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Question 3
Some information about the element rhenium (Re) is given in the table below. | Isotope | Relative isotopic mass | |----------|------------------------| | 185Re ... show full transcript
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Answer
Let the percentage abundance of 185Re be represented as x and the percentage abundance of 187Re as (100 - x).
We know that:
the average atomic mass of Re can be calculated using the formula:
ext{Average mass} = rac{(x imes 185) + ((100 - x) imes 187)}{100}
Setting this equal to the relative atomic mass of Re (186.2):
186.2 = rac{(x imes 185) + ((100 - x) imes 187)}{100}
Multiplying through by 100 yields:
Combining like terms gives us:
This means the percentage abundance of 185Re is 40%, thus the percentage abundance of 187Re is: .
Therefore, the closest percentage abundance of 187Re is 60.
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