(II) Calculate the Q -value for the "capture" reaction α+18 O →10^20 Ne+γ.

Name: Problem 9, Chapter 31: Physics Principles with Applications
Uploaded: 2020-07-21T02:04:21-08:00
Duration: 1 min 36 s
Channel: Ren Jie Tuieng
Description: (II) Calculate the Q -value for the "capture" reaction α+18 O →10^20 Ne+γ.

step 1 For this question we're interested in looking at what is the Q value of this particular reaction

(II) Calculate the Q -value for the "capture" reaction α+18...

Key Concepts

Mass Defect

The mass defect is the difference between the combined mass of individual nucleons in a nucleus and the actual mass of the nucleus itself. This difference arises because binding energy, which holds the nucleons together, reduces the total mass. In calculations of the Q-value, the mass defect is a key factor since it directly relates to the energy change in the reaction.

Capture Reaction

A capture reaction refers to a process in which a nucleus absorbs a particle (such as an alpha particle) and transitions to a higher mass or excited state, typically releasing the excess energy in the form of a gamma-ray photon. This type of reaction is an important mechanism in nuclear synthesis and astrophysics and involves energy changes that can be quantified using the Q-value.

Q-value

The Q-value is the net energy released or absorbed in a nuclear reaction. It is determined by calculating the difference between the total mass-energy of the reactants and that of the products, with any excess mass converted to energy according to 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 of physics encapsulated by the formula E = mc², which states that mass can be converted to energy and vice versa. In nuclear reactions, even small differences in mass between reactants and products can correspond to significant amounts of energy because of the large value of the speed of light squared (c²).

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