Concept explainers
(a)
The repulsive energy barrier in the carbon fusion reaction.
(a)
Answer to Problem 37P
The repulsive energy barrier in the carbon fusion reaction is
Explanation of Solution
Write the expression for the average kinetic energy of the carbon atom.
Here,
Conclusion:
Substitute
Therefore, the repulsive energy barrier in the carbon fusion reaction is
(b)
The energy released in each of the carbon burning reaction.
(b)
Answer to Problem 37P
The energy released in first reaction is
Explanation of Solution
Write the expression for the energy released in the first reaction.
Here,
Write the expression for the energy released in the second reaction.
Here,
Conclusion:
Substitute
Substitute
Therefore, the energy released in fist reaction is
(c)
The energy released when
(c)
Answer to Problem 37P
The energy released when
Explanation of Solution
Two carbon nuclei are used per reaction. The number of events take place in the fusion process is
Write the expression for the energy released in the first reaction.
Here,
Write the expression for
Here,
Use equation (II) in (I) to solve for
Conclusion:
Substitute
Therefore, the energy released when
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Chapter 30 Solutions
Principles of Physics: A Calculus-Based Text
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