1270_Physics ProblemsTechnical Physics

1270_Physics ProblemsTechnical Physics - P45.49 a The...

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Chapter 45 611 P45.49 (a) The thermal power transferred to the water is P w = 0.970 waste heat af w =− = × 0 970 3 065 1 000 2 00 10 9 .. bg MW J s r w is the mass of water heated per hour: r cT w w == × ⋅° ° ej 200 10 3600 4186 3 50 491 10 9 8 . . . Js sh Jkg C C kg h . The volume used per hour is 100 10 8 3 5 . . . × × kg h kg m mh 3 3 . (b) The 235 U fuel is consumed at a rate r f = × × F H G I K J F H G I K J F H G I K J = 3065 10 1 1000 0141 6 7.80 10 J g kg g s 1 h kg h 10 P45.50 The number of nuclei in 0.155 kg of 210 Po is N 0 23 23 155 6 02 10 4 44 10 = F H G I K J ×= × g 209.98 g mol nuclei mol nuclei . The half-life of 210 Po is 138.38 days, so the decay constant is given by λ × −− ln ln . 22 138 38 8 64 10 580 10 12 4 81 T d s d s . The initial activity is RN 00 2 3 1 6 5 80 10 4 44 10 2 58 10 ==× × . s n u c l e i B q e j . The energy released in each 84 210 82 206 2 4 Po Pb He →+ reaction is Q MMM c 84 210 82 206 2 4 2 Po Pb He : Q = 209 982 857 205 974 449 4 002 603 5 41 . . u 931.5 MeV u MeV . Thus, assuming a conversion efficiency of 1.00%, the initial power output of the battery is == × × = 00100 00100 258 541 160 10 223 0 13 . . . bgbg RQ 10 decays s MeV decay J MeV W 16 . P45.51 (a) V m A 3 ρ , so
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