Math

QuestionWhich statement is false about the atoms 13 N,14 N,15 N^{13} \mathrm{~N}, \,^{14} \mathrm{~N}, \,^{15} \mathrm{~N}?

Studdy Solution

STEP 1

Assumptions1. The atomic number of an atom is the number of protons in its nucleus. . The mass number of an atom is the sum of the number of protons and neutrons in its nucleus.
3. Isotopes are atoms of the same element (same atomic number) but with different numbers of neutrons (different mass numbers).
4. The number of electrons in a neutral atom is equal to the atomic number.

STEP 2

First, let's analyze the atoms given 13 ,14 { }^{13} \mathrm{~},{ }^{14} \mathrm{~}, and 15 { }^{15} \mathrm{~}.
The superscript before N represents the mass number of the nitrogen atom.

STEP 3

Let's determine the atomic number of nitrogen. The atomic number of nitrogen is7. This means that every nitrogen atom has7 protons in its nucleus.

STEP 4

Now, let's determine the number of electrons for each atom. Since these are neutral atoms, the number of electrons is equal to the atomic number, which is7. So, all three atoms have7 electrons.

STEP 5

Next, let's determine if these atoms are isotopes. Isotopes are atoms of the same element with different numbers of neutrons, which means different mass numbers. Since 13 ,14 { }^{13} \mathrm{~},{ }^{14} \mathrm{~}, and 15 { }^{15} \mathrm{~} are all nitrogen atoms but with different mass numbers, they are isotopes.

STEP 6

Finally, let's check the mass numbers. The mass numbers for 13 ,14 { }^{13} \mathrm{~},{ }^{14} \mathrm{~}, and 15 { }^{15} \mathrm{~} are13,14, and15 respectively. This means they do not all have the same mass number.
So, the statement "They all have the same mass number" is not true for the atoms 13 ,14 { }^{13} \mathrm{~},{ }^{14} \mathrm{~}, and 15 { }^{15} \mathrm{~}.

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