15
Video on scale of universe Excellent Flash on biological cells Excellent Flash on scale of universe Atomic Structure Atomic Size radius Order of magnitude – (10 -10 – 10 -12 )m Radius Li atom – (1.5 x 10 -10 )m Radius nucleus – (1 x 10 -14 )m Scale of matter from smallest to largest 1nm – 1 x 10 -9 m 1pm – 1 x 10 -12 m 1A - 1 x 10- 10 m Radius Li atom Radius Nucleus Li atom Elementary particles making up nucleon (protons + neutrons) Nucleon - (proton + neutron) Proton – 2 up quark + 1 down quark Neutron – 2 down quark + 1 up quark Unit conversion

Option C Nuclear Physics, Radioactive decay and half life

Embed Size (px)

Citation preview

Video on scale of universe Excellent Flash on biological cells Excellent Flash on scale of universe

Atomic Structure

Atomic Size radius Order of magnitude – (10-10– 10-12)m

Radius Li atom – (1.5 x 10-10)m Radius nucleus – (1 x 10-14)m

Scale of matter from smallest to largest

1nm – 1 x 10-9 m 1pm – 1 x 10-12 m 1A - 1 x 10-10 m

Radius Li

atom

Radius Nucleus

Li atom Elementary particles making up nucleon (protons + neutrons)

Nucleon - (proton + neutron) Proton – 2 up quark + 1 down quark Neutron – 2 down quark + 1 up quark

Unit conversion

Video on new particles physics

Atomic Structure

1nm – 1 x 10-9 m 1pm – 1 x 10-12 m 1A - 1 x 10-10 m

Radius Li

atom

Radius Nucleus

Li atom Elementary particles making up nucleon (protons + neutrons)

Unit conversion

Structure within atom Discovery particles with help of Large Hadron Collider

Nucleon - (proton + neutron) Proton – 2 up quark + 1 down quark Neutron – 2 down quark + 1 up quark

Atomic Size radius Order of magnitude – (10-10– 10-12)m

Radius Li atom – (1.5 x 10-10)m Radius nucleus – (1 x 10-14)m

Video on new particles physics

Higgs Boson Discovery Wins Nobel Prize for Physics

Video on Higgs field part 2

Video on Higgs field part 1

Video on timeline discovery Structure within atom

Recent discovery particles from Large Hadron Collider

Higgs boson leftover excitation of particles of Higgs field

Discovery of Higgs boson and Higgs field

Particles interact with Higgs field to produce mass

Video on NOBEL PRIZE 2013 !!!!!!

Discovery timeline to Quantum model Discovery of elementary particles Elementary particles

Video (Minute physics) Video (Ted Talk) Video (RI) Video (Veratasium)

Video on Higgs field

Elementary particles Structure within atom Recent discovery particles from

Large Hadron Collider

Higgs boson leftover excitation of particles of Higgs field

Discovery of Higgs boson and Higgs field

Particles interact with Higgs field to produce mass

Mass (proton + neutron)- due to interaction bet up quarks/down quarks with gluons (energy fluatution)

Proton -2 up quarks

1 down quark

Neutron -1 up quark

2 down quarks

What is Higgs Boson ? What is Higgs Field ?

Excellent videos –Particles interact with Higgs field create MASS

Nuclear reaction vs Chemical rxn

Nuclear rxn Involve proton/neutron in nucleus

Decomposition of nucleus into smaller nuclei Energy released greater

Conservation of charge/atomic mass number

Chemical rxn Involve outer most elec

Transfer/sharing/loss of elec Energy released less

Conservation of mass and charge

2Na + CI2 2NaCI

Type radiation

Nature radiation

Symbol Penetration (mass,m/charge,e)

Ionising power (removing electron)

Alpha Helium nucleus

α Low ratio (high m/e)

High

Beta High energy electron

β Moderate Moderate

Gamma High frequency electromagnetic

radiation

γ High ratio (small m/e)

