Precise measurements give the following masses:nuclide mass23994Pu 239.0522u24194Pu 241.0569uparticle mass10n 1.0086649u0−1e ×5.485810−4u01e ×5.485810−4uNow consider the following nuclear reaction:→+23994Pu 210n 24194PuIs energy released or absorbed by this reaction?
Question
Precise measurements give the following masses:nuclide mass23994Pu 239.0522u24194Pu 241.0569uparticle mass10n 1.0086649u0−1e ×5.485810−4u01e ×5.485810−4uNow consider the following nuclear reaction:→+23994Pu 210n 24194PuIs energy released or absorbed by this reaction?
Solution
To determine whether energy is released or absorbed in a nuclear reaction, we need to calculate the mass difference before and after the reaction. This is based on the principle of mass-energy equivalence (E=mc^2) which states that mass can be converted into energy and vice versa.
Step 1: Calculate the total mass before the reaction The mass of 23994Pu is given as 239.0522u and the mass of 210n (neutron) is given as 1.0086649u. So, the total mass before the reaction is 239.0522u + 1.0086649u = 240.0608649u.
Step 2: Calculate the total mass after the reaction The mass of 24194Pu is given as 241.0569u.
Step 3: Calculate the mass difference The mass difference is the mass before the reaction minus the mass after the reaction. So, the mass difference is 240.0608649u - 241.0569u = -0.9960351u.
Since the mass difference is negative, it means that mass was lost during the reaction. According to the principle of mass-energy equivalence, this lost mass has been converted into energy. Therefore, energy is released by this reaction.
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