The use of hydrogen fusion to supply energy is a dream that may be realized in t

Question

The use of hydrogen fusion to supply energy is a dream that may be realized in the next century. This represents a relatively clean and almost limitless supply of energy. For example, there is enough hydrogen in the ocean to create 10^34 J of energy via fusion.

Calculate how many years the energy needs of the world could be supplied by one millionth of the oceans' hydrogen fusion energy, assuming the future world will use 6.5 times the energy we do now (the world's yearly energy usage now is around 4 x 10^20 J).

Explanation / Answer

here,

energy usage of world at the present, E = 4 * 10^20 J

energy usage in future per year, E' = 6.5 * E

energy of hydrogen in one ocean , Eo = 10^34 J

energy of hydrogen in 1 million ocean , Eh = 10^34 * 10^6 = 10^40 J

the number of years are , n = Eh /( E') = Eh/( 6.5 * E)

n = ( 10^40) /( 6.5 * 4 * 10^20)

n = 3.85 * 10^18 years

number of years , the energy needs of world are supplied is 3.85 * 10^18 years

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