To calculate:
The energy released in each of the given reactions.
Answer to Problem 21.19QA
Solution:
The energy released is for each of the given reactions is as follows:
a.
b.
c.
d.
Explanation of Solution
1) Concept:
The reactions of formation of silicon isotope are given, and we are asked to find the energy released during each of the given reactions in Joules. First we need to find the mass defect between the masses of silicon isotope and given reactant isotopes. Due to this mass defect, energy is released, which can be calculated using the Einstein’s equation
2) Formulae:
i)
ii)
3) Given:
i) Mass of Nitrogen
ii) Mass of Boron
iii) Mass of Oxygen
iv) Mass of Hydrogen
v) Mass of Carbon
vi) Mass of Magnesium
vii) Mass of Helium
viii) Mass of Silicon
ix) Velocity of light
x)
4) Calculations:
a. For the reaction of formation of
First, we calculate the difference in the mass of the particles, that is, mass defect:
The mass difference in
Now the energy released during the reaction is
Thus, the energy released during the first given reaction is
b. For the reaction of formation of
First, we calculate the difference in the mass of the particles:
The mass difference in
Now the energy released during the reaction:
Thus, the energy released during the second given reaction is
c. The third given equation is
First, we calculate the difference in the mass of the particles:
The mass difference in
Now the energy released during the reaction:
Thus, the energy released during the third given reaction is
d. The fourth equation given as:
First, we calculate the difference in the mass of the particles:
The mass difference in
Now the energy released during the reaction:
Conclusion:
The lost mass during the reaction results in energy release that can be calculated using Einstein’s equation.
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