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what is the relative atomic mass of the element that consists of the fo…

Question

what is the relative atomic mass of the element that consists of the following isotopes in the indicated natural abundances?

isotopeisotopic mass (amu)relative abundance (%)
259.9326.16
360.931.25
461.933.66
563.931.16

express your answer to three significant figures and include the appropriate units.
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Explanation:

Step1: Calculate contribution of Isotope 1

Multiply isotopic mass by relative abundance (converted to decimal).
$57.93 \times \frac{67.76}{100} = 57.93 \times 0.6776 \approx 39.25$

Step2: Calculate contribution of Isotope 2

$59.93 \times \frac{26.16}{100} = 59.93 \times 0.2616 \approx 15.68$

Step3: Calculate contribution of Isotope 3

$60.93 \times \frac{1.25}{100} = 60.93 \times 0.0125 \approx 0.7616$

Step4: Calculate contribution of Isotope 4

$61.93 \times \frac{3.66}{100} = 61.93 \times 0.0366 \approx 2.267$

Step5: Calculate contribution of Isotope 5

$63.93 \times \frac{1.16}{100} = 63.93 \times 0.0116 \approx 0.7416$

Step6: Sum all contributions

Add the contributions from each isotope:
$39.25 + 15.68 + 0.7616 + 2.267 + 0.7416 \approx 58.7$

Answer:

58.7 amu