A student is surprised by her work. She feels that the nuclear binding energy is high for oxygen-16. Her work is as follows: Part 1: One neutron's mass is 1.008665 amu, while one proton's mass is 1.007276 amu. In oxygen - 16 there are 8 protons and 8 neutrons with a total mass of 16.127528 amu. (1.007276x8)+(1.008665x8)=16.127528 Part 2: Because the mass of oxygen-16 is 15.994915 amu, the difference between the mass of an atom and the sum of its protons and neutrons is the mass defect. The mass defect for oxygen-16 is 0.132613 amu. 16.127528-15.994915 0.132613 Part 3: The missing mass in oxygen-16 is converted to the nuclear binding energy using Einstein's equation E = mc². The amount of energy is 1.19x1016 J, which I think is too high. E=mc² = (0.132613) x (3.00 x 108)2=1.193×1016 J Which part of the solution was there an error? a) Parts 2 and 3. b) Part 3 only. c) Parts 1 and 2. d) No error.

Introductory Chemistry: A Foundation
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Chapter19: Radioactivity And Nuclear Energy
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A student is surprised by her work. She feels that the nuclear binding energy is high for oxygen-16. Her work is as follows:
Part 1: One neutron's mass is 1.008665 amu, while one proton's mass is 1.007276 amu. In oxygen - 16 there are
8 protons and 8 neutrons with a total mass of 16.127528 amu.
(1.007276x8)+(1.008665x8)=16.127528
Part 2: Because the mass of oxygen-16 is 15.994915 amu, the difference between the mass of an atom and the sum
of its protons and neutrons is the mass defect. The mass defect for oxygen-16 is 0.132613 amu.
16.127528-15.994915 0.132613
Part 3: The missing mass in oxygen-16 is converted to the nuclear binding energy using Einstein's equation E = mc².
The amount of energy is 1.19x1016 J, which I think is too high.
E = mc² = (0.132613) × (3.00 x 108)2=1.193×1016 J
Which part of the solution was there an error?
a) Parts 2 and 3.
b) Part 3 only.
c) Parts 1 and 2.
d) No error.
Transcribed Image Text:A student is surprised by her work. She feels that the nuclear binding energy is high for oxygen-16. Her work is as follows: Part 1: One neutron's mass is 1.008665 amu, while one proton's mass is 1.007276 amu. In oxygen - 16 there are 8 protons and 8 neutrons with a total mass of 16.127528 amu. (1.007276x8)+(1.008665x8)=16.127528 Part 2: Because the mass of oxygen-16 is 15.994915 amu, the difference between the mass of an atom and the sum of its protons and neutrons is the mass defect. The mass defect for oxygen-16 is 0.132613 amu. 16.127528-15.994915 0.132613 Part 3: The missing mass in oxygen-16 is converted to the nuclear binding energy using Einstein's equation E = mc². The amount of energy is 1.19x1016 J, which I think is too high. E = mc² = (0.132613) × (3.00 x 108)2=1.193×1016 J Which part of the solution was there an error? a) Parts 2 and 3. b) Part 3 only. c) Parts 1 and 2. d) No error.
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