no isotopes of a particular chemical element all have the same number of protons
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This statement is incorrect. Isotopes of an element have the same number of protons but differ in their number of neutrons. Rubidium, specifically, has two stable isotopes: Rb-85 and Rb-87, which both have 37 protons but different numbers of neutrons.
Isotopes of the same element have a different number of NEUTRONS.
If they had a different number of protons they would be a different element.
Isotopes have a different number of neutrons but the number of protons and electrons is the same.
All isotopes of an element have the same number of protons, otherwise they would not be the same element. What varies is the number of neutrons, they can be more or less than in the stable isotope(s) of the element.
Isotopes must have the same atomic number, which is the number of protons. The atomic mass, which is the total number of protons and neutrons, varies for the different isotopes. so it should have different mass numbers..
Primarily, isotopes differ in the number of neutrons in the nucleus. Secondarily, because some combinations of protons and neutrons produce an unstable nucleus, they may differ by being radioactive.
Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons. An example is carbon-12 and carbon-14, which both have six protons but differ in the number of neutrons they possess.