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Read the information about the three atoms given in the table. Which of them are isotopes of each other?

\begin{tabular}{|c|c|c|}
\hline Atoms & Atomic Number & Mass Number \\
\hline [tex]$X$[/tex] & 10 & 20 \\
\hline [tex]$Y$[/tex] & 10 & 21 \\
\hline [tex]$Z$[/tex] & 11 & 20 \\
\hline
\end{tabular}

A. [tex]$X$[/tex] and [tex]$Y$[/tex]
B. [tex]$X$[/tex] and [tex]$Z$[/tex]
C. [tex]$Y$[/tex] and [tex]$Z$[/tex]
D. [tex]$X$[/tex], [tex]$Y$[/tex], and [tex]$Z$[/tex]
E. There are no isotopes among these atoms



Answer :

GinnyAnswer
To determine which of the given atoms are isotopes of each other, we need to recall the definition of isotopes: isotopes are atoms that have the same atomic number (which means they are the same element) but different mass numbers.

Let's examine the atomic numbers and mass numbers of the atoms provided:

- Atom [tex]$X$[/tex]: Atomic Number = 10, Mass Number = 20
- Atom [tex]$Y$[/tex]: Atomic Number = 10, Mass Number = 21
- Atom [tex]$Z$[/tex]: Atomic Number = 11, Mass Number = 20

Step-by-step analysis:

1. Comparison between [tex]$X$[/tex] and [tex]$Y$[/tex]:
- Atomic Number of [tex]$X$[/tex]: 10
- Atomic Number of [tex]$Y$[/tex]: 10
- Mass Number of [tex]$X$[/tex]: 20
- Mass Number of [tex]$Y$[/tex]: 21

Both [tex]$X$[/tex] and [tex]$Y$[/tex] have the same atomic number (10) but different mass numbers (20 and 21). Therefore, [tex]$X$[/tex] and [tex]$Y$[/tex] are isotopes of each other.

2. Comparison between [tex]$X$[/tex] and [tex]$Z$[/tex]:
- Atomic Number of [tex]$X$[/tex]: 10
- Atomic Number of [tex]$Z$[/tex]: 11
- Mass Number of [tex]$X$[/tex]: 20
- Mass Number of [tex]$Z$[/tex]: 20

[tex]$X$[/tex] and [tex]$Z$[/tex] do not have the same atomic number (10 vs. 11). Therefore, they are not isotopes of each other, regardless of their mass numbers.

3. Comparison between [tex]$Y$[/tex] and [tex]$Z$[/tex]:
- Atomic Number of [tex]$Y$[/tex]: 10
- Atomic Number of [tex]$Z$[/tex]: 11
- Mass Number of [tex]$Y$[/tex]: 21
- Mass Number of [tex]$Z$[/tex]: 20

[tex]$Y$[/tex] and [tex]$Z$[/tex] do not have the same atomic number (10 vs. 11). Therefore, they are not isotopes of each other, regardless of their mass numbers.

Based on the comparisons:
- Atom [tex]$X$[/tex] and Atom [tex]$Y$[/tex] have the same atomic number but different mass numbers, making them isotopes of each other.
- Atom [tex]$X$[/tex] and Atom [tex]$Z$[/tex] do not fulfill the condition to be isotopes.
- Atom [tex]$Y$[/tex] and Atom [tex]$Z$[/tex] do not fulfill the condition to be isotopes.

Therefore, the correct answer is:
A. [tex]$X$[/tex] and [tex]$Y$[/tex]

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