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91Ó°ÊÓ

According to the semiempirical binding energy formula, what should be binding energy per nucleon of technetium -98 .

Short Answer

Expert verified

The binding energy per nucleon of technetium - 98is −7.75716MeV/ nucleon.

Step by step solution

01

Given data

The given atom is technetium -98

02

Formula of Mass defect

Mass defect = Actual mass - Theoretical mass BindingenergyNucleon=Massdefect931.5MeVTotalnumberofnucleons …â¶Ä¦(1)

03

Calculation for the binding energy

The mass of technetium - 98is98.0amu.

Technetium - 98 contains 43 number of protons and 55 number of neutrons.

Theoretical mass of technetium−98.

Hydrogen atom mass=43×1.007825amu=43.336475amu.

Neutron mass=55×1.008665amu=55.476575amu .

Hence, theoretical mass of technetium−98=(43.336475+55.476575)amu .

Theoretical mass=98.81305amu.

Substitute the values of theoretical mass and actual mass of technetium - 98.

Mass defect.=(98.0−98.81305)amu=−0.81305amu

Substitute the value of mass defect in equation (1).

BindingenergyNucleon=−0.81305×931.5MeV98BindingenergyNucleon=−7.75716MeV/nucleon

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