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The isotopic masses (amu) and % abundances of the isotopes are given below. Isotope Abundance (%) Mass (amu)159X 30.60 159.37163X 15.79 162.79164X  53.61 163.92 The average atomic mass of the element is __________ amu.Question 1Select one:a.161.75b.162.03c.162.35d.163.15e.33.33

Question

The isotopic masses (amu) and % abundances of the isotopes are given below. Isotope Abundance (%) Mass (amu)159X 30.60 159.37163X 15.79 162.79164X  53.61 163.92 The average atomic mass of the element is __________ amu.Question 1Select one:a.161.75b.162.03c.162.35d.163.15e.33.33

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Solution

To calculate the average atomic mass of an element, you need to multiply the mass of each isotope by its relative abundance (in decimal form), then add up these products.

For isotope 159X: (30.60/100) * 159.37 = 48.78

For isotope 163X: (15.79/100) * 162.79 = 25.70

For isotope 164X: (53.61/100) * 163.92 = 87.87

Then, add these values together: 48.78 + 25.70 + 87.87 = 162.35

So, the average atomic mass of the element is 162.35 amu. Therefore, the correct answer is c. 162.35.

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