Precise measurements give the following masses:nuclide mass2713Al 26.98154u42He 4.00260u3015P 29.97831uparticle mass10n 1.0086649u0−1e ×5.485810−4u01e ×5.485810−4uNow consider the following nuclear reaction:→+2713Al 42He + 3015P 10nIs energy released or absorbed by this reaction? releasedabsorbedneither releasednor absorbedI need moreinformation to decide.
Question
Precise measurements give the following masses:nuclide mass2713Al 26.98154u42He 4.00260u3015P 29.97831uparticle mass10n 1.0086649u0−1e ×5.485810−4u01e ×5.485810−4uNow consider the following nuclear reaction:→+2713Al 42He + 3015P 10nIs energy released or absorbed by this reaction? releasedabsorbedneither releasednor absorbedI need moreinformation to decide.
Solution
To determine whether energy is released or absorbed in this nuclear reaction, we need to calculate the mass difference before and after the reaction.
The mass before the reaction is the mass of 2713Al and 42He, which is 26.98154u + 4.00260u = 30.98414u.
The mass after the reaction is the mass of 3015P and 10n, which is 29.97831u + 1.0086649u = 30.9869749u.
The mass difference is 30.9869749u - 30.98414u = 0.0028349u.
According to Einstein's mass-energy equivalence principle (E=mc^2), the mass difference can be converted into energy. If the mass after the reaction is greater than the mass before the reaction, energy is absorbed. If the mass after the reaction is less than the mass before the reaction, energy is released.
In this case, the mass after the reaction is greater than the mass before the reaction, so energy is absorbed by this reaction.
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