QUESTION IMAGE
Question
what is the relative atomic mass of the element that consists of the following isotopes in the indicated natural abundances?
| isotope | isotopic mass (amu) | relative abundance (%) |
|---|---|---|
| 2 | 59.93 | 26.16 |
| 3 | 60.93 | 1.25 |
| 4 | 61.93 | 3.66 |
| 5 | 63.93 | 1.16 |
express your answer to three significant figures and include the appropriate units.
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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:
$39.25 + 15.68 + 0.7616 + 2.267 + 0.7416 \approx 58.7$
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58.7 amu