Low

Type of radiation

Nuclear equation- decay of nucleus Chemical equation – valence electron

Transfer electrons

Sharing electrons

Nuclear rxn

Alpha Decay Losing an alpha particle – helium nucleus Daughter nuclei lower in proton number

Mass of 4 (2 proton + 2 neutron) +2 charged (only 2 protons) = +2

Decay of uranium, thorium, actinium

Beta Decay Losing beta particle –Electron/positron

Daughter nuclei higher in proton number Negative charge (-1)

Decay neutron proton + electron

Alpha Decay Beta Decay

Gamma Decay

Gamma decay Losing γ particle - EM radiation high frequency

Daughter nuclei no change in atomic mass

α β

Unstable nucleus atom Decay by emitting ionizing particles

+

Video on γ decay Video on β decay Video on α decay

Alpha, Beta, Gamma Radiation

Alpha Decay Lose alpha particle – helium nucleus

Mass He- 4 (2 proton + 2 neutron) +2 charged (2 proton + 2 neutron + 0 e)

Daughter nuclei lower in proton number

Beta Decay Lose beta particle –Electron/beta β

Negative charge (-1) -1 charged (β / electron)

Daughter nuclei higher in proton number

Gamma decay Lose γ particle –EM radiation of high frequency

Daughter nuclei no change in atomic mass

Nucleus > 84 proton Unstable, radioactive decay

Decay depend ratio neutron/proton

Decay depend ratio neutron/proton Neutron/proton ratio LOW – Proton rich

Decay to reduce proton Alpha decay, α (proton number )

Mass number alway Conserved

Decay depend ratio neutron/proton Neutron/proton ratio HIGH – Neutron rich

Decay to reduce neutron Beta decay β ( Neutron Proton + electron)

Ratio decrease

Decay depend ratio neutron/proton Neutron/proton ratio HIGH /LOW

Gamma decay γ, is associated along with Alpha and Beta

Radioactive isotopes Half-life

Uranium 238 4.5 x 109

Carbon-14 5.7 x 103

Radium-226 1.6 x 103

Strontium-90 28 years

Iodine-131 8.1 days

Bismuth-214 19.7 minutes

Polonium-214 1.5 x 10-4

Isotopes

Stable Isotopes Unstable Isotopes

Unstable Isotopes – emit radiation

RADIOISOTOPES

Simulation isotope 12C, 13C, 14C

Radioisotopes Half-life – time taken for conc/amt/number/activity isotope to fall to half of its original value. Half life decay – always constant

Shorter half-life More unstable, decay fast

Long half-life More stable, decay slowly

Emit radiation form unstable isotope

Simulation isotope 1H, 2H, 3H

Video on Half life

Simulation half life C-14/uranuim

Half-life

Conc/amt/number/activity

Carbon – 3 Isotopes

Radiocarbon/carbon dating

Half life C-14 = 5730 yr Beta (β/electron ) decay

Conclusion Ratio C14/C12 constant is organism alive

Ratio C14/C12 drop organism die

Uses Age dead organic fossil contain Carbon

Max age limit 60,000 yrs old.

Abundance – 99% (Stable) Abundance – 1% (Stable) Abundance – trace amt (Unstable , radioactive)

How is form? • C-14 produce in stratosphere when neutron hit nitrogen atom to form C-14 •C-14 to N-14 by converting neutron proton (proton stay in nucleus), electron emit as β radiation • emit as β ray.

(proton in nucleus – increase proton number)

emit as β ray. •Ratio C14/C12- constant if alive – TAKE in C14 (C12 constant) •Ratio C14/C12- drop if dead - NOT taking C14. (C12 constant)

How it is form?

Carbon -12 Carbon -13 Carbon -14

Click to view simulation

Radiocarbon/carbon dating

Half life C-14 = 5730 yr Beta (β/electron ) decay

Carbon -14

Abundance – trace amt (Unstable , radioactive)

How is form? • C-14 produce in stratosphere when neutron hit nitrogen atom to form C-14 •C-14 to N-14 by converting neutron proton (proton stay in nucleus), electron emit as β radiation • emit as β ray.

