In my class my teacher showed us how to find the average atomic mass of an element with a method, but he didn't really state a formula one could use. I came up with a formula of my own, and from what I observed it works: i1x+i2y100=A,
Therefore: i1x+i2(100−x)100=A
I'm just wondering, is there an official formula, or is this method it?
Answer
The average relative atomic mass of an element comprised of n isotopes with relative atomic masses Ai and relative fractional abundances pi is given by:
A=p1A1+p2A2+⋯+pnAn=n∑i=1piAi
For example carbon:
IsotopeIsotopic Mass AAbundance pA×pX12X2122C:12.000000 u0.98892=11.867 uX13X2132C:13.003354 u0.01108=00.144 u
Since we have p1A1 and p2A2, we add those together to find A, therefore the chemical relative atomic mass of carbon is A=00.144 u+11.867 u=12.0011 u.
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