Calculate the average atomic mass of a sample of a mixture of argon (Ar). The mixture is 90% argon-36 and 10% argon-38. Argon-36 has an atomic mass of 35.968 amu. Argon-38 has an atomic mass of 37.962 amu

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Answer:

The answer might be 39.948

Explanation:

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The average atomic mass of the mixture of argon containing 90% of 36Ar (35.968 amu) and 10% of 38Ar (37.962 amu) is 36.167 amu.

We have a mixture formed by 90% of 36Ar (atomic mass 35.968 amu) and 10% of 38Ar (atomic mass 37.962 amu). The average atomic mass (aam) of the mixture is a weighted average that considers the mass of each isotope ([tex]m_i[/tex]) and the abundance of each isotope in the mixture ([tex]ab_i[/tex]).

[tex]aam = \frac{\Sigma m_i \times ab_i }{100} = \frac{35.968amu \times 90 + 37.962amu \times 10}{100} = 36.167 amu[/tex]

The average atomic mass of the mixture of argon containing 90% of 36Ar (35.968 amu) and 10% of 38Ar (37.962 amu) is 36.167 amu.

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