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 scm 3 . For a confinement time of = 100 . s , this requires a minimum ion density of n = 10 14 3 cm . (b) At the ignition temperature of T 45 10 7 . K and the ion density found above, the plasma pressure is Pn k T == F H G I K J L N M M O Q P P ×× = × −− 22 1 0 10 1 1 3 81 0 4 51 0 1 2 41 0 14 3 6 23 7 5 B 3 3 3 cm cm m JK K Jm ej e j e j .. . . (c) The required magnetic energy density is then u B P B =≥ = × = × 2 0 56 2 10 10 1 24 10 1 24 10 µ 33 , B ≥× × = 2 4 10 1 24 10 1 77 76 π NA T 23 e 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, NN N N 66 7 750% 00750 + of total bg , or 0925 = F H G I K J . . . Also, total mass =+ ×= 67 27 6015 7016 166 10 200 . . u u k g u k g a f a f , or N 6 27 . . . . u k g u k g af + F H G I K J L N M M O Q P P . This yields N 6 25 130 10 . as the number of
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This note was uploaded on 12/15/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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