Fundamentals of Physics Extended
Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 43, Problem 46P
To determine

To:

(a) show that the carbon cycle is exactly equivalent in its overall effects to the proton-proton cycle.

(b) verify that the two cycle have exactly the same Q value.

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Another set of reactions that result in the fusing ofhydrogen into helium in the Sun and especially in hotter starsis called the carbon cycle. It is12C + 1H → 13N + γ,13N → 13C + e+ + ve,13C + 1H → 14N + γ,14N + 1H → 15O + γ,15O → 15N + e+ + ve,15N + 1H → 12C + 4He.Write down the overall effect of the carbon cycle (as wasdone for the proton-proton cycle in2e− + 41H → 4 He + 2ve + 6γ ). Note the number of protons ( 1H ) required and assume that the positrons ( e+ ) annihilate electrons to form more γ rays.
The Sun generates energy by p-p proton-proton chain nuclear fusion.  The second step of p-p chain is:                          2H + 1H → 3He. The particle masses are 2.0141 u, 1.0078 u, 3.0160 u, for   2H, 1H, 3He, respectively.  This step produces _____ MeV of energy.
The half-life of 14C is t1/2 5 5730 years, and 1.00 g of modern wood charcoal has an activity of 0.255 Bq.(a) Calculate the number of 14C atoms per gram of carbon in modern wood charcoal.(b) Calculate the fraction of carbon atoms in the biosphere that are 14C.
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