Balancing Nuclear Equations: Understanding Nuclear Decay and Reactions, Lecture notes of Law

An overview of nuclear reactions, focusing on balancing nuclear equations during decay and reactions. It covers different types of nuclear decay (alpha, beta-, beta+, and gamma), their effects on atomic number and mass, and the law of conservation of matter. It also includes examples and practice exercises for balancing nuclear equations.

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2021/2022

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Balancing Nuclear Equations
Name: Period:
There are two types of nuclear reactions: Fission, where a nucleus breaks into two or more pieces, and
fusion where two or more nuclei combine to form a new element. In nuclear reactions, only the nucleus is
involved. Electrons are ignored. Some atomic nuclei are inherently unstable and spontaneously change or
“decay”. There are four types of decay:
Type
Symbol
Charge of
particle
Mass(AMU)
Effect on
Atomic #
Effect on Atomic
Mass
Strength
Alpha
α
+2 (He
nucleus)
4
decrease by 2
decrease by 4
Stopped by
paper
Beta-
e- emission
β-
electron
-1
0
increase by 1
0
Aluminum Foil
Beta+
e- capture
β+
Positron
+1
0
decrease by 1
0
Aluminum Foil
Gamma
γ
none
none
none
none
Lead
The net result of α, β- or β+ decay is a new element. In b- decay, a neutron decays into a p+ and an e-
which is then ejected. In β+ decay a p+ captures an e- and transforms into a neutron. But despite the nature
of the reaction the law of conservation of matter still applies and the equations are balanced the same way.
Note α particle is a helium nucleus!
Another type of reaction occurs when something impacts a nucleus. These reactions result either in
the nucleus splitting (fission) or the combination of two or more nuclei to form a third, different nucleus
(fusion).
Balancing Nuclear Equations: Matter must be conserved including all p+ & n˚. Example:
Decay reaction (α decay)
!
86
219Rn "2
4He+84
215Po
Fission Reaction
Fusion Reaction:
!
17
35Cl+1
1
H"18
36Ar
another example
!
1
2H+1
3H"2
4He +no
Practice
Fill in the missing symbol and name the reaction:
1.
!
1
3H"___________+#1
0e
2.
!
92
232U"90
228Th +___________
3.
!
58
144Ce"59
144 Pr+___________
4.
!
30
65Zn "___________++1
0e
5.
!
19
40K"18
40Ar +________
pf3

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Balancing Nuclear Equations Name: Period: There are two types of nuclear reactions: Fission, where a nucleus breaks into two or more pieces, and fusion where two or more nuclei combine to form a new element. In nuclear reactions, only the nucleus is involved. Electrons are ignored. Some atomic nuclei are inherently unstable and spontaneously change or “decay”. There are four types of decay: Type Symbol Charge of particle Mass(AMU) Effect on Atomic # Effect on Atomic Mass Strength Alpha α^ +2 (He nucleus) 4 decrease by 2 decrease by 4 Stopped by paper Beta- e- emission β- electron

  • 1 0 increase by 1 0 Aluminum Foil Beta+ e- capture β+ Positron +1 0 decrease by 1 0 Aluminum Foil Gamma γ^ none none none none Lead The net result of α, β- or β+ decay is a new element. In b- decay, a neutron decays into a p+ and an e- which is then ejected. In β+ decay a p+ captures an e- and transforms into a neutron. But despite the nature of the reaction the law of conservation of matter still applies and the equations are balanced the same way. Note α particle is a helium nucleus! Another type of reaction occurs when something impacts a nucleus. These reactions result either in the nucleus splitting (fission) or the combination of two or more nuclei to form a third, different nucleus (fusion). Balancing Nuclear Equations: Matter must be conserved including all p+ & n˚. Example: Decay reaction (α decay) ! 86 219 Rn " 2 4 He + (^84) 215 Po Fission Reaction

0 1

n + 92

235

U " 36

92

Kr + 56

141

Ba + 30

1

n

Fusion Reaction:

17 35

Cl + 1

1

H " 18

36

Ar another example

! 1 2 H + 1 3 H " 2 4 He + n o Practice Fill in the missing symbol and name the reaction:

! 1 3 H " ___________+# 1 0 e

!

U " (^90)

Th + ___________

!

Ce " (^59)

Pr+ ___________

! 30 65 Zn " ___________++ 1 0 e

K " 18

Ar + ________

! 4 7 Be " 4 7 Be + ________

! 0 1 n + (^92) 235 U " __________" (^55) 141 Cs + 37 92 Rb + ___________

! 86 222 Rn " _______+ 2 4 He

! 53 129 I " (^54) 129 Xe + ________

! 94 239 Pu " _________+ 2 4 He 11 ! 8 15 O " (^7) 15 N + ________

  1. Write a balanced nuclear equation for each decay process indicated. a. The isotope Th-234 decays by an alpha emission. b. The isotope Fe-59 decays by a beta emission. c. The isotope Tc-99 decays by a gamma emission. d. The isotope C-11 decays by a electron capture. Balance these equations: Note ! 2 (^4) He is the only stable isotope of helium.

! 1 1 H + 3 7 Li " 14. ! 4 7 Be + n o " ______ H + _______He

  1. What is the balanced nuclear equation for the reaction of curium-246 with carbon-12 to produce nobelium-254 and four neutrons?
  2. What is the balanced nuclear equation for the reaction of californium-250 with boron-10 to produce lawrencium-258 and two neutrons?