(proton in nucleus – increase proton number)

emit as β ray. •Ratio C14/C12- constant if alive – TAKE in C14 (C12 constant) •Ratio C14/C12- drop if dead - NOT taking C14. (C12 constant)

Video C-14 Carbon Dating Video C-14 Carbon Dating Video C-14 Half life Carbon Dating

Simulation C-14 (Half life) At 100% (Starting)

Simulation C-14 (Half life) At 50% (Starting)

Video Radiocarbon dating

How Radiocarbon dating work?

Video on Radio tracer

Radiocarbon/carbon dating

Half life C-14 = 5730 yr

Carbon -14

Beta (β/electron) decay

Video on C-14 Carbon Dating

Video Radiocarbon dating

How Radiocarbon dating work?

Uses of radioactive isotopes

Radiotherapy/cancer/tumour Tracers/studying metabolic pathways

Cobalt-60

Half life Co-60 = 5.27 yr Half life I-131 = 8 days

How Gamma rays works? How Radio tracer works?

Iodine-131

Sterilization – killing bacteria/germ Radiotherapy – kill tumor cells

High energy electromagnetic ray

Gamma γ + β decay

Carbon dating Age of fossil remains

Radio tracer Trace pathway in body

Beta β (90%) and γ (10%) decay

Gamma γ + β decay

Radioactive decay Half life formula

tA

A

o

t ][

][ln

t

t

t

o

t

eAA

eA

A

0][][

][

][

2ln2/1 t

2/15.0t

t

oAA

][. AdecayRate

First order

n

oAA 5.0

Final conc

Decay constant

Half life

Initial conc

Time

Half-life – time taken for conc/amt/number/activity isotope to fall to half of its original value. Half life decay – always constant

Bismuth-212 half life 1 hr. How long take for 16 g sample to decay, so 1g remain

Time/h Mass left/g

0 16

1 8

2 4

3 2

4 1

Time = 4h

method 1 method 2

hrtime

e

eA

A

t

t

o

t

4

16

1

][

][

693.0

693.01

693.0

2ln

2/1

t

Initial conc isotope sample is 1.4 10-6 M . Find half life, if conc left is 1.365 x 10-6M after 2 hr

1

6

6

0126.0

2]104.1[

]10365.1[ln

][

][ln

hr

tA

A

o

t

hrt

t

550126.0

2ln

2ln

2/1

2/1

Number Half life

Explain why it is impossible to state how long an individual uranium to decay

Time for individual atom to decay is not fixed. Half life is average time for many diff atoms

Radioactive decay Half life formula

tA

A

o

t ][

][ln

t

t

t

o

t

eAA

eA

A

0][][

][

][

2ln2/1 t

2/15.0t

t

oAA

][. AdecayRate

First order

n

oAA 5.0

Final conc

Decay constant

Half life

Initial conc

Time

Number Half life

Rn half life 1620 yrs. Find decay constant Deduce proportion of sample remain after 100yr

%8.95958.0][

][

][

][

][

][

100000428.0

o

t

o

t

t

o

t

A

A

eA

A

eA

A

1

2/1

000428.01620

693.0

2ln

yr

t

2ln2/1 t

Rn half life 1622 yrs. Find how long it will take a sample to decay to 10% of its original sample

2ln2/1 t

1

2/1

000427.01622

693.0

2ln

yr

t

yrstime

e

eA

A

t

o

t

t

o

t

5392

%]100[

%]10[

][

][

000427.0

An isotope has half life of 69 yr. Find how long it take for activity in waste to decrease by 99%

2ln2/1 t

1

2/1

01.069

693.0

2ln

yr

t

yrstime

e

eA

A

t

o

t

t

o

t

461

]100[

]1[

][

][

01.0

[A]t = (100 – 99) = 1%

Potassium-argon rock dating. Potassium decay to argon, argon is trap in rock.

