A sample of potassium has an average atomic mass of 39.0983amu. There are three isotopic forms of potassium element in the sample. About 93.2581% of the potassium atoms are 38.9637amu mass (39K); 0.0117% are 39.9639amu mass (40K), and the remaining isotope 41K is of 40.9618amu mass. Calculate the percentage composition of 41K. Report your answer with five significant figures.

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Answer:

Percent Composition of 41K = 6.7302%

Explanation:

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The percentage composition of 41K isotope of potassium according to the given data is 6.7302 percent.

Composition of isotopes:

Given that the atomic masses of the potassium isotopes are:

mass of 39K = 38.9637amu

mass of 40K = 39.9639amu

mass of 41K = 40.9618amu

and the percentages are:

percentage of 39K = 93.2581%

percentage of 40K =  0.0117%

percentage of 41K = x

Given average mass of potassium = 39.0983amu

sum (mass of isotopes × percentage abundance) =  average mass

38.9637 × 93.2581% +  39.9639 ×  0.0117%  + 40.9618 × x = 39.0983

x = 6.7302%

So the percentage composition of 41K is 6.7302%

Learn more about composition of isotopes:

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