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A given coin has a mass of 3.0 g. Calculate the nuclear energy

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A given coin has a mass of 3.0 g. Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other. For simplicity assume that the coin is entirely made of $_{29}^{63} C u$ atoms (of mass 62.92960 u).

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A given coin has a mass of 3.0 g. Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other. For simplicity assume that the coin is entirely made of

_{29}^{63} C u

atoms (of mass 62.92960 u).

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Text solutionVerified

Number of atoms in a 3g coin=

\frac{6.023 \times 1 0 ^{23} \times 3}{63} = 2.868 \times 1 0^{22}

Each copper atom has 29 protons and and 34 neutrons.

Thus, the mass defect of each atom is

29 \times 1.00783 + 34 \times 1.00867 - 62.92960 = 0.59225 u

Total mass defect of all atoms =

0.59225 u \times 2.868 \times 1 0^{22} = 1.6985 \times 1 0^{22} u

Thus, the nuclear energy required=

1.6985 \times 1 0^{22} \times 931 M e V = 1.58 \times 1 0^{25} M e V

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Question Text	A given coin has a mass of 3.0 g. Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other. For simplicity assume that the coin is entirely made of $_{29}^{63} C u$ atoms (of mass 62.92960 u).
Answer Type	Text solution:1
Upvotes	150

A given coin has a mass of 3.0 g. Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other. For simplicity assume that the coin is entirely made of 2963​Cu atoms (of mass 62.92960 u).

Text solutionVerified

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A given coin has a mass of 3.0 g. Calculate the nuclear energy that would be required to separate all the neutrons and protons from each other. For simplicity assume that the coin is entirely made of $_{29}^{63} C u$ atoms (of mass 62.92960 u).