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A nuclear fission reaction is represented by the following statement - Scottish Highers Physics - Question 11 - 2018

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A nuclear fission reaction is represented by the following statement. $$ \begin{aligned} & { }^{1}_{0}n + \;{ }^{235}_{92}U \rightarrow \;{ }^{144}_{56}Ba + X + 3 ... show full transcript

Worked Solution & Example Answer:A nuclear fission reaction is represented by the following statement - Scottish Highers Physics - Question 11 - 2018

Step 1

Determine the Total Atomic Number and Mass Number

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Answer

First, identify the atomic numbers and mass numbers in the reaction.

  • For the reactants:
    • Neutron: Atomic number = 0, Mass number = 1
    • Uranium-235: Atomic number = 92, Mass number = 235

Total atomic number = 0 + 92 = 92 Total mass number = 1 + 235 = 236

Step 2

Calculate the Products’ Atomic and Mass Numbers

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Answer

For the products:

  • Barium-144: Atomic number = 56, Mass number = 144
  • Let the atomic number of X be Z and the mass number be A. The reaction also produces 3 neutrons (total atomic number = 0, total mass = 3).

Setting up equations:

  • Total atomic number: 56 + Z + 0 = 92 → Z = 36
  • Total mass number: 144 + A + 3 = 236 → A = 89

Step 3

Identify Nucleus X

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Thus, the nucleus X corresponds to the isotope with atomic number 36 and mass number 89, which is 3689Kr{}^{89}_{36}Kr. Therefore, the answer is:

B) 3692Kr^{92}_{36}Kr

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