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Identify the mass numbers and their percentage abundances from the graph.

Mathematics

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Answer

207.222

Step-by-step solution

3 steps

  1. Identify the mass numbers and their percentage abundances from the graph.

    • Isotope 1: Mass number = 204, Percentage abundance = 1.5%
    • Isotope 2: Mass number = 206, Percentage abundance = 23.6%
    • Isotope 3: Mass number = 207, Percentage abundance = 22.6%
    • Isotope 4: Mass number = 208, Percentage abundance = 52.3%

  2. Use the formula for relative atomic mass.

    The relative atomic mass is calculated as the sum of (isotope mass ×\times fractional abundance) for all isotopes.

    Relative atomic mass=∑(isotope mass×percentage abundance100)\text{Relative atomic mass} = \sum (\text{isotope mass} \times \frac{\text{percentage abundance}}{100})

  3. Substitute the values and calculate.

    Relative atomic mass=(204×1.5100)+(206×23.6100)+(207×22.6100)+(208×52.3100)\text{Relative atomic mass} = (204 \times \frac{1.5}{100}) + (206 \times \frac{23.6}{100}) + (207 \times \frac{22.6}{100}) + (208 \times \frac{52.3}{100}) Relative atomic mass=(204×0.015)+(206×0.236)+(207×0.226)+(208×0.523)\text{Relative atomic mass} = (204 \times 0.015) + (206 \times 0.236) + (207 \times 0.226) + (208 \times 0.523) Relative atomic mass=3.06+48.596+46.782+108.784\text{Relative atomic mass} = 3.06 + 48.596 + 46.782 + 108.784 Relative atomic mass=207.222\text{Relative atomic mass} = 207.222

    The relative atomic mass of lead is 207.222.

    207.222207.222
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