1268_Physics ProblemsTechnical Physics

1268_Physics ProblemsTechnical Physics - Chapter 45 P45.42...

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Chapter 45 609 P45.42 For a typical 235 U, Q = 208 MeV ; and the initial mass is 235 u. Thus, the fractional energy loss is Q mc 2 4 208 235 931 5 950 10 00950% == × = MeV u M e V u a f bg . .. . For the D-T fusion reaction, Q = 17 6 . M eV . The initial mass is m =+= 2 014 3 016 5 03 . u u af . The fractional loss in this reaction is Q mc 2 3 17 6 59 3 1 5 3 75 10 0 375% × = . . MeV .03 u MeV u 0375% 0 0950% 395 . . . = or the fractional loss in D - T is about 4 times that in U fission 235 . P45.43 The decay constant is λ × −− ln ln . 22 12 3 3 16 10 178 10 12 7 9 T yr s yr s 1 ej . The tritium in the plasma decays at a rate of RN × × F H G I K J F H G I K J L N M M O Q P P 200 10 10 1 50 0 9 14 6 . . . s cm cm m m 1 3 3 3 3 e j R = × × F H G I K J = 1 78 10 1 78 10 1 482 13 13 Bq Bq Ci 3.70 10 Bq Ci 10 . The fission inventory is 41 0 C i 482 Ci times greater 10 × ~10 8 than this amount. P45.44 Momentum conservation: 0 =+ mm Li Li vv αα , or, mv Li Li = . Thus, Km v m m m m v Li Li Li 2 Li Li Li Li Li = = F H G I K J 1 2 1 2 2 2 2 2 α K Li u 27 .0160 u ms u = F H G G I K J J ×= × F H I K F H I K 40026 925 10 114 2 6 2 6 2 . . K Li kg m s J MeV × = × = F H I K 1 14 1 66 10 9 25 10
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