Chemistry Exam > Chemistry Questions > Given that the abundances of isotopes 54Fe, 5...
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Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5% respectively, the atomic mass of Fe is
- a)55.85
- b)55.95
- c)55.75
- d)56.05
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% ...
Average atomic mass of an element = ∑AiXi
where Ai and Xi represents the atomic mass and mole fraction of the component in the mixture.
Average atomic mass of Fe =(54x5)+(56x90)+(57x5)/100
= 55.95
Most Upvoted Answer
Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% ...
Calculation of Atomic Mass of Fe
Isotopes of Iron
Iron has four stable isotopes: 54Fe, 56Fe, 57Fe and 58Fe.
Abundances of Fe Isotopes
Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5% respectively.
Calculation of Atomic Mass
To calculate the atomic mass of Fe, we need to use the following formula:
Atomic mass = (mass of isotope 1 x abundance of isotope 1) + (mass of isotope 2 x abundance of isotope 2) + (mass of isotope 3 x abundance of isotope 3) + ...
So, we can plug in the values for the three isotopes:
Atomic mass = (54 x 0.05) + (56 x 0.90) + (57 x 0.05)
Atomic mass = 2.7 + 50.4 + 2.85
Atomic mass = 55.95
Therefore, the atomic mass of Fe is 55.95, which is option 'B'.
Isotopes of Iron
Iron has four stable isotopes: 54Fe, 56Fe, 57Fe and 58Fe.
Abundances of Fe Isotopes
Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5% respectively.
Calculation of Atomic Mass
To calculate the atomic mass of Fe, we need to use the following formula:
Atomic mass = (mass of isotope 1 x abundance of isotope 1) + (mass of isotope 2 x abundance of isotope 2) + (mass of isotope 3 x abundance of isotope 3) + ...
So, we can plug in the values for the three isotopes:
Atomic mass = (54 x 0.05) + (56 x 0.90) + (57 x 0.05)
Atomic mass = 2.7 + 50.4 + 2.85
Atomic mass = 55.95
Therefore, the atomic mass of Fe is 55.95, which is option 'B'.
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Solutions for Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5% respectively, the atomic mass of Fe isa)55.85b)55.95c)55.75d)56.05Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
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