The mass defect of the helium nucleus ⁴He₂ is 0.030377 u
Further explanation
Mass defect means the difference between the mass of particles forming an atom with an atomic mass.
[tex]\large {\boxed {\Delta m = [ Z ( m_p + m_e) + (A - Z)m_n ] - M} }[/tex]
Δm = mass defect ( u )
mp = mass of proton ( u )
me = mass of electron ( u )
mn = mass of neutron ( u )
M = atomic mass ( u )
A = mass number
Z = atomic number
Let us now tackle the problem !
Given :
[tex]\text{mass of proton} = m_p = 1.00728 ~ u[/tex]
[tex]\text{mass of electron} = m_e = 0.00055 ~ u[/tex]
[tex]\text{mass of neutron} = m_n = 1.00866 ~ u[/tex]
[tex]\text{atomic mass} = M = 4.002603 ~ u[/tex]
[tex]\text{atomic number} = Z = 2[/tex]
[tex]\text{mass number} = A = 4[/tex]
Unknown :
Δm = ?
Solution :
[tex]\Delta m = [ Z ( m_p + m_e) + (A - Z)m_n ] - M[/tex]
[tex]\Delta m = [ 2 ( 1.00728 + 0.00055 ) + ( 4 - 2 )( 1.00866 ) ] - 4.002603[/tex]
[tex]\Delta m = [ 2.01566 + 2.01732 ] - 4.002603[/tex]
[tex]\Delta m = 4.03298 - 4.002603[/tex]
[tex]\boxed {\Delta m = 0.030377 ~ u}[/tex]
Learn more
- Rutherford’s major achievements : https://brainly.com/question/1552732
- Unit of radius of an atom : https://brainly.com/question/1968819
- Fusion : https://brainly.com/question/11395223
Answer details
Grade: College
Subject: Physics
Chapter: Nuclear Physics
Keywords: Mass , Defect , Nucleon , Number , Atomic , Proton , Electron , Neutron
