Li9 has an atomic mass of 9020972 u Calculate its binding en

Li-9 has an atomic mass of 9.020972 u. Calculate its binding energy. Calculate the binding energy per nucleon for Li-9.

Solution

LI-9 mass is 9.020972u

first we have to find the mass defect in LI-9

MASS DEFECT

protons=3      m_p=1.00728amu    so        m = 3*1.00728=3.02184amu

nutron =6       m_n=1.00867amu    so        m= 6*1.00867=6.05202amu

M_d=(m_n + m_p) - m_o

_{=(3.02184+6.05202) - 9.20972u}

M_d= 0.052888amu

=0.052888*   1kg/6.02214*10²⁶    =8.7822601*10²⁶ kg

now we have to calecuate binding energy

E=MC²

E=8.7822601*10²⁶kg *   (3*10⁸m/s)²

= 7.9040341*10⁴³J

binding energy is 7.9040341*10⁴³ J