An unknown element X has the following isotopes: ⁵²X (89.00% abundant), ⁴⁹X (8.00% abundant), ⁵⁰X (3.00% abundant). What is the approximate atomic mass of X?

Respuesta :

Answer:

52 amu

Explanation:

To get the relative atomic mass of the element, we need to take into consideration, the atomic masses of the different isotopes and their relative abundances. We simply multiply the percentages with the masses. This can be obtained as follows:

[89/100 * 52] + [8/100 * 49] + [3/100 * 50]

46.28 + 3.92 + 1.5 =51.7 amu

The approximate atomic mass of element x is 52 amu

The approximate atomic mass of X is 52

Isotopy is a phenomenon where by two or more atoms have the same atomic number but different mass number due to the difference in the neutron number of the atoms. The atoms involved are called isotope.

The atomic mass of X can be obtained as illustrated below:

Let isotope ⁵²X be A

Let isotope ⁴⁹X  be B

Let isotope ⁵⁰X be C

From the question given above, the following data were obtained:

Isotope A (⁵²X):

Mass of A = 52

Abundance of A (A₀) = 89%

Isotope B (⁴⁹X)

Mass of B = 49

Abundance of B (B₀) = 8%

Isotope C (⁵⁰X):

Mass of C = 50

Abundance of C (C₀) = 3%

Relative atomic mass of X (RAM) =?

RAM = [(Mass of A x A₀)/100] + [(Mass of B x B₀)/100] + [(Mass of C x C₀)/100]

RAM of X = [(52 x 89)/100] + [(49 x 8)/100] + [(50 x 3)/100]

RAM of X = 46.28 + 3.92 + 1.5

RAM of X = 51.7

RAM of X ≈ 52

Therefore, the approximate atomic mass of X is 52

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