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Half Life Calculations

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

What is the half-life of iodine-131?

a)

32 days

b)

8 days

c)

16 days

d)

24 days

2.

The % of the parent isotope remaining after 1 Half Life.

a)

50%

b)

25%

c)

12.5%

d)

6.25%

3.

The diagram shows 32 atoms

32 of the Red are the parent isotope

0 of the atoms are daughter isotopes

How many half-lives have occurred?

a)

0

b)

1

c)

2

d)

3

4.

The diagram shows 32 atoms.

16 of the Red are parent isotopes

16 of the Green are daughter isotopes

How many half-lives have occurred?

a)

0

b)

1

c)

2

d)

3

5.

If 20 g of copper-64 has a half-life of 13 hours, what mass of copper-64 will remain after 26 hours?

a)

20 g

b)

10 g

c)

5 g

d)

2.5 g

6.

How many seconds does it take a 100.0g sample of Arsenic-81, with a half-life of 33.0 seconds, to decay to 6.250g?

7.

How much of an 80 g sample will remain after 21.2 years?

a)

40 g

b)

20 g

c)

10 g

d)

5 g

8.

An isotope of cesium 138 has a half-life of 30 years. If 1.00 g of cesium-138 disintegrates over a period of 90 years, how many grams of cesium-138 would remain?

9.

A radioactive isotope has a half-life of 2.5 years. Match the correct fraction of the original mass that remains unchanged after the given amount of years

a)

12.5 years

1.

1/32 radioactive

b)

10 years

2.

1/16 radioactive

c)

7.5 years

3.

1/8 radioactive

d)

5 years

4.

1/4 radioactive

e)

2.5 years

5.

1/2 radioactive

10.

When an isotope goes through 2 half-lives, _____ _________________ remains

a)

1/4 or 25%

b)

1/2 or 50%

c)

1/8 or 12.5%

11.

What percent of carbon-14 would be left after 11,460 years?

a)

100%

b)

75%

c)

50%

d)

25%

12.

When an isotope goes through 4 half-lives, _____ _________________ remains

a)

1/4 or 25%

b)

1/8 or 12.5%

c)

1/16 or 6.25%

13.

You have 100 grams of radioactive C-14. The half life of C-14 is 5715 years. 
How many grams are left after each half life? 

a)

1 half life

1.

50g or 1/2

b)

2 half lives

2.

25g or 1/4

c)

3 half lives

3.

12.5g or 1/8

d)

4 half lives

4.

6.25g or 1/16

14.

You collected a sample of a rock and it had 25% remaining of a radioactive element with a half life of 60 years. How old was that rock sample?

(a)  

15.

If 20 g of copper-64 has a half-life of 13 hours, what mass of copper-64 will remain after 39 hours? ( Drag the answer to the space.)​ ​ (a)  

Choose from the below words

2.5 g

20 g

10 g

1.25 g

5 g

0.625

16.

Ge-81 emits beta particles and has a half-life of 7.6 seconds.

Determine the time required for a 16.00-gram sample of Ge-81 to decay until only 1.00 gram of the sample remains unchanged.

a)

1 grams

1.

1/16 radioactive

b)

2 grams

2.

1/8 radioactive

c)

4 grams

3.

1/4 radioactive

d)

8 grams

4.

1/2 radioactive

e)

16 grams

5.

Completely radioactive

17.

What is the Half life of this isotope?

a)

5 seconds

b)

10 seconds

c)

15 seconds

d)

20 seconds

18.

What is the Half Life of this isotope?

a)

3 days

b)

5 days

c)

8 days

d)

10 days

19.

Imagine you have 50,000 atoms of uranium-238. If U-238 has a half-life of 4.5 billion years, how many U-238 atoms will be left after 4.5 billion years? 

a)

25,000

b)

50,000

c)

12,500

d)

0

20.

The mass of a parent isotope is 100 g. How many grams of the parent isotope will remain after 2 half-lives?

a)

25

b)

50

c)

12.5

d)

0

21.

A 50.0 g sample of a radioactive element has a half-life of 40 years. How much mass will be left after 80 years?

a)

50

b)

25

c)

12.5

d)

6.25

22.

A radioactive substance has a half-life of 10 years. If you start with 80 grams, how much will remain after 30 years?

a)

10 grams

b)

20 grams

c)

40 grams

d)

5 grams

23.

The half-life of a certain isotope is 5 years. If you have 200 grams initially, how many grams will remain after 15 years?

a)

25 grams

b)

50 grams

c)

100 grams

d)

12.5 grams

24.

A scientist measures a sample and finds that only 1/8 of the original radioactive material remains. If the half-life of the material is 3 years, how many years have passed?

a)

3 years

b)

6 years

c)

9 years

d)

12 years

25.

If a radioactive isotope has a half-life of 8 days, how many days will it take for a sample to decay from 160 grams to 10 grams?

a)

24 days

b)

32 days

c)

40 days

d)

48 days