A sample contain 7 x 1010 potassium, 3 x 1010 argon. Cal original potassium present and age of rock. Half life

potassium = 1.26 x 109

Initial potassium = (7 x1010 + 3 x 1010) = 10 x 1010

19

9

2/1

1055.01026.1

693.0

2ln

yr

t

yrtime

t

tA

A

o

t

o

t

8

9

10

10

1047.6

1055.0]1010[

]107[ln

][

][ln

tA

A

o

t ][

][ln

t

t

t

o

t

eAA

eA

A

0][][

][

][

2ln2/1 t

2/15.0t

t

oAA

][. AdecayRate

First order

n

oAA 5.0

Final conc

Decay constant

Half life

Initial conc

Time

Piece wood found to have activity of 10 cpm g-1 of carbon . New wood has count of 15 cpm g-1. Half life C-14 is 5570 yr. Find

age of wood.

yrstime

e

eA

A

t

o

t

t

o

t

3270

]15[

]10[

][

][

000124.0

1

2/1

000124.05570

693.0

2ln

yr

t

2ln2/1 t

Mass sample was measured, and re-measured 120 days later. 56% of original sample remain. Find half life

2ln2/1 t

dayst

t

14300483.0

693.0

2ln

2/1

2/1

100483.0

120%]100[

%]56[ln

][

][ln

day

tA

A

o

t

o

t

Sample half life 0f 8hr has activity of 450 unit after 48hr. Find original activity

2/15.0t

t

oAA n

oAA 5.0Number Half life n = 48/8 = 6

unitA

A

AA

o

o

t

t

o

28846

5.0450

5.0

8

48

2/1

unitA

A

AA

o

o

n

o

28846

5.0450

5.0

6

Sr -90 half life of 28 yr. Find how much sample left after 280 yr

2/15.0t

t

oAA n

oAA 5.0Number Half life n = 280/28 = 10

%098.0

5.0

5.0

28

280

2/1

o

o

t

t

o

A

A

AA

AA

%098.0

5.0

5.0

10

o

o

n

o

A

A

AA

AA

Radioactive decay Half life formula

Number Half life

yrstime

t

tA

A

o

t

22460

000121.060

4ln

][

][ln

% material decay 100% – 0.1% = 99.9% decay

Radioactive decay Half life formula

tA

A

o

t ][

][ln

t

t

t

o

t

eAA

eA

A

0][][

][

][

2ln2/1 t

2/15.0t

t

oAA

][. AdecayRate

First order

n

oAA 5.0

Final conc

Decay constant

Half life

Initial conc

Time

Piece wood found to have activity of 6 cpm g-1 of carbon . New wood has count of 15 cpm g-1. Half life C-14 is 5280 yr.

Find age of wood.

yrstime

e

eA

A

t

o

t

t

o

t

6980

]15[

]6[

][

][

000131.0

1

2/1

000131.05280

693.0

2ln

yr

t

2ln2/1 t

Fission product from nuclear shd be isolated for 10 half life. Find fraction radioactive remain after this time.

Deduce % material decay in this time

C-14 in atmosphere produce 60 count hr-1g-1. Sample sea shell found to have 4 count hr-1 g-1. estimate age of shell. Half life C-14 is 5730yr

Pu half life 88yr. Explain why activity sample is constant over 1 yr. Find % sample remain after 20 yrs.

n

oAA 5.0Number Half life n = 10

%1.0

5.0

5.0

10

o

o

n

o

A

A

AA

AA

remain

2ln2/1 t

1

2/1

000121.05730

693.0

2ln

yr

t

1 yr short compare to half-life, 88 yr, Pu activity doesnt change much

2ln2/1 t

1

2/1

007877.088

693.0

2ln

yr

t

854.0][

][

][

][

][

][

20007877.0

o

t

o

t

t

o

t

A

A

eA

A

eA

A

= 85.4 %

Number Half life