Question

1. use the table below to calculate the atomic mass of element x. then use the periodic table to identify the element. show all your work.

Explanation:

Step1: Convert percentage abundance to decimal

For \(^{16}X\): \(99.762\%=0.99762\)
For \(^{17}X\): \(0.038\% = 0.00038\)
For \(^{18}X\): \(0.20\%=0.002\)

Step2: Calculate the contribution of each isotope

Contribution of \(^{16}X\): \(15.995\times0.99762\approx15.959\)
Contribution of \(^{17}X\): \(16.999\times0.00038\approx0.00646\)
Contribution of \(^{18}X\): \(17.999\times0.002 = 0.035998\)

Step3: Sum up the contributions

\(15.959+0.00646 + 0.035998\approx16.001\)

Answer:

The atomic mass of element \(X\) is approximately \(16.00\) amu. Looking at the periodic table, the element with an atomic mass close to \(16.00\) amu is oxygen (\(O\)).