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The following statement represents a nuclear reaction - Scottish Highers Physics - Question 8 - 2017

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The following statement represents a nuclear reaction. $$^{256}_{103}Lr \rightarrow Z + ^{4}_{2}He.$$ Nucleus Z is A) $$^{253}_{101}Md$$ B) $$^{260}_{102}No$... show full transcript

Worked Solution & Example Answer:The following statement represents a nuclear reaction - Scottish Highers Physics - Question 8 - 2017

Step 1

Identify nucleus Z

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Answer

To find nucleus Z in the reaction, we need to balance the reaction in terms of atomic mass and atomic number. The expression can be detailed as follows:

  1. The initial nucleus is Lawrencium ( 103256Lr)^{256}_{103}Lr) with atomic number 103 and mass number 256.
  2. Helium (24He)^{4}_{2}He) has an atomic number of 2 and a mass number of 4.
  3. Let’s denote the unknown nucleus Z as having an atomic mass number A and atomic number Z.

The balance equation will be:

  • Mass numbers: 256=A+4256 = A + 4
    Therefore, A=2564=252A = 256 - 4 = 252.

  • Atomic numbers: 103=Z+2103 = Z + 2
    This gives Z=1032=101Z = 103 - 2 = 101.

  1. Based on these values, nucleus Z must have an atomic number of 101 and a mass number of 252, which corresponds to the isotope 101252Md^{252}_{101}Md.

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