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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 Abundance of 187Re

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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:

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

Combining like terms gives us:

2x=18700186202x = 18700 - 18620
2x=802x = 80
x=40x = 40

This means the percentage abundance of 185Re is 40%, thus the percentage abundance of 187Re is: 10040=60100 - 40 = 60.

Therefore, the closest percentage abundance of 187Re is 60.

Step 2

Conclusion

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Answer

The correct answer is C. 60.

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