E=mc2 Problem Help: Comparing Reactors and Batteries

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In summary, the celebrated equation E=mc2 or m=E/c2 explains the relationship between mass and energy, stating that a certain amount of mass, m, must be lost in order to generate a given amount of energy, E. This applies to both nuclear reactions and chemical reactions, but is more commonly observed in nuclear reactions due to the higher energy levels involved. Einstein discovered this equation in 1905, before the discovery of the nucleus, and showed that objects emitting or absorbing light also experience a change in mass. This explains why E=mc2 is true for both nuclear and chemical reactions.
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the celebrated equation E=mc2 or m=E/c2 (c is the speed of light) tells us how much mass is loss, m, must be suffered by a nuclear reactor in order to generate a given amount of energy, E/ Which of the following statements is correct?

a)The same equation, E=mc2 or m=E/c2, also tells us how much mass loss, m, must be suffered by a flashlight battery when the flashlight puts out a given amount of energy, E.

b) The equation E=mc2 applies to nuclear energy in a reactor, but not to chemical energy in a battery.
 
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Why would either be true? or Why would E=mc2 be true for a nuclear reaction, but not true for a chemical reaction. Nuclear reactions usually involved energies in the MeV range, while chemical reaction energies are in the eV range.
 
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Einstein developed E=mc^2 without knowing anything about the nucleus. His paper published in 1905 predated Rutherford's discovery of the nucleus by about six years. In his http://www.fourmilab.ch/etexts/einstein/E_mc2/e_mc2.pdf" , Einstein showed that any object emitting/absorbing light of energy L will lose/gain mass in the amount m = L/c^2. I think that should tell you the answer to the question.

AM
 
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Related to E=mc2 Problem Help: Comparing Reactors and Batteries

1. What does E=mc2 mean?

E=mc2 is a famous equation that was developed by Albert Einstein and it represents the relationship between energy (E), mass (m), and the speed of light (c). It states that the energy of an object is equal to its mass multiplied by the speed of light squared.

2. How does this equation relate to reactors and batteries?

Reactors and batteries are both sources of energy. E=mc2 helps us understand the amount of energy that can be produced from a certain amount of mass. In reactors, nuclear reactions convert a small amount of mass into a large amount of energy, while in batteries, chemical reactions convert a small amount of mass into electrical energy.

3. Which one is more efficient, a reactor or a battery?

This is a difficult question to answer because it depends on the specific reactor or battery being compared. Generally, reactors are more efficient than batteries because nuclear reactions release a lot more energy per unit of mass compared to chemical reactions. However, there are also advanced battery technologies that are becoming increasingly efficient.

4. Can we use E=mc2 to compare the energy output of different reactors?

Yes, E=mc2 can be used to compare the energy output of different reactors. By plugging in the mass of the reactants and the speed of light, we can calculate the amount of energy that will be produced. However, there are other factors that can affect the energy output of a reactor, such as the type of nuclear reaction and the efficiency of the reactor.

5. Is E=mc2 only applicable to reactors and batteries?

No, E=mc2 is a fundamental equation in physics and it can be applied to many different situations, not just reactors and batteries. It helps us understand the relationship between mass and energy, and it has been used to develop many important theories and technologies in fields such as astrophysics, nuclear physics, and particle physics.

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