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QUESTION

# How would you find the percent abundance of 2 isotopes of an element, given the atomic weight and mass number of each isotope?

See explanation.

The average of is calculated by:

Mass_(avrg.)=sum("isotope mass")*("percent abundance")

For example, suppose we want to find the percent abundance of chlorine ""^35Cl and ""^37Cl given that the average atomic mass of chlorine is 35.45 "a.m.u..

Assume that the percent abundance of ""^35Cl is x, therefore, the percent abundance of ""^37Cl is 1-x.

Thus, 35.45=(35xxx)+(37xx(1-x)) => 35.45 = 37 -2x.

Solve for x, x=0.775

Therefore, the percent abundance of ""^35Cl is 77.5% and the percent abundance of ""^37Cl is 22.5%