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Chapter 42: Q20P (page 1303)

What is the binding energy per nucleon of 262Bh? The mass of the atom is 262.1231u.

Short Answer

Expert verified

The binding energy per nucleon of is 7.31MeVpernucleon.

Step by step solution

01

The given data

  1. The given atom is 262Bhwith atomic number Z = 107 and mass number A = 262.
  2. The mass of the atom,mBh=262.1231u
  3. The atomic mass of the hydrogen,mH=1.007825u
  4. The atomic mass unit of neutron,mn=1.008665u
02

Solve for the binding energy per nucleon of the atom:  

The binding energy per nucleon of an atom is as follows:

∆Ebe/nucleon=[ZmH+A-Zmn-matom]c2A …… (i)

03

Calculate the value of binding energy per nucleon

Using the given data in equation (i), determine the binding energy per nucleon of bohrium atom262Bh as follows:

∆Ebe/nucleon=1071.007825u+262-1071.008665u-262.1231u931.5MeVu262=7.31MeVpernucleon

Hence, the value of energy per nucleon is 7.31 MeV per nucleon.

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