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Potassium-40 is a radioactive isotope of potassium, which is a common element in

ID: 1038065 • Letter: P

Question

Potassium-40 is a radioactive isotope of potassium, which is a common element in crustal minerals. A common K-containing mineral is orthoclase feldspar, with the formula KAlSi3O8.

What is the mass fraction of K in orthoclase feldspar?

The K-40 isotope comprises 0.0118% of the potassium found in natural samples. How many atoms of K-40 are there in one mole of orthoclase feldspar?

This many atoms of K-40 would result in how many disintegrations per minute? (Assume k for the decay reaction = 1.055 x 10-15 min-1.)

Explanation / Answer

Name of the mineral - Orthoclase feldspar

Molecular Formula KAISi3O8

Mass of each component given =

K 40

AI 27

Si 28, So 3 *28 = 84

O 16, So 8* 16 = 128

Total Mass = 279 u

Mass Fraction of K = 40 / 279

=0.14336

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