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The two notations that represent isotopes of the same element is [tex]\boxed{_{\text{7}}^{{\text{14}}}{\text{N and }}_{\text{7}}^{{\text{18}}}{\text{N}}}[/tex]

Further explanation:

An atom is also written as [tex]_{\text{Z}}^{\text{A}}{\text{X}}[/tex], where A is the mass number, Z is the atomic number, and X is the letter symbol of the element.

Isotopes:

Atoms of the same element with same atomic number but different mass numbers are called isotopes. Isotopes have the equal number of protons but the number of neutrons is different.

[tex]_{\mathbf{6}}^{{\mathbf{11}}}{\mathbf{C}}[/tex] and [tex]_{\mathbf{6}}^{{\mathbf{12}}}{\mathbf{C}}[/tex] are examples of isotopes. Both are the atoms of the same element carbon. The mass number of [tex]_6^{11}{\text{C}}[/tex] is 11 while that of [tex]_6^{12}{\text{C}}[/tex] is 12. But both of these have the same atomic number and that is 6.

(1) [tex]_{\mathbf{7}}^{{\mathbf{14}}}{\mathbf{ N and }}_{\mathbf{7}}^{{\mathbf{18}}}{\mathbf{N}}[/tex]

Here, both elements are the same (nitrogen). The atomic numbers of both nitrogens are same. But the atomic mass or mass number of [tex]_7^{14}{\text{N}}[/tex] is 14 while that of [tex]_7^{18}{\text{N}}[/tex] is 18. So both the notations have the same atomic number and different mass numbers. So this pair completely satisfies the definition of isotopes and therefore it is a correct option.

(2) [tex]_{\mathbf{7}}^{{\mathbf{14}}}{\mathbf{ Nand }}_{{\mathbf{10}}}^{{\mathbf{17}}}{\mathbf{Ne}}[/tex]

Here, both elements are not the same. One element is nitrogen while the other one is neon. The atomic numbers of both elements are different. The atomic number of nitrogen atom is 7 while that of neon is 10. The atomic masses of both elements are also different. So this pair does not satisfy the definition of isotopes and therefore, it is an incorrect option.

(3) [tex]_{\mathbf{7}}^{{\mathbf{20}}}{\mathbf{N and }}_{{\mathbf{10}}}^{{\mathbf{20}}}{\mathbf{Ne}}[/tex]

Here, both elements are not the same. One element is nitrogen while the other one is neon. The atomic numbers of both elements are different. The atomic number of nitrogen atom is 7 while that of neon is 10. The atomic masses of both elements are same. So this pair does not satisfy the definition of isotopes and therefore it is an incorrect option.

(4) [tex]_{\mathbf{7}}^{{\mathbf{19}}}{\mathbf{N and }}_{{\mathbf{10}}}^{{\mathbf{16}}}{\mathbf{Ne}}[/tex]

Here, both elements are not the same. One element is nitrogen while the other one is neon. The atomic numbers of both elements are different. The atomic number of nitrogen atom is 7 while that of neon is 10. The atomic masses of both elements are also different. So this pair does not satisfy the definition of isotopes and therefore, it is an incorrect option.

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Answer details:

Grade: High School

Subject: Chemistry

Chapter: Atomic structure

Keywords: isotopes, same element, notations, represent, same atomic number, different mass numbers, A, Z, X, nitrogen, neon, 7, 10, correct, incorrect.

The two notations which represents isotopes of the same elements are in Choice 1. (Nitrogen with same atomic number but different mass numbers).

Definition:

Isotopy is a phenomenon in atoms of chemical elements characterized by a difference in the mass number of atoms of an element, although the atoms always have the same atomic number.

  • The difference in mass number is attributed to the difference in number of neutrons. This is so because, the atomic number of an element is the number of protons in its nucleus and is constant for isotopes.

  • The mass number on the other hand is the number of neutrons and protons in the nucleus of the atom.

  • In this scenario, Choice 1 represents two Nitrogen atoms with the same atomic number but different mass numbers.

Ultimately, Choice 1 represents two notations which are isotopes of the same element(Nitrogen)

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