
Concept explainers
(a)
To find:The ratio of energy of carbon cycle and deuterium-tritium reaction
(a)

Explanation of Solution
The radius of atom that increases with atomic number
The carbon cycle reaction is
We assume the nuclei approach head-on, each with kinetic energy,and that the nuclear force comes into play when the distance between their centers equals the sum of their nuclear radii.
The electrostatic potential energyof the two particles at this distance equals the minimum totalkinetic energy of the two particles when far apart.
Similarly, for deuterium-tritium reaction
The ratio of energy of carbon cycle and deuterium-tritium reaction
Conclusion:
The ratio of energy of carbon cycle and deuterium-tritium reaction is 5
(b)
To find:Temperature needed for the first carbon-cycle reaction.
(b)

Answer to Problem 36P
Explanation of Solution
If a deuterium-tritium reaction actually requires a temperature
The ratio of energy of carbon cycle and deuterium-tritium reaction is 5
The kinetic energy is proportional to the temperature by
Since, the kinetic energy has to increase by a factor of 5, so does the temperature.
Temperature needed for the first carbon-cycle reaction,
Therefore, temperature needed for the first carbon-cycle reaction,
Chapter 31 Solutions
Physics: Principles with Applications
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