbersome if you are interested in the quantity left after, say, 10 half-lives. In this case, the quantity you are looking for would be found by multiplying the original quantity by 10 factors or 1/2. To solve this problem, we use exponents. An exponent, a small number written above and to the right, tells you how many copies of a particular number are multiplied together. In our example,…

A radioactive source consists of 6.4 x 10^11 atoms of a nuclide of a half-life of 2 days. A second source consists of 8.0 x 10^10 atoms of another nuclide of half-life 3 days. After how many days will the number of radioactive atoms in the two sources are equal *

Answer 2

Question

Chapter 29, Problem 3CQ

(a)

To determine

The fraction of sample remaining after one half-life.

(b)

To determine

The fraction of sample remaining after two half-lives.

(c)

To determine

The fraction of sample remaining after three half-lives.

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Answer 3

Question

Chapter 29, Problem 3CQ

(a)

To determine

The fraction of sample remaining after one half-life.

(b)

To determine

The fraction of sample remaining after two half-lives.

(c)

To determine

The fraction of sample remaining after three half-lives.

Expert Solution & Answer

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Answer 4

Question

Chapter 29, Problem 3CQ

(a)

To determine

The fraction of sample remaining after one half-life.

(b)

To determine

The fraction of sample remaining after two half-lives.

(c)

To determine

The fraction of sample remaining after three half-lives.

Expert Solution & Answer

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Answer 5

Chapter 29, Problem 3CQ

(a)

To determine

The fraction of sample remaining after one half-life.

(b)

To determine

The fraction of sample remaining after two half-lives.

(c)

To determine

The fraction of sample remaining after three half-lives.

Answer 6

Chapter 29, Problem 3CQ

(a)

To determine

The fraction of sample remaining after one half-life.

Answer 7

Chapter 29, Problem 3CQ

(a)

To determine

The fraction of sample remaining after one half-life.

Answer 8

(b)

To determine

The fraction of sample remaining after two half-lives.

Answer 9

(b)

To determine

The fraction of sample remaining after two half-lives.

Answer 10

(c)

To determine

The fraction of sample remaining after three half-lives.

Answer 11

(c)

To determine

The fraction of sample remaining after three half-lives.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 29.3 - Prob. 29.1QQ Ch. 29.3 - What fraction of a radioactive sample has decayed...Ch. 29.3 - Prob. 29.3QQ Ch. 29.6 - Prob. 29.4QQ Ch. 29.6 - Prob. 29.5QQ Ch. 29 - Prob. 1CQ Ch. 29 - Prob. 2CQ Ch. 29 - Prob. 3CQ Ch. 29 - Prob. 4CQ Ch. 29 - Prob. 5CQ

The fraction of sample remaining after one half-life.

Solution Summary: The author explains that the tion of sample remaining after one half-life is 1/2, and that it's 1/8.

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The fraction of sample remaining after one half-life.

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