Let's analyze each row of isotopes to identify which are isotopes of the same element.
1. (_10^23)W, (_9^25)X, (_10^25)Y, (_8^25)Z
- Isotopes: (_10^23)W and (_10^25)Y
Explanation: Isotopes of an element have the same atomic number (number of protons) but different mass numbers. In this case, (_10^23)W and (_10^25)Y both have an atomic number of 10 (indicating they are isotopes of the same element), while (_9^25)X has an atomic number of 9 and (_8^25)Z has an atomic number of 8, indicating they are different elements.
2. (_6^14)A, (_7^14)B, (_8^15)C, (_7^15)D
- Isotopes: (_6^14)A
Explanation: The isotopes of an element must have the same atomic number. In this case, (_6^14)A has an atomic number of 6, indicating it is carbon. On the other hand, (_7^14)B and (_7^15)D both have the atomic number of 7, indicating they are isotopes of nitrogen. (_8^15)C, having an atomic number of 8, is oxygen and not an isotope of carbon, nitrogen, or any of the other elements listed.
3. (_17^33)L, (_16^34)M, (_17^34)N, (_17^35)O
- Isotopes: (_17^33)L, (_17^34)N, (_17^35)O
Explanation: Isotopes of the same element have the same atomic number. Here, (_17^33)L, (_17^34)N, and (_17^35)O have the same atomic number of 17 (indicating they are isotopes of chlorine), while (_16^34)M has an atomic number of 16, indicating it is sulfur and not an isotope of chlorine.
In summary, the isotopes were identified based on their atomic numbers, where isotopes must share the same atomic number but vary in mass number.
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