(II) Calculate the Q -value for the "capture" reaction α+8^16 O →10^20 Ne+γ

Name: Problem 9, Chapter 42: Physics for Scientists and Engineers with Modern Physics
Uploaded: 2020-02-04T16:02:33-08:00
Duration: 3 min 7 s
Channel: Zulfiqar Ali
Description: (II) Calculate the Q -value for the "capture" reaction α+8^16 O →10^20 Ne+γ

step 1 Well, we know that Q is equal to Q is equal to mass of alpha times c squared plus a mass of oxyg

(II) Calculate the Q -value for the "capture" reaction...

Key Concepts

Q-value

The Q-value of a nuclear reaction is the net amount of energy released or absorbed during the reaction. It is calculated by taking the difference between the total rest mass energy of the reactants and that of the products, using Einstein’s mass-energy equivalence principle (E=mc²). A positive Q-value indicates that the reaction releases energy, while a negative Q-value indicates that energy is required for the reaction to proceed.

Mass-Energy Equivalence

Mass-energy equivalence is a fundamental principle in physics expressed by Einstein’s equation, E=mc², which states that mass can be converted into energy and vice versa. This principle is essential for understanding nuclear reactions where small differences in mass translate into significant amounts of energy.

Nuclear Binding Energy

Nuclear binding energy represents the energy required to disassemble a nucleus into its individual protons and neutrons. The differences in binding energies between the reactants and products in a nuclear reaction are what determine the energy release (or absorption) observed as the Q-value.

Radiative Capture Reaction

A radiative capture reaction is a type of nuclear reaction where a nucleus captures a particle, such as an alpha particle, and transitions to a higher-mass nucleus while emitting a gamma photon. This process is important in nuclear astrophysics and energy generation, and its analysis often involves calculating the Q-value to determine the energetics of the reaction.

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