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7. the following table shows the mass and abundance of three isotopes o…

Question

  1. the following table shows the mass and abundance of three isotopes of element j. which setup would calculate the average atomic mass of element j correctly? isotope a b c mass number (grams) z y w percent abundance (%) 15 50 35 15 + 50 + 35 / 3 = average atomic mass of j mass z+mass y + mass w / 3 = average atomic mass of j (mass z x 0.15)+(mass y x 0.50)+(mass w x 0.35)=average atomic mass of j (mass z + 0.15)+(mass y + 0.50)+(mass w + 0.35)=average atomic mass of j clear all

Explanation:

Step1: Recall formula for average atomic mass

The average atomic mass of an element with isotopes is calculated by multiplying the mass of each isotope by its percent - abundance (expressed as a decimal) and then summing these products.
Let the masses of the isotopes be \(W\), \(Y\), and \(Z\) with percent abundances \(35\%\), \(50\%\), and \(15\%\) respectively. The percent abundances as decimals are \(0.35\), \(0.50\), and \(0.15\).
The formula for the average atomic mass of element \(J\) is \((W\times0.35)+(Y\times0.50)+(Z\times0.15)\).

Answer:

(Mass Z x 0.15)+(Mass Y x 0.50)+(Mass W x 0.35) = Average atomic mass of J