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Find the Q value of the reaction H^1+Li^...

Find the Q value of the reaction `H^1+Li^7 to He^4 + He^4`. Determine whether the reaction is exothermic or endothermic? The atomic mass of `H^1, He^4` and `Li^7` are 1.007825 u, 4.002603 u and 7.016004 u respectively.

Text Solution

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The total mass of the initial particles
`m_(1)= 1.00 78 25 + 7.016004 = 8.0233829 u and` the total mass of the final particles
`m_(f) = 2xx 4 .002603 = 8.005206 u `
Difference between initial and final mass of particles
`Deltam=m_(i) -m_(f) = 8.023829 - 8.005206 = 0.018623` u
This mass is converted into energy and the reaction is exothermic . The Q value is positive and given by
`Q = (Deltam)c^2 = 0.018623 xx 931.5 = 17.35 MeV`
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