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Physics 213 General Physics Lecture 26 Last Meeting: Nuclear Physics I Today: Nuclear Physics II, Applications Practice Problems 2 3 4 5 6 7 8 9 Fusion in the Sun All stars generate energy through fusion The Sun, along with about 90% of other stars, fuses hydrogen Some stars fuse heavier elements Two conditions must be met before fusion can occur in a star The temperature must be high enough The density of the nuclei must be high enough to ensure a high rate of collisions 10 Proton-Proton Cycle The proton-proton cycle is a series of three nuclear reactions believed to operate in the Sun Energy liberated is primarily in the form of gamma rays, positrons and neutrinos 2 H is deuterium, and 1 may be written as 21D H 11H 12H e 1 1 H 12H 23He 1 1 Then H 23He 24He e 1 1 or 3 2 He 23He 24He 2 11H 11 Fusion Reactors Energy releasing fusion reactions are called thermonuclear fusion reactions A great deal of effort is being directed at developing a sustained and controllable thermonuclear reaction A thermonuclear reactor that can deliver a net power output over a reasonable time interval is not yet a reality 12 Energy Consumption on Earth Oil will last ~ 20-- 50 yrs, given the current rate of consumption of 7 x 1012 J/s. Coal will last hundreds of years. Uranium (fission) will last thousands of years. Deuterium (fusion) will last hundreds of million of years. Solar energy (?) will last billions of years. 13 14 (Roentgen equivalent man – same biological effectiveness as 1 Rad of x-ray) 15 / yr 16 17 18 19 What energy must be added or given off in a reaction where two hydrogen atoms and two neutrons are combined to form a helium atom? (Atomic masses for each: hydrogen, 1.007 825 u; neutron, 1.008 665 u; helium, 4.002 602 u; also, 1 u = 931.5 MeV/c2) 1. 10.7 MeV added 2. 10.7 MeV given off 3. 28.3 MeV given off 4. 0.931 MeV added 5. None of the above, the reaction is not possible due to conservation of energy. 20 If a fossil bone is found to contain 1/8th as much Carbon-14 as the bone of a living animal, what is the approximate age of the fossil? (half-life of 14C = 5 730 years) 1. 2,640 years 2. 17,200 years 3. 32,900 years 4. 45,800 years 5. 60,300 years 21