You are watching: Calculate (in mev) the binding energy per nucleon for 12c.
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This is university Physics Answers v Shaun Dychko. We room going to calculation the binding power per nucleon the carbon-12 in component (a) and then because that carbon-14 in component (b). For this reason binding energy is the number of protons multiplied by the atomic mass the hydrogen plus the variety of neutrons in the nuclear species times the massive of a bare neutron minus the atomic mass that the nuclide. So we have 6 times 1.007825 atom mass units; this is the atomic mass that hydrogen including its electron that"s attached and we have 6 electron that us don"t desire them together I have contained in this number and also then this mass here for the atomic mass of carbon likewise includes 6 electrons and also the massive of 6 electrons and so that method these 6 electron masses release out and so that"s great and we room left in the end only with a distinction in the nuclides. And also so we have actually 6 times the fixed of a neutron here as well. And also we transform that into megaelectron volts every c squared and divide by 12 nucleons and we get 7.680 megaelectron volts per nucleon in carbon-12. For carbon-14, the number of protons is the exact same so this is tho 6 here and but we have 8 neutrons rather of 6 and then we have actually a different atomic mass for carbon-14 and we are dividing by 14 nucleons. And we acquire 7.520 megaelectron volts every nucleon. The takes less power to separation up the nucleons in a carbon-14 nucleus than it walk to break-up up all the nucleons in a carbon-12 nucleus. Currently to watch if that distinction is significant or not, we"ll discover the percent difference between them and this is the binding energy per nucleon because that carbon-12 minus that of carbon-14 split by carbon-12"s binding energy per nucleon and we gain a distinction of 2.1 percent. And also I assumption: v that"s adequate to make carbon-14 tend to decay an ext likely 보다 the an ext tightly tied carbon-12. Because this is an ext tightly bound definition that that takes takes more energy to break it apart; the carbon-12 is steady whereas the carbon-14 is not stable since it has less binding energy per nucleon.
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