There are 2 isotopes of the fictional element Nz: Isotope 51 and Isotope 55. The average atomic mass of the fictional element Nz

Question

8 months ago

12

There are 2 isotopes of the fictional element Nz: Isotope 51 and Isotope 55. The average atomic mass of the fictional element Nz

is 52.21 amu.
What is the percent abundance of Isotope 51?

What is the percent abundance of Isotope 55?

If we had 63 atoms of element Nz (and remember you can't have just half of an atom):

How many of those atoms would likely be Isotope 51?

How many of those atoms would likely be Isotope 55?

Chemistry

1 answer:

valkas [14] · Answer 1 · 2024-03-17T05:11:38+03:00

The percentage abundance of Nz- 51 and Nz- 55 are 69.8 % and 30.2% respectively.

<h3>What is the percentage abundance of the isotopes?</h3>

We know that an isotope of an element has to do with atoms that have the same atomic number but the atomic masses of the atoms does differ. In this case, we have two isotopes Nz - 51 and Nz -55. We have the relative atomic mass of the elements as 52.21 amu.

Let the percentage abundance of Nz - 51 be x and the percentage abundance of Nz -55 be 1 - x.

52.21 = 51x + 55(1 - x)

52.21 = 51x + 55 - 55x

52.21 - 55 = 51x - 55x

-2.79 = -4x

x = 0.698

Thus;

Percentage abundance of Nz - 51 = 0.698 or 69.8 %

Percentage abundance of Nz - 55 = 1 - 0.698 or 30.2 %

If I have 63 atoms

Number with isotope Nz - 51 = 0.698 * 63 = 44 atoms

Number with isotope Nz - 55 = 0.302 * 63 = 19 atoms