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In the fusion reaction, we have talked about the CNO cycle. Please calculate the

ID: 1828699 • Letter: I

Question

In the fusion reaction, we have talked about the CNO cycle. Please calculate the energy released or absorbed in each step of the reaction as described below and calculate the net energy of the total reaction:

In the fusion reaction, we have talked about the CNO cycle. Please calculate the energy released or absorbed in each step of the reaction as described below and calculate the net energy of the total reaction: C12 + H rightarrow N13 N13 rightarrow C13 + e+ C13 + H rightarrow N14 N14 + H rightarrow O15 O15 rightarrow N15 + e+ N15 + H rightarrow C12 + He4 Total Useful rest mass energies H = 938.789 MeV He = 3,728.42 MeV C12 = 11,178 MeV C13 = 12,112.6 MeV N13 = 12,114.8 Mev N14 = 13,043.9 MeV O 15 = 13,973.3 MeV N15 = 13,972.6 MeV Electron: e - = 0.51 MeV Positron: e+ = -0.51 MeV

Explanation / Answer

C12 + H---> N13

energy released =11,178 +938.789 -12114.8 =1.989MeV

N13 ---->C13 +e+

energy released = 12114.8 -12112.6 -(-0.51) = 3.31MeV

C13 +H --->N14

energy released = 12112.6 +938.789 -13043.9 = 7.489MeV

N14 +H --->O15

energy released =13043.9 +938.789 -13973.3 = 9.389MeV

O15 --->N15 +e-

energy released =13973.3 -13972.6-0.51 = 0.19MeV

N15 + H --->C12 + He

energy released =13972.6 +938.789 - 11178-3728.42 = 4.969MeV


Net energy released = 27.336 MeV

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