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Question: 
  1. Give the ratio of the energy needed for the first reaction of the carbon cycle to the energy needed for a deuterium–tritium reaction (Example 31–9).
  2. If a deuterium–tritium reaction actually requires a temperature $T \approx 3 \times 10^8 \textrm{ K}$, estimate the temperature needed for the first carbon-cycle reaction.

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer: 
  1. $KE_{\textrm{total}} = 2.2 \textrm{ MeV}$. The carbon reaction requires 5 times as much initial kinetic energy as the deuterium-tritium reaction.
  2. $1.5 \times 10^9 \textrm{ K}$

Giancoli 7th Edition, Chapter 31, Problem 38

(4:10)

Chapter 31, Problem 38 is solved.

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