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Uranium has three common isotopes. If the abundance of Uranium-234 is 0.01%, the abundance of Uranium-235 is 0.71%, and the abundance of Uranium-238 is 99.28%, what is the average atomic mass of uranium?

Respuesta :

Answer:

238 amu

Explanation:

(234 * 0.0001) + (235 * 0.0071) + (238 * 0.9928) = 238

The average atomic mass of uranium is 237.98 amu.

Given:

Three isotopes of uranium element.

To find:

The average atomic mass of uranium.

Solution:

  • Uranium-234

Mass of uranium-234 isotope = 234 amu

Percentage of the abundance of uranium-234 isotope = 0.01%

Fractional abundance of uranium-234 isotope = 0.0001

  • Uranium-235

Mass of uranium-235 isotope = 235 amu

Percentage of the abundance of uranium-235 isotope = 0.71%

Fractional abundance of uranium-235 isotope = 0.0071

  • Uranium-238

Mass of uranium-238 isotope = 238 amu

Percentage of the abundance of uranium-238 isotope = 99.28%

Fractional abundance of uranium-238 isotope = 0.9928

The average atomic mass of uranium will be given by:

[tex]M=\sum [\text{Mass of an that isotope}\times \text{Fractional abundance of isotope}]\\\\=234amu\times 0.0001+235amu\times 0.0071+238amu\times 0.9928\\\\=237.9783 amu\approx 237.98 amu[/tex]

The average atomic mass of uranium is 237.98 amu.

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