An element X has four naturally occurring isotopes, with natural abundances and masses outlined in the table below. Mass (a.m.u) Natural Abundance (%)11.00 40.70 %13.00 39.30 %14.00 15.60 %16.00 4.40 %Calculate the atomic mass of element X, to two decimal places.
Question
An element X has four naturally occurring isotopes, with natural abundances and masses outlined in the table below. Mass (a.m.u) Natural Abundance (%)11.00 40.70 %13.00 39.30 %14.00 15.60 %16.00 4.40 %Calculate the atomic mass of element X, to two decimal places.
Solution
To calculate the atomic mass of an element, you need to multiply the mass of each isotope by its natural abundance (in decimal form), then add up these products.
Here's how you do it for element X:
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Convert the natural abundances from percentages to decimals by dividing each by 100.
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Multiply the mass of each isotope by its natural abundance.
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Add up these products.
Here's the calculation:
(11.00 a.m.u * 0.407) + (13.00 a.m.u * 0.393) + (14.00 a.m.u * 0.156) + (16.00 a.m.u * 0.044)
= 4.477 a.m.u + 5.109 a.m.u + 2.184 a.m.u + 0.704 a.m.u
= 12.474 a.m.u
So, the atomic mass of element X is 12.47 a.m.u (rounded to two decimal places).
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