Nuclear Chemistry - Chem Honors

Nuclear stability

  • changes occur in atom’s nucleus in nuclear reactions

  • strong nuclear force holds protons and neutrons together in nucleus

    • some mass of nucleons converted to energy (E = mc2) - mass defect

  • in larger atoms, nucleus spontaneously breaks apart releasing energy and particles - called radioactivity

  • nuclear symbol

    • lower # = atomic number; upper # = mass number

    • Ex. 238U or uranium-238 or U-238

Ration of protons to neutrons

  • anything over Bi is unstable

Why are some atoms stable?

  • every element has one or more isotopes (isotope is element with dif atomic mass but same atomic number - difference in neutrons)

    • most isotopes are stable and not naturally radioactive

    • some are unstable

  • smaller atoms (elements under element 15) have ration of 1:1 neutrons to protons - stable

  • larger atoms have slightly higher ratio of neutrons to protons of 1.5:1

  • radioactive decay occurs when nucleus is unstable and starts to break apart releasing energy

Radioactive decay

  • spontaneous disintegration (decomposing/breaking down) of nucleus into slightly lighter and more stable nucleus

    • nuclear particles and/or electromagnetic radiation caused from reaction

  • transmutation - change in identity of an element as a result of a change in number of protons

    • Ex. 23890U → 23490U + 42He - shows conservation of mass and charge

  • no stable isotopes of elements with atomic number above Pb-82

    • bismuth and larger are all unstable radioactive isotopes

  • decay of these naturally unstable elements is called natural radioactivity

Alpha decay α

  • emission of an alpha particle by the nucleus

  • least penetrating power

  • equivalent to a helium nucleus - 42He

  • Ex. 21084Po → 20682Pb + 42He

Beta decay β-

  • emission of an electron by the nucleus

  • medium penetrating power

  • equivalent to an electron 0-1e

  • Ex. 146C → 147N + 0-1e

    • 7 and -1 = 6 so conservation of charge

    • neutron decays into proton and electron which is why you gain a proton from C to N

Gamma emission γ

  • emission of high energy electromagnetic waves

  • high penetration power

  • no mass and no charge 00γ

Positron emission β+

  • emission of a positively charged electron

  • lower penetrating power

  • positively charged electron 0+1e

  • Ex. 3819K → 3818Ar + 0+1e

    • opposite of neutron decaying into proton and electron

Electron capture

  • capture of inner orbital electron by nucleus

  • electron combines with proton to form neutron

  • Ex. 10647Ag + 0-1e → 10646Pd

Rays experiment (Rutherford)

  • alpha particles will be attracted to negative plate

  • beta particles will be attracted to positive plate

  • gamma rays will not be affected by the charged field

Radioactive decay series

  • radioactive decay of naturally occurring radioisotopes of heavy elements often initiate chain of successive decay reactions

  • decay series ultimately leads to formation of a stable isotope

Half life

  • time it takes for 1/2 of atoms in a sample of radioactive material to decay (transmute) into another element

    • shorter the half life, more unstable the element

  • half life helps determine how long a sample of a useful isotope will be available

    • Ex. medical scans

  • determine how long a sample of an undesirable isotope must be stored before it decays to a low radiation level

  • Ex. Co-60

    • start with 10g of Co-60

    • after 5.27 years there will be 5 g

    • after 10.54 years there will be 2.5g

    • after 15.81 years there will be 1.25g

Example of a 10g substance with a 6 year 1/2 life

# of 1/2 lives elapsed

Fraction remaining

% remaining

½ life (6 years for example)

Sample remaining (10g for example)

0

1

100

0

10g

1

1/2

50

6

5g

2

1/4

25

12

2.5g

3

1/8

12.5

18

1.25g

4

1/16

6.25

24

0.625g

5

1/32

3.125

30

0.3125g

Examples

  • problem: half life of I-131 is 8 days. what mass remains unchanged from a 400g sample after 32 days?

  • solution:

0 days

400g

8 days

200g

16 days

100g

24 days

50g

32 days

25g

  • problem: half life of 131I is 8 days and 4g remain unchanged after 48 days. what was the mass of original sample and how many half lives have passed?

  • solution:

0 days

256g

8 days

128g

16 days

64g

25 days

32g

32 days

16g

40 days

8g

48 days

4g

  • problem: after 36 minutes, 5g remains from original sample of 40g. calculate half life of nuclide

  • solution:

0 min

40g

12 min

20g

24 min

10g

36 min

5g

  • problem: what fraction of K-42 remains after 24.8 hours

  • solution:

0 hours

1 fraction

12.36 hours

1/2 fraction

24.72

1/4 fraction