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Question

The average atomic mass of a sample of an element X is 16.2 u. What are the percentages of isotopes 𝑋8 16 and 𝑋8 18 in the sample?

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Answer

Since average atomic mass

= 16 x X + 18 x (100 – X )/100

16.2 = 16X + 1800 – 18X/100

1620 = – 2X + 1800

2X = 1800 – 1620

X = 180/2 = 90

When 90% is the X-16 sample so for X-18 sample % = 100-90=10%

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