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An element consists of two naturally occurring isotopes with the following masses and abundances. what is the atomic mass of the element?

isotope 1: 68.928 amu, 60.11%
isotope 2: 70.925 amu, 39.89%

User Fahri
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1 Answer

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Final answer:

To find the atomic mass of an element with two isotopes, multiply the mass of each isotope by its respective abundance, expressed as a decimal, then sum the results. The atomic mass of this element, rounded to two decimal places, is 69.74 amu.

Step-by-step explanation:

The atomic mass of the element with its two naturally occurring isotopes is calculated by multiplying the mass of each isotope with its relative abundance (expressed as a fraction), and then adding the products together. The formula for this calculation is:

Atomic mass = (fractional abundance of isotope 1 × mass of isotope 1) + (fractional abundance of isotope 2 × mass of isotope 2)

In this case:

  • Atomic mass = (0.6011 × 68.928 amu) + (0.3989 × 70.925 amu)
  • Atomic mass = (41.4299768 amu) + (28.306575 amu)
  • Atomic mass = 69.7365518 amu

Therefore, the average atomic mass of the element is approximately 69.74 amu.

User Feeeper
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