To determine which of the following could be an isotope of bromine (Br), we'll use the properties of isotopes. Isotopes of an element have the same atomic number [tex]\( Z \)[/tex] but different mass numbers [tex]\( A \)[/tex]. Bromine has an atomic number of 35.
Let's analyze each option in detail to see if it matches the criteria for being an isotope of bromine.
1. [tex]\( Z = 79, A = 196 \)[/tex]
- The atomic number [tex]\( Z = 79 \)[/tex] does not match bromine's atomic number, which is 35. Therefore, this cannot be an isotope of bromine.
2. [tex]\( Z = 35, A = 79 \)[/tex]
- The atomic number [tex]\( Z = 35 \)[/tex] matches bromine's atomic number. Since the atomic number is correct, any mass number [tex]\( A \)[/tex] would indicate a different isotope of bromine. Therefore, this option could be an isotope of bromine.
3. [tex]\( A = 79, N = 44 \)[/tex]
- We will use the relationship [tex]\( Z = A - N \)[/tex] to find the atomic number.
- [tex]\( Z = 79 - 44 = 35 \)[/tex]
- Here, [tex]\( Z = 35 \)[/tex] matches bromine’s atomic number. This means that this option could be an isotope of bromine as well.
4. [tex]\( Z = 44, N = 44 \)[/tex]
- The atomic number [tex]\( Z = 44 \)[/tex] does not match bromine's atomic number, which is 35. Therefore, this cannot be an isotope of bromine.
After reviewing all the options, we determine that options 2 and 3 could be isotopes of bromine:
- [tex]\( Z = 35, A = 79 \)[/tex]
- [tex]\( A = 79, N = 44 \)[/tex]
So, the correct answers are:
[tex]\[ [2, 3] \][/tex]
