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Find the Q value of the reaction P + .^(...

Find the `Q` value of the reaction `P + .^(7) Li rarr .^(4) He +.^(4) He`. Determine whether the reaction is exothermic or endothermic. The atomic masses of `.^(1) H,.^(4) He` and `.^(7)Li` 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_(i) = 1.007825 + 7.016004=8.023829u` and the total mass of the final particles
`m_(f) = 2 xx4.002603 = 8.005206u`
Difference between initial and final mass of particles
`Deltam=m_(i)-m_(f) = 8.023829 - 8.005206 =0.018623u`
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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