Mass to energy equivalence question

In summary, the conversation discusses determining the amount of mass equal to 17.6 MeV of energy from a fusion reaction. The equation E=mc2 is mentioned, but it is determined to be irrelevant as the solution can be found using a ratio of energies. The rest energy of 1 amu of mass, 931.5 MeV, is used for this calculation. However, the units were not properly accounted for in the attempt at a solution.
  • #1
eXmag
36
0

Homework Statement



An unknown amount of mass lost from a fusion reaction is converted to energy. Determine the amount of mass equal to 17.6 MeV of energy.

Homework Equations



E=mc2?

The Attempt at a Solution



17.6=m(931.5)
m=0.01889u
Not sure if this is correct
 
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  • #2
eXmag said:

Homework Statement



An unknown amount of mass lost from a fusion reaction is converted to energy. Determine the amount of mass equal to 17.6 MeV of energy.

Homework Equations



E=mc2?

The Attempt at a Solution



17.6=m(931.5)
m=0.01889u
Not sure if this is correct

Where did "931.5" come from? √(931.5) = 30.52, I don't recognize this as being c ...
 
  • #3
rude man said:
Where did "931.5" come from? √(931.5) = 30.52, I don't recognize this as being c ...

931.5 MeV is the rest energy of 1 amu of mass. The 'attempt at a solution' wasn't very well explained. To say the least.
 
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  • #4
Dick said:
931.5 MeV is the rest energy of 1 amu of mass. The 'attempt at a solution' wasn't very well explained. To say the least.

Yeah, so looks like E = mc2 is irrelevant & we have just a ratio of energies and finding out how many gm to 1 a.m.u.?
 
  • #5
rude man said:
Yeah, so looks like E = mc2 is irrelevant & we have just a ratio of energies and finding out how many gm to 1 a.m.u.?

The easy way to solve it is to use 1amu*c^2=931.5 MeV (because you've memorized it) and solve it using ratios. That's how the OP got the right answer if u=amu. But the OP butchered the units and I know the OP doesn't know whether it's right or wrong. That's not good. Just using E=mc^2 and paying some attention to units would be much better. It would show understanding. It's hardly irrelevant. I was just pointing out where the 931.5 came from.
 
Last edited:

Related to Mass to energy equivalence question

1. What is the concept of mass to energy equivalence?

The concept of mass to energy equivalence is based on Albert Einstein's famous equation, E=mc², which states that mass and energy are interchangeable and can be converted from one form to the other.

2. How is mass converted to energy?

Mass can be converted to energy through nuclear reactions, which involve the splitting of atoms or the fusion of atoms to release large amounts of energy. This process is used in nuclear power plants and nuclear weapons.

3. Can any amount of mass be converted to energy?

According to Einstein's equation, any amount of mass can theoretically be converted to energy. However, the amount of energy produced is directly proportional to the mass being converted. This means that a large amount of mass is required to produce a significant amount of energy.

4. What are the practical applications of mass to energy equivalence?

The practical applications of mass to energy equivalence include nuclear power, nuclear weapons, and medical applications such as positron emission tomography (PET) scans. Additionally, this concept is used in understanding the processes that occur in stars and other celestial bodies.

5. Is the conversion of mass to energy reversible?

Yes, the conversion of mass to energy is reversible. Energy can be converted back into mass through the process of pair production, where high-energy photons (particles of light) are converted into matter and antimatter particles.

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