Given
m[U(238,92)]=238.05079 u
m[Ce(140,58)]=139.90543 u
m[Ru(99,44)]=98.90594 u
m[n(1,0)]=1.008665 u
Doubt by Dev & Aishwarya
Solution :
U(238,92) + n(1,0) → Ce(140,58) + Ru(99,44) + electrons / positrons
ATQ
Mass of Electrons and Positrons has to be neglected.
Mass of Electrons and Positrons has to be neglected.
Mass Defect = [Mass of Reactants] - [Mass of Products]
Δm = m[U(238,92)]+m[n(1,0)] - {m[Ce(140,58)]+m[Ru(99,44)]}
Δm = m[U(238,92)]+m[n(1,0)] - m[Ce(140,58)]-m[Ru(99,44)]
Δm = 238.05079 + 1.008665 - 139.90543 - 98.90594
Δm = m[U(238,92)]+m[n(1,0)] - m[Ce(140,58)]-m[Ru(99,44)]
Δm = 238.05079 + 1.008665 - 139.90543 - 98.90594
Δm = 239.059455 - 238.81137
Δm = 0.248085 u
Δm = 0.248085 u
We know,
1 u = 931 MeV
1 u = 931 MeV
So
0.248085 u will have [0.248085 × 931] MeV of energy.
0.248085 u will have [0.248085 × 931] MeV of energy.
Q = 0.248085 × 931
Q = 230.967135
Q = 230.97 MeV
Q = 230.967135
Q = 230.97 MeV
Required Q Value of the reaction is 230.97 MeV.