A) According to the U.S. Energy Information Administration, the United States ge

Question

A) According to the U.S. Energy Information Administration, the United States generated approximately 4.12×1012 kWh of electrical energy during 2010. If we could generate all this energy using a matter-antimatter reactor, how many kilograms of fuel would the reactor need, assuming 100% efficiency in the annihilation?

B) Suppose the fuel consisted of aluminum and anti-aluminum, each of density 2710 kg/m3. If the aluminum and anti-aluminum were each stored as a cubical pile, what would the side-length of each cube be?

Explanation / Answer

A)m*c2 = 4.12*1012 *1000*3600

m*(3*108)2 = 4.12*1012 *1000*3600

m= 164.8kg

aluminum and anti aluminum is present in equal amount so each will have 164.8kg / 2 =82.4kg

volume= mass / density =82.4/2710 0.0304m3

if is side is having L meter length than L3 = 0.0304

from above L= 0.312m

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