Concept explainers
The net energy released from the given steps.
Answer to Problem 59QAP
The net energy released from all three steps is
Explanation of Solution
Calculation:
Mass of
Mass of Deuterium
Mass of positron
Now, the 1st step of the reaction splits into two steps
Followed by a beta-plus decay
The mass deficit reaction for the 1st step should look like
But if you look at your first reaction, you are starting with two 1H's (1 electron in each atomic mass) and going to one
This gives us the following equation
The energy from 1 amu mass deficit is
The energy for this mass deficit can be calculated to be
The positron and the electron emitted in step-1, immediately interact and annihilate each other.
The mass deficit for this is
Energy released due to this mass deficit is
For Step 2
To calculate the energy released in this reaction we take the difference between the binding energies of
The energy released in this reaction,
For Step 3
The energy of this reaction is the difference between the binding energies of
The energy released for this step is
Now, we have the energies from all the three steps
Step-1 and Step-2 need to occur twice in order to prepare 2
So, the net energy of the proton-proton cycle is
Hence, the net energy released from all three steps is
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Chapter 27 Solutions
COLLEGE PHYSICS
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