What is the Q-value of the reaction? `""^(1)H+""^(7)Lito ""^(4)He+""^(4)He` The atomic masses of `""^(1)H,""^(4)Heand ""^(7)Li` 1.007825u, 4.0026034u

Question

What is the Q-value of the reaction? `""^(1)H+""^(7)Lito ""^(4)He+""^(4)He` The atomic masses of `""^(1)H,""^(4)Heand ""^(7)Li` 1.007825u, 4.0026034u

What is the Q-value of the reaction?
`""^(1)H+""^(7)Lito ""^(4)He+""^(4)He`
The atomic masses of `""^(1)H,""^(4)Heand ""^(7)Li` 1.007825u, 4.0026034u and 7.01600u, respectively.
A. `17.35` Me V
B. `18.06` Me V
C. `177.35` Me V
D. `170.35` Me V

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - A
The total mass of the initial particles,
`m_(i)=1.007825+7.016004=8.023829u`
and the total mass of final particles,
`m_(f)=2xx4.002603=8.005206u`
Difference between initial and final mass of particles, `Deltam=m_(i)-m_(f)=8.023829=8.005206=0.018623u`
The Q-value is given by
`Q=(Deltam)c^(2)=0.018623xx931.5=17.35MeV`