It is in my earlier post what binding energy means... now, how is it computed, or solved? I don't know, don't ask me, k? it's my notes... and the summary of how I understood this lesson(if there's anything understood)...
First:
the constants:
mass of protons- 1.007276u... please use 1.007825u
mass of neutrons- 1.008665u
the energy constant in the formula- 931.5MeV (MegaElectronVolts)<--->1u=931.5MeV
gets?
The sample problem: Find the Binding energy needed to take off 2 neutrons and 2 protons from a Carbon 14 atom...
the steps I can remember...
> compute for the total mass... (total mass of protons+ the total mass of neutrons)
ex. Carbon 12 has 6 neutrons and 6 protons..
6n= 6x 1.008665u= 6.05199u
6p= 6x 1.007825u= 6.04695u
-----------------------
12.09894u----> total mass...
> next is the "MASS DEFECT". Computed as the difference between the total mass and the actual mass... the actual mass can be seen in the periodic table of elements... (thanks for Dmitri Mendeleev for this one)
ex. Carbon 12's total mass is 12.09894u as shown in #1... and it's actual mass is 12.0000... The Mass Defect would be equal to 0.09894u
> the CRUNCH! the Binding energy itself... The formula for finding the binding energy is
BE= Md(931.5MeV/u)
(peace... i'm just too lazy to work on the formula properly, but it's correct... thanks to mome...)
ex. BE= 0.09894u(931.5MeV/u)
= 92.16261MeV is Carbon 12's binding energy... congrats...
And there you have it... the Binding energy of your atom... Sound's like the answer to the problem of our economy eh?
That's not all... you have availed my promo, getting the Binding Energy Per Nucleon (BEn= BE/total number of nucleons)
=(92.16261/ 12)
= 7.6802175MeV x 4
= 30.72087 MeV
In the said formula, the binding energy per nucleon is multiplied to four (2p and 2n... So, the final answer would be equal to 30.72087 MeV- the energy required to take off 2p and 2n...
That's all, hope you learned something... Don't Just read, analyze and think...
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2 comments:
Thanks for postings this.. actualy helped me remember something I had forgotten.
Thought I better leave a comment, as noone have postet so far on the posts I saw.
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