Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
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]
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]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
