The average atomic mass of a sample of an element X with isotopes 8X16 and X18 is 16.2 u. What are the percentages of isotope 8X16 in the sample?

The percentage of isotopes 8X16 and 8X18 in the sample is 90%.Let, A % is the percentage of 8X16 .Then the percentage of 8X18 be (100-A)%Therefore, 16×A100+18×100-A100=16.2⇒1800-2A=1620⇒A=90Therefore the answer is 90%.

The average atomic mass of a sample of an element X with isotopes 8X16 and X18 is 16.2 u. What are the percentages of isotope 8X16 in the sample?

The percentage of isotopes 8X16 and 8X18 in the sample is 90%.Let, A % is the percentage of 8X16 .Then the percentage of 8X18 be (100-A)%Therefore, 16×A100+18×100-A100=16.2⇒1800-2A=1620⇒A=90Therefore the answer is 90%.

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The average atomic mass of a sample of an element X with isotopes ₈X¹⁶ and X¹⁸ is 16.2 u. What are the percentages of isotope ₈X¹⁶ in the sample?

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Detailed Solution

The percentage of isotopes ₈X¹⁶ and ₈X¹⁸ in the sample is 90%.
Let, A % is the percentage of ₈X¹⁶ .
Then the percentage of ₈X¹⁸be $(100 - A) %$
Therefore, $16 \times \frac{A}{100 + 18} \times \frac{100 - A}{100} = 16.2$
$\Rightarrow 1800 - 2 A = 1620$
$\Rightarrow A = 90$