Calculate the nuclear binding energy (in joules) and the nuclear binding energy per nucleon of: 113...

Calculate the nuclear binding energy (in joules) and the nuclear binding energy per nucleon of:

¹¹³	Cd
₄₈	Cd

(112.904401 amu)

(Round each final answer to 4 significant figures.)

______J

_______J/nucleon

Solutions

Expert Solution

No. of protons in cadmium = 48

No. of neutrons in cadmium = 113-48 = 65

Theoretical mass of cadmium = 48(1.007825 amu) + 65(1.008665 amu) = 48.3756+65.5632 = 113.9388 amu

Actual mass of cadmium = 112.904401 amu

Mass defect = actual mass - theoretical mass of cadmium = 112.904401 - 113.9388 = -1.034399 amu

1 amu ---> 1.49 x 10^-10 J

-1.034399 amu -----> === Nuclear Binding energy in Joules = -1.03499 amu x 1.49 x 10^-10 J/1 amu = - 1.542 x 10^-10 J (with four significant numbers)

Nuclear Binding energy/nucleon = Binding energy/nucleon = - 1.542 x 10^-10 J/113 nucleons = -0.01365 x 10^-10 J/nucleon = -1.365 x 10^-12 J/nucleon (with four significant numbers)

queen_honey_blossom answered 1 year ago

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