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Some information about the element rhenium (Re) is given in the table below - VCE - SSCE Chemistry - Question 3 - 2007 - Paper 1

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Some information about the element rhenium (Re) is given in the table below. | Isotope | Relative isotopic mass | |----------|------------------------| | 185Re ... show full transcript

Worked Solution & Example Answer:Some information about the element rhenium (Re) is given in the table below - VCE - SSCE Chemistry - Question 3 - 2007 - Paper 1

Step 1

Calculate the percentage abundance of 187Re

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Answer

Let the percentage abundance of 185Re be represented as x. Therefore, the percentage abundance of 187Re will be (100 - x).

Using the average atomic mass, we can set up the equation:

186.2=x×185.0+(100x)×187.0100186.2 = \frac{x \times 185.0 + (100 - x) \times 187.0}{100}

Multiplying throughout by 100 to eliminate the fraction:

18620=x×185.0+(100x)×187.018620 = x \times 185.0 + (100 - x) \times 187.0

Expanding the right-hand side gives:

18620=185x+18700187x18620 = 185x + 18700 - 187x

Combining like terms results in:

1862018700=2x18620 - 18700 = -2x

Thus,

\Rightarrow x = 40$$ Since x = 40, the percentage abundance of 187Re is: $$100 - x = 100 - 40 = 60$$ Therefore, the percentage abundance of 187Re is closest to 60.

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