Element X has three isotopes
Isotope 1 Isotope 2 Isotope 3
Mass 28 29 30
Abundance % 92.18 4.71 3.12
ii)Use the isotope abundances and masses to calculate the relative atomic mass of x. Quote your answer to one decimal place.
ii) Identify Element X.
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PLease help im really confused and need clear and detailed steps
Again, this is the candy mixture problem of Algebra I.
relativemass*100=92.18*28+4.71*29+3.12*30
ii look at the periodic table and find the element which as the same atomic mass.
To calculate the relative atomic mass of element X, you need to multiply the mass of each isotope by its respective abundance, and then sum up these values. Here are the steps for calculating the relative atomic mass:
1. Convert the percentages of abundance into decimal form by dividing each percentage by 100.
Abundance of Isotope 1 = 92.18% ÷ 100 = 0.9218
Abundance of Isotope 2 = 4.71% ÷ 100 = 0.0471
Abundance of Isotope 3 = 3.12% ÷ 100 = 0.0312
2. Multiply the mass of each isotope by its respective abundance:
Relative atomic mass = (Mass of Isotope 1 × Abundance of Isotope 1) + (Mass of Isotope 2 × Abundance of Isotope 2) + (Mass of Isotope 3 × Abundance of Isotope 3)
Relative atomic mass = (28 × 0.9218) + (29 × 0.0471) + (30 × 0.0312)
3. Calculate the sum:
Relative atomic mass = 25.7256 + 1.3629 + 0.936
4. Round the result to one decimal place:
Relative atomic mass of element X = 28.0245
Now, to identify the element X, you would need to refer to the periodic table. Look for an element with a relative atomic mass closest to the calculated value of 28.0245.
Based on the calculated relative atomic mass, element X corresponds to the element with an atomic number of approximately 28 on the periodic table, which is Nickel (Ni).