Question:

Isotopes of an element have the same :

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Isotopes are versions of the same element with different numbers of neutrons. Key points:
{Same} Element \(\rightarrow\) {Same} Number of Protons \(\rightarrow\) {Same Atomic Number (Z)}.
{Different} Number of Neutrons \(\rightarrow\) {Different Mass Number (A)}. Example: Carbon-12 (6 protons, 6 neutrons) and Carbon-14 (6 protons, 8 neutrons) are isotopes of carbon. Both have atomic number 6.
  • mass number
  • atomic weight
  • atomic number
  • molecular weight
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The Correct Option is C

Solution and Explanation

Concept: Isotopes are different forms of the same chemical element. Their definition is based on the number of subatomic particles (protons and neutrons) in their nuclei. Step 1: Defining Isotopes Isotopes of a given element are atoms that have:
The same number of protons. The number of protons in an atom's nucleus defines the element and is called the atomic number (Z).
A different number of neutrons. Because they have the same number of protons but a different number of neutrons, isotopes of an element will have:
The same atomic number (Z).
A different mass number (A), since Mass Number = (Number of Protons) + (Number of Neutrons).
Nearly identical chemical properties, as chemical properties are primarily determined by the number of electrons (which equals the number of protons in a neutral atom).
Slightly different physical properties (like density or rate of diffusion) due to the difference in mass. Step 2: Analyzing the options
(1) mass number: Incorrect. Isotopes have different mass numbers because they have different numbers of neutrons. For example, Carbon-12 (\(^{12}C\)) has a mass number of 12 (6 protons + 6 neutrons), while Carbon-14 (\(^{14}C\)) has a mass number of 14 (6 protons + 8 neutrons).
(2) atomic weight: Atomic weight (or relative atomic mass) of an element is the weighted average of the masses of its naturally occurring isotopes. Individual isotopes have different atomic masses. The term "atomic weight" usually refers to the element as a whole, not a specific isotope in comparison to another isotope. However, different isotopes do have different individual masses.
(3) atomic number: Correct. By definition, all isotopes of a particular element have the same number of protons, and thus the same atomic number. This is what makes them the same element.
(4) molecular weight: This term applies to molecules (combinations of atoms), not individual atoms or isotopes in this context. Therefore, isotopes of an element have the same atomic number.
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