The method of determining the most common isotope of lead is by determining the average atomic mass. The formula for determining the average atomic mass is:
[tex]average atomic mass = \Sigma {percent abundance}\times {atomic mass}[/tex]
Substituting the values in the formula:
[tex]average atomic mass = \frac{{203.97302}\times {1.4}+{205.9744}\times {24.1}+{206.97587}\times {22.1}+{207.97663}\times {52.4}}{100}[/tex]
[tex]average atomic mass = \frac{285.562228+4963.984004+4574.166727+10897.975412}{100}[/tex]
[tex]average atomic mass = \frac{20721.688371}{100} = 207.22 amu[/tex]
The most common isotope of lead is:
Lead - 207.22 amu
The atomic symbol of lead is [tex]Pb[/tex]. The atomic number of [tex]Pb[/tex] is 82.
So, the the most common isotope of lead can be written as:
[tex]_{207.22}^{82}Pb[/tex] and Lead - 207.22 amu.