Chapter 31: Problem 12
(II) An example of a \(\textbf{stripping}\) nuclear reaction is \(\mathrm{d} + ^6_3\mathrm{Li}\) \(\rightarrow\) \(\mathrm{X} + \mathrm{p}\). (\(a\)) What is X, the resulting nucleus? (\(b\)) Why is it called a "stripping" reaction? (\(c\)) What is the \(Q\)-value of this reaction? Is the reaction endothermic or exothermic?
Short Answer
Step by step solution
Identify the components of the reaction
Determine the identity of X
Examine the concept of stripping
Calculate the Q-value for the reaction
Summarize the answers
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Stripping Reaction
In the example provided, deuterium collides with a lithium-6 nucleus. As a result of this interaction, the neutron component of deuterium is absorbed by lithium-6, transforming it into lithium-7. Simultaneously, the proton part is released from the reaction, hence the term "stripping".
- The process involves a breaking apart of the composite particle.
- One part is absorbed by the target nucleus.
- The other part is ejected from the nucleus.
Deuterium
Deuterium has a natural abundance on Earth, making it accessible for use in various scientific and industrial applications. Its unique composition, a solitary neutron paired with a proton, allows it to participate in stripping reactions, as seen in our example problem.
- Deuterium = Hydrogen isotope.
- Consists of 1 proton + 1 neutron.
- Symbol: \( \mathrm{d} \).
Q-Value
The Q-value is calculated using the equation \( Q = (m_{\text{initial}} - m_{\text{final}})c^2 \), where \( m_{\text{initial}} \) and \( m_{\text{final}} \) are the masses of the initial and final states, and \( c \) is the speed of light.
- If Q-value > 0, the reaction is exothermic (energy is released).
- If Q-value < 0, the reaction is endothermic (energy is absorbed).
Exothermic Reaction
In the case of our nuclear stripping reaction, the calculation yielded a Q-value of 2.477 MeV, which is positive. A positive Q-value is an indicator that the reaction is exothermic. The energy released can be significant, depending on the conditions and the particles involved in the reaction.
- Energy gets released.
- Positive Q-value indicates an exothermic nature.
- Important for energy generation and understanding nuclear reaction dynamics.