Element X has 2 isotopes. One of the isotopes has a mass of 18.9 with an abundance of 75.4%. The second isotope with a mass of20.2 and an abundance of 24.6%. Calculate the average Atomic Mass of element X.Give your answer to the nearest tenth (one decimal).

Given: Mass of the first isotope m1 = 18.9 with 75.4% of abundance Mass of the second isotope m2 =…

Answered: Element X has 2 isotopes. One of the…

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Element X has 2 isotopes. One of the isotopes has a mass of 18.9 with an abundance of 75.4%. The second isotope with a mass of
20.2 and an abundance of 24.6%. Calculate the average Atomic Mass of element X.
Give your answer to the nearest tenth (one decimal).

Expert Solution

Step 1

Given:

Mass of the first isotope m₁ = 18.9 with 75.4% of abundance

Mass of the second isotope m₂ = 20.2 with 24.6% of abundance

Atomic mass of an isotopic element is given by the sum of the product of the percentages of abundance of an isotope to the mass of the isotope.

If isotope of atomic mass m_A found with abundance A% and another isotope m_B found with abundance B% then the mass of the element would be:

$m = \frac{m_{A} \times A}{100} + \frac{m_{B} \times B}{100}$

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Element X has 2 isotopes. One of the isotopes has a mass of 18.9 with an abundance of 75.4%. The second isotope with a mass of 20.2 and an abundance of 24.6%. Calculate the average Atomic Mass of element X. Give your answer to the nearest tenth (one decimal).