A nuclear fission reaction is represented by the following statement - Scottish Highers Physics - Question 11 - 2018
Question 11
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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Answer
Thus, the nucleus X corresponds to the isotope with atomic number 36 and mass number 89, which is 3689Kr. Therefore, the answer is:
B) 3692Kr
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