Bundle: Inquiry into Physics, Loose-Leaf Version, 8th + WebAssign Printed Access Card for Ostdiek/Bord's Inquiry into Physics, 8th Edition, Single-Term
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Chapter 11, Problem 12P
To determine

The other nuclei formed apart from neutron particle when iron − 58 and bismuth - 209 undergoes a nuclear fusion reaction?

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Answer to Problem 12P

The other nuclei formed apart from neutron particle when iron − 58 and bismuth − 209 undergoes a nuclear fusion reaction is M109206t and the reaction is given by F2658e + B83209i M109206t +n01 .

Explanation of Solution

Given info:

Number of protons in F2658e

= 26

Mass Number of F2658e

= 58

Number of protons in B83209i

= 83

Mass Number of B83209i

= 209

Number of protons in neutron particle

= 0

Mass Number of neutron particle

= 1.

Formula used:

Atomic number and mass number before and after nuclear reaction remains the same i.e. ZReactant=ZProductAReactant=AProduct

Where, Z is the atomic number and A is the mass number.

Calculation:

According to the nuclear fusion of iron − 58 and bismuth - 209 the reaction can be represented as,

F2658e + B83209i Xaz +n01 

Total number of protons (equal to the atomic number) of reactants are,

ZReactant= ZF 26 58e + ZB 83 209iZReactant= 26+83ZReactant= 109

Total number of protons (equal to the atomic number) of products are,

ZProduct= Zn01 + zZProduct= 0 + z

Substituting the values in formula,

ZReactant= ZProduct109 = 0 + z109 = z

Hence the atomic number of the daughter nuclei is 109.

Total mass number of reactants are,

AReactant= AF 26 58e + AB 83 209iAReactant= 58+209AReactant= 267

Total mass number of products are,

AProduct= An01 + a AProduct= 1 + a

Substituting the values in formula,

AReactant= AProduct267 = 1 + a266 = a

Hence the mass number of the daughter nuclei is 266.

Therefore, the daughter nuclei is M109206t

The reaction thus can be represented as,

F2658e + B83209i M109206t +n01 .

Conclusion:

Thus, the other nuclei formed apart from neutron particle when iron − 58 and bismuth − 209 undergoes a nuclear fusion reaction is M109206t and the reaction is given by F2658e + B83209i M109206t +n01 .

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Chapter 11 Solutions

Bundle: Inquiry into Physics, Loose-Leaf Version, 8th + WebAssign Printed Access Card for Ostdiek/Bord's Inquiry into Physics, 8th Edition, Single-Term

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