Question

question
a sample of silicon has an average atomic mass of 28.084 amu. in the sample, there are three isotopic forms of silicon. about 92.22% of silicon atoms are 27.9769 amu, which have the mass of ²⁸si; about 4.68% are 28.9764 amu, which have the mass of ²⁹si, and the remaining isotope, ³⁰si, has a mass of 29.9737 amu. calculate the percent isotopic composition of ³⁰si.
provide your answer below:

%

Explanation:

Step1: Recall the fact that the sum of isotopic abundances is 100%

Let the percent abundance of \(^{30}Si\) be \(x\).
We know that \(92.22\%+4.68\% + x=100\%\)

Step2: Solve for \(x\)

First, add the known abundances: \(92.22\% + 4.68\%=96.9\%\)
Then, \(x = 100\% - 96.9\%\)
\(x = 3.1\%\)

Answer:

3.1%