An Antimatter Reactor. When a particle meets its antiparticle, they annihilate each other and their mass is converted to light energy. The United States uses approximately 1.0 × 10 20 J of energy per year, (a) If all this energy came from a futuristic antimatter reactor, how much mass of matter and antimatter fuel would be consumed yearly? (b) If this fuel had the density of iron (7.86 g/cm 3 ) and were stacked in bricks to form a cubical pile, how high would it be? (Before you get your hopes up, antimatter reactors are a long way in the future—if they ever will the feasible.)
An Antimatter Reactor. When a particle meets its antiparticle, they annihilate each other and their mass is converted to light energy. The United States uses approximately 1.0 × 10 20 J of energy per year, (a) If all this energy came from a futuristic antimatter reactor, how much mass of matter and antimatter fuel would be consumed yearly? (b) If this fuel had the density of iron (7.86 g/cm 3 ) and were stacked in bricks to form a cubical pile, how high would it be? (Before you get your hopes up, antimatter reactors are a long way in the future—if they ever will the feasible.)
An Antimatter Reactor. When a particle meets its antiparticle, they annihilate each other and their mass is converted to light energy. The United States uses approximately 1.0 × 1020 J of energy per year, (a) If all this energy came from a futuristic antimatter reactor, how much mass of matter and antimatter fuel would be consumed yearly? (b) If this fuel had the density of iron (7.86 g/cm3) and were stacked in bricks to form a cubical pile, how high would it be? (Before you get your hopes up, antimatter reactors are a long way in the future—if they ever will the feasible.)
The sun produces energy by nuclear fusion reactions, in which matter is converted into energy. By measuring the amount of energy we receive from the sun, we know that it is producing energy at a rate of 3.8 * 1026 W. (a) How many kilograms of matter does the sun lose each second? Approximately how many tons of matter is this (1 ton = 2000 lb)? (b) At this rate, how long would it take the sun to use up all its mass?
There is approximately 1034 J of energy available from fusion of hydrogen in the world's oceans.
a) If 1038 J of this energy were utilized, what would be the decrease in mass of the oceans?
Assume that about 0.08% of the mass of a water molecule is converted to energy during the fusion of hydrogen.
kg
b) How great a volume of water does this correspond to?
m3
The nuclear reaction that powers the radioisotope thermoelectric generator is
2382Pu → 23U + He. The atomic masses of plutonium-238 and uranium-234 are
238.049554 amu and 234.040946 amu, respectively. The mass of an alpha particle is
4.001506 amu. How much energy in kJ is released when 1.00 g of plutonium-238
decays to uranium-234?
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