Chapter 32, Problem 38PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# Verify that the total number of nucleons, total charge, and electron family number are conserved for each of the fusion reactions in the carbon cycle given in the above problem. (List the value of each of the conserved quantifies before and after each of the reactions.)

To determine

To Verify:

that the total number of nucleons, total charge, and electron family number are conserved for each of the fusion reactions in the carbon cycle given in the above problem.

Explanation

Carbon cycle is given by

â€ƒâ€ƒC12+H1â†’N13+Î³N13â†’C13+e++Ï…eC13+H1â†’N14+Î³N14+H1â†’O15+Î³O15â†’N15+e++Ï…eN15+H1â†’C12+H4e

1. C12+H1â†’N13+Î³
2. Nucleons

â€ƒâ€ƒLHS = 12 + 1 = 13

â€ƒâ€ƒRHS = 13

â€ƒâ€ƒHence verified.

Total charge

â€ƒâ€ƒLHS = 6+1 = 7

â€ƒâ€ƒRHS = 7

â€ƒâ€ƒHence verified.

Electron family number

â€ƒâ€ƒLHS = 0

â€ƒâ€ƒRHS = 0

â€ƒâ€ƒHence verified.

3. N13â†’C13+e++Ï…e
4. Nucleons

â€ƒâ€ƒLHS = 13

â€ƒâ€ƒRHS = 13

â€ƒâ€ƒHence verified

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