If the energy released by a Hiroshima-size fission bomb (10 kiloton) were used t

Question

If the energy released by a Hiroshima-size fission bomb (10 kiloton) were used to supply the energy needs of the world, how many fission bombs would be needed for a year's supply of energy (using data from the table below)?

Energy of Various Obiects and Phenomena Object/phenomenon Big Bang Energy released in a supernova Fusion of all the hydrogen in Earth's oceans Annual world energy use Large fusion bomb (9 megaton) 1 kg hydrogen (fusion to helium) 1 kg uranium (nuclear fission) Hiroshima-size fission bomb (10 kiloton) 90,000-ton aircraft carrier at 30 knots 1 barrel crude oil Energy in joules 68 10 10 S 10 34 4x1020 3.8x 1016 6.4x1014 8.0× 10 4.2x1013 1.1x1010 5.9x 109 4.2x 109 1.2× 10 13 1 ton TNT 1 gallon of gasoline Daily home electricity use (developed countries) 7x10 Daily adult food intake (recommended) 1000-kg car at 90 km/h 1 g fat (9.3 kcal) ATP hydrolysis reaction 1 g carbohydrate (4.1 kcal) 1 g protein (4.1 kcal) Tennis ball at 100 km/h Mosquito 10g at 0.5 m/s Single electron in a TV tube beam Energy to break one DNA strand 7 1.2× 10 3.1x105 3.9x 104 3.2x104 1.7× 104 1.7× 104 Mosquito (10-2 g at 0.5 m/s) 1.3x10-6 4.0x10-15 10-19

Explanation / Answer

annual world energy use=4*10^20 J

hiroshima size fission bomb releases 4.2*10^13 J

then number of fission bombs required=4*10^20/(4.2*10^13)=9.5238*10^6

hence 9.5238*10^6 number of fission bombs will be required to supply the energy being used in world per year.

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