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the atomic number of carbon is six, which means that a carbon atom has …

Question

the atomic number of carbon is six, which means that a carbon atom has six protons. carbon has three naturally occurring isotopes: carbon-12, carbon-13, and carbon-14. which of these statements are true about carbon and its isotopes? select all that apply. a. all carbon atoms have six neutrons. b. all carbon atoms have six protons and six electrons. c. atoms of all carbon isotopes have either more than 6 electrons or fewer than 6 electrons. d. atoms of some naturally occurring carbon isotopes may have six neutrons. e. atoms of some naturally occurring carbon isotopes may have twelve neutrons.

Explanation:

Brief Explanations
  • Option A: Carbon isotopes have different neutron numbers (e.g., C - 12 has 6, C - 13 has 7, C - 14 has 8), so not all have 6 neutrons. Eliminate A.
  • Option B: Atomic number = number of protons = number of electrons (in neutral atoms). Carbon has atomic number 6, so all neutral carbon atoms have 6 protons and 6 electrons. This is correct.
  • Option C: In neutral carbon atoms (isotopes), electrons equal protons (6). Ions can have different electrons, but the question is about carbon and its isotopes (typically neutral in context of isotopic mass). So isotopes don't have more/less than 6 electrons (neutral). Eliminate C.
  • Option D: Carbon - 12 has 6 neutrons (mass number 12, protons 6: \(12 - 6=6\)), so some naturally occurring (C - 12) have 6 neutrons. Correct.
  • Option E: Carbon - 12 is a naturally occurring isotope with 12 - 6 = 6 neutrons? Wait, no: mass number = protons + neutrons. For C - 12, protons = 6, so neutrons = \(12 - 6 = 6\)? Wait, no, wait: C - 12 has 6 neutrons? Wait, no, 6 protons + 6 neutrons = 12. Wait, the option E says "twelve neutrons"? No, wait, the option E: "Atoms of some naturally occurring carbon isotopes may have twelve neutrons." Wait, mass number would be 6 (protons)+12 (neutrons)=18, which is not a naturally occurring carbon isotope. Wait, maybe a typo? Wait, original problem: "carbon - 12, carbon - 13, and carbon - 14". So C - 12: neutrons = 12 - 6 = 6; C - 13: 13 - 6 = 7; C - 14: 14 - 6 = 8. Wait, maybe the option E is a typo, but assuming it's "twelve" as in mass number - related? Wait, no. Wait, maybe I misread. Wait, the option E: "Atoms of some naturally occurring carbon isotopes may have twelve neutrons." But natural carbon isotopes are C - 12, C - 13, C - 14. So neutrons: 6,7,8. So E is wrong? Wait, no, maybe the option E is "twelve" as in mass number? Wait, no, the question's option E: "twelve neutrons". So that would be mass number 18, not natural. So maybe I made a mistake. Wait, let's re - evaluate:

Wait, the atomic number of carbon is 6 (protons = 6). For an isotope, mass number (\(A\)) = protons (\(Z\))+neutrons (\(N\)), so \(N = A - Z\).

  • C - 12: \(N = 12 - 6 = 6\)
  • C - 13: \(N = 13 - 6 = 7\)
  • C - 14: \(N = 14 - 6 = 8\)

So:

  • Option B: All carbon atoms (neutral) have 6 protons and 6 electrons (since atomic number = protons = electrons in neutral state). Correct.
  • Option D: C - 12 is a naturally occurring isotope with 6 neutrons, so some naturally occurring have 6 neutrons. Correct.
  • Option E: If it's a typo and meant "six" neutrons (C - 12), but as written "twelve", no. Wait, maybe the option E is "twelve" as in mass number - related? No, neutrons are \(A - Z\). So E is incorrect? Wait, no, maybe I misread the option. Wait, the user's image: "E. Atoms of some naturally occurring carbon isotopes may have twelve neutrons." So that's incorrect. Wait, but maybe the original problem has a typo. But based on the given options:

Wait, maybe I made a mistake with option E. Wait, C - 12 has 6 neutrons, C - 13 has 7, C - 14 has 8. So no natural carbon isotope has 12 neutrons. So E is wrong.

Wait, let's re - check each option:

A: All carbon atoms have 6 neutrons? No, C - 13 has 7, C - 14 has 8. Eliminate A.

B: All carbon atoms (neutral) have 6 protons (atomic number 6) and 6 electrons (since in neutral atoms, electrons = protons). Correct.

C: Atoms of all carbon isotopes have either more than 6 or fewer than 6 electrons? No, neutral isotopes have 6 electrons. Ions can have different, but the question is about isotopes (usually neutral in this context). Eliminate C.…

Answer:

B. All carbon atoms have six protons and six electrons.
D. Atoms of some naturally occurring carbon isotopes may have six neutrons.