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Calculate the relative atomic mass of element X, given the isotopes' mass numbers and abundances.

Chemistry

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6. b) Calculate the relative atomic mass of element X.
The relative atomic mass (Ar) is calculated using the mass numbers and abundances of its isotopes.
Given:

  • Isotope X₁: mass number = 35, abundance = 75%
  • Isotope X₂: mass number = 37, abundance = 25%

  1. Use the formula for relative atomic mass.

    Ar=(mass number of isotope 1×abundance of isotope 1)+(mass number of isotope 2×abundance of isotope 2)100Ar = \frac{(\text{mass number of isotope 1} \times \text{abundance of isotope 1}) + (\text{mass number of isotope 2} \times \text{abundance of isotope 2})}{100}

  2. Substitute the given values into the formula.

    Ar=(35×75)+(37×25)100Ar = \frac{(35 \times 75) + (37 \times 25)}{100}

  3. Perform the multiplication.

    Ar=2625+925100Ar = \frac{2625 + 925}{100}

  4. Perform the addition.

    Ar=3550100Ar = \frac{3550}{100}

  5. Perform the division.

    Ar=35.5Ar = 35.5

    The relative atomic mass of element X is 35.5.

    7. a) ii) Define: Mass number
    The mass number is the total number of protons and neutrons in the nucleus of an atom.

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