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1261_Physics ProblemsTechnical Physics

1261_Physics ProblemsTechnical Physics - 602 P45.20...

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602 Applications of Nuclear Physics P45.20 (a) Lawson’s criterion for the D-T reaction is n τ 10 14 s cm 3 . For a confinement time of τ = 1 00 . s, this requires a minimum ion density of n = 10 14 3 cm . (b) At the ignition temperature of T = × 4 5 10 7 . K and the ion density found above, the plasma pressure is P nk T = = F H G I K J L N M M O Q P P × × = × 2 2 10 10 1 1 38 10 4 5 10 1 24 10 14 3 6 23 7 5 B 3 3 3 cm cm m J K K J m e j e je j . . . . (c) The required magnetic energy density is then u B P B = = × = × 2 0 5 6 2 10 10 1 24 10 1 24 10 µ . . J m J m 3 3 e j , B × × = 2 4 10 1 24 10 1 77 7 6 π N A J m T 2 3 e je j . . . P45.21 Let the number of 6 Li atoms, each having mass 6.015 u, be N 6 while the number of 7 Li atoms, each with mass 7.016 u, is N 7 . Then, N N N N 6 6 7 7 50% 0 075 0 = = + . . of total b g , or N N 7 6 0 925 0 075 0 = F H G I K J . . . Also, total mass = + × = N N 6 7 27 6 015 7 016 1 66 10 2 00 . . . . u u kg u kg a f a f e j , or N 6 27 6 015 0 925 0 075 0 7 016 1 66 10 2 00 . . . . . .
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