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The relative abundance of two isotopes of atomic weight 85 and 87 is 75% and 25% respectively. The average atomic weight of element is :​
  • a)
    75.5
  • b)
    85.5
  • c)
    40.0
  • d)
    86.0
Correct answer is option 'B'. Can you explain this answer?
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The relative abundance of two isotopes of atomic weight 85 and 87 is 7...
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The relative abundance of two isotopes of atomic weight 85 and 87 is 7...
To find the average atomic weight of an element, we need to consider the relative abundance of each isotope and its corresponding mass.

Given:
Relative abundance of isotope with atomic weight 85 = 75%
Relative abundance of isotope with atomic weight 87 = 25%

Step 1: Calculate the contribution of each isotope to the average atomic weight.
To calculate the contribution of each isotope, we multiply the relative abundance of the isotope by its atomic weight.

Contribution of isotope with atomic weight 85 = (75/100) * 85 = 63.75
Contribution of isotope with atomic weight 87 = (25/100) * 87 = 21.75

Step 2: Add the contributions of each isotope.
Average atomic weight = Contribution of isotope with atomic weight 85 + Contribution of isotope with atomic weight 87
Average atomic weight = 63.75 + 21.75 = 85.5

Therefore, the average atomic weight of the element is 85.5 (option B).
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The relative abundance of two isotopes of atomic weight 85 and 87 is 75% and 25% respectively. The average atomic weight of element is :​a)75.5b)85.5c)40.0d)86.0Correct answer is option 'B'. Can you explain this answer?
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