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What is the Q-value of the reaction? "...

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

Text Solution

Verified by Experts

The correct Answer is:
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`
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