Half-Life Answers

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The original amount of a radioactive sample should be multiplied by which expression to calculate the amount of the sample that remains after n half-lives have passed?

A
(one half) times n.
Option A
B
(StartFraction 1 over n EndFraction) squared.
Option B
C
(one half) superscript n.
Option C
D
StartFraction 1 over (2 n) EndFraction.
Option D
2
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Which statement is true about radiocarbon dating?

A
After it dies, an organism’s body continues to intake C-14.
B
Radiocarbon dating is useful for dating objects up to 100,000 years old.
C
Radiocarbon dating assumes that half-life for radioisotopes change over time.
D
The half-life of C-14 is 5,730 years.
3

A meteorite contains 0.17 g of nickel-59, a radioisotope that decays to form cobalt-59. The meteorite also contains 5.27 g of cobalt-59. How many nickel-59 half-lives have passed since the meteorite formed?

A
1
B
5
C
5.1
D
5.44
4

How much of a sample remains after three half-lives have occurred?

A
1/16 of the original sample
B
1/9 of the original sample
C
1/8 of the original sample
D
1/3 of the original sample
5

Sodium-24 has a half-life of 15 hours. After 45 hours, how much sodium-24 will remain of an original 50.0-g sample?

A
5.56 g
B
6.25 g
C
16.7 g
D
25.0 g
6

The table below shows a list of radioisotopes and their half-lives.The radioisotope that has the longest half-life is the best to use in powering planet and space exploration vehicles because they can travel farther. Which radioisotope is the best to use?

Question illustration
A
lithium-5
B
uranium-240
C
carbon-14
D
plutonium-239
7

An article about half-lives describes a parent isotope. What is a parent isotope?

A
the isotope that forms from the radioactive decay of a less stable isotope
B
the isotope that forms from the radioactive decay of a more stable isotope
C
an isotope that undergoes radioactive decay to form a less stable isotope
D
an isotope that undergoes radioactive decay to form a more stable isotope
8

Niobium-91 has a half-life of 680 years. After 2,040 years, how much niobium-91 will remain from a 300.0-g sample?

A
3 g
B
18.75 g
C
37.5 g
D
100.0 g
9

Carbon-14 has a half-life of 5,730 years. How long will it take for 112.5 g of a 120.0-g sample to decay radioactively?

A
5,730 years
B
11,460 years
C
17,190 years
D
22,920 years
10

A sample contains 10.5 g of the radioisotope Pb-212 and 157.5 g of its daughter isotope, Bi-212. How many half-lives have passed since the sample originally formed?

A
4
B
14
C
15
D
147.5

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