some elements have atoms which are unstable. these atoms spontaneously transmutate from one element...

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Page 1: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include
Page 2: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Some elements have atoms which are unstable.These atoms spontaneously transmutate from one element to another.These types of transmutations include beta decay, electron capture and alpha decay.Alpha decay involves the emission of a helium nucleus.

92

235U 2

4He +

90

231Th

Page 3: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Different radioactive isotopes decay at different rates.If 100 g of a radioactive material decays for 10 years and 50 g remains this substance is said to have a half life of 10 years.

5 y 5 y

After 10 y only 50 g remain

If 200 g of a radioactive material with a half-life of 5 years, is left to decay for 10 years how much of the original material is left?

200 g -------> 100 g -------> 50 g

Page 4: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

If 200 g of a radioactive material with a half-life of 5 years, is left to decay for 10 years how much of the original material is left?

200 g ------->

200 g

Page 5: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

If 200 g of a radioactive material with a half-life of 5 years, is left to decay for 10 years how much of the original material is left?

200 g -------> 100 g

100 g left after 5 years

Page 6: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

If 200 g of a radioactive material with a half-life of 5 years, is left to decay for 10 years how much of the original material is left?

200 g -------> 100 g -------> 50 g

50 g left after 10 years

Page 7: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

If 200 g of a radioactive material with a half-life of 5 years, is left to decay for 10 years how much of the original material is left?

200 g -------> 100 g -------> 50 g ----> 25g

25 g left after 15 years

Page 8: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

512 g

Page 9: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

256 g

512 g ---> 256 g25 da

Page 10: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

128 g

512 g ---> 256 g ---> 128 g25 da 25 da

Total - 50 da

Page 11: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

64 g

512 g ---> 256 g ---> 128 g ---> 64 g25 da 25 da 25 da

Total - 75 da

Page 12: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

32 g

512 g ---> 256 g ---> 128 g ---> 64 g ---> 32 g25 da 25 da 25 da 25 da

Total - 100 da

Page 13: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

16 g

512 g ---> 256 g ---> 128 g ---> 64 g ---> 32 g25 da 25 da 25 da 25 da

Total - 125 da 16 g25 da

Page 14: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

512 g ---> 256 g ---> 128 g ---> 64 g ---> 32 g25 da 25 da 25 da 25 da

Total - 150 da 16 g25 da

8 g

8 g

25 da

Page 15: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

512 g ---> 256 g ---> 128 g ---> 64 g ---> 32 g25 da 25 da 25 da 25 da

Total - 175 da 16 g25 da

4 g

8 g

25 da

4 g

25 da

Page 16: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

512 g ---> 256 g ---> 128 g ---> 64 g ---> 32 g25 da 25 da 25 da 25 da

Total - 200 da 16 g25 da

2 g

8 g

25 da

4 g

25 da

2 g25 da

Page 17: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

Show the decay sequence for 512 g of a substance with a half-life of 25 da.

512 g ---> 256 g ---> 128 g ---> 64 g ---> 32 g25 da 25 da 25 da 25 da

Total - 225 da 16 g25 da

1 g

8 g

25 da

4 g

25 da

2 g25 da

1 g25 da

Page 18: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

If U-235 has a half-life of 7.1 x 108 y. How many years would it take 32 g to decay to 2 g?32 g --> 16 g --> 8 g --> 4 g --> 2 g4 half lifes2.84 x 109 y.

Cs-136 has a half-life of 13 da. If 1024 g was left to decay for 65 da how much of the original material would be left?65/13 = 5 hl1024 g -> 512 g -> 256 g -> 128 g -> 64 g -> 32 g

or 1024 g x (1/2)5 = 32 g

Page 19: Some elements have atoms which are unstable. These atoms spontaneously transmutate from one element to another. These types of transmutations include

To find the quantity of material remaining use this formula

Massremaining =

OriginalMass

x 12

# of Half-lives

Pb-212 has a half-life of 10.6 h. If 12.5 g of Pb-212 is left for 84.8 h how much of the original material is left?

Massremaining =

OriginalMass

x 12

# of Half-lives

12.5 g x (0.5)84.8/10.6

= 0.0488 g