If the nuclear binding energy of an atom of Be-9 is 9.6979 x 10-12 J/atom, calculate...

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Chemistry

If the nuclear binding energy of an atom of Be-9 is 9.6979 x10^-12 J/atom, calculate the atomic mass of thenuclide.

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Given nuclear binding energy of Be atom is E= 9.6979 x 10^-12 J

We know that binding energy , E = mc²

Where m = mass of Be

Â Â Â Â Â Â Â Â Â Â c = speed of light = 3.0x10⁸ m/s

Plug the values we get m = E / c²

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (9.6979 x 10^-12 J) / (3.0x10⁸ m/s)²

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1.078x10^-28 kg

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (1.078x10^-28 kg)/( 1.66x10^-27 kg/mu)Â Â Â Â Â Â Â Â Â Â Â Since 1 amu = 1.66x10^-27 kg

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.0649 amu

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