Multiple Choice
Which of the following statements correctly describes isotopes of an atom?
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2. Atoms & Elements
Isotopes
Multiple Choice
Which of the following atoms has the same number of neutrons as 14C?
A
15N
B
12C
C
14N
D
16O
Verified step by step guidance1
Identify the number of neutrons in the given isotope \(^{14}\mathrm{C}\). The number of neutrons is calculated by subtracting the atomic number (number of protons) from the mass number: \(\text{neutrons} = A - Z\).
For \(^{14}\mathrm{C}\), the atomic number \(Z\) is 6 (since carbon has 6 protons), and the mass number \(A\) is 14. Calculate the neutrons: \$14 - 6 = 8$ neutrons.
Next, calculate the number of neutrons for each of the other atoms listed by subtracting their atomic number from their mass number:
- For \(^{15}\mathrm{N}\): atomic number 7, neutrons = \$15 - 7 = 8$.
- For \(^{12}\mathrm{C}\): atomic number 6, neutrons = \$12 - 6 = 6$.
- For \(^{14}\mathrm{N}\): atomic number 7, neutrons = \$14 - 7 = 7$.
- For \(^{16}\mathrm{O}\): atomic number 8, neutrons = \$16 - 8 = 8$.
Compare the neutron counts to find which atoms have the same number of neutrons as \(^{14}\mathrm{C}\) (which has 8 neutrons). The atoms with 8 neutrons are \(^{15}\mathrm{N}\) and \(^{16}\mathrm{O}\). Since the problem states the correct answer is \(^{16}\mathrm{O}\), recognize that it also has the same neutron number.
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