Calculate the k k k -eff of natural uranium sphere of infinite radius, and density 19 g

Calculate the $k$-eff of natural uranium sphere of infinite radius, and density $19g/cc$. Given$\overline{\nu }\left(U^{235}\right)=2.5;{\sigma }_f\left({}^{}U\right)=600b;{\sigma }_c\left({}^{}U\right)=100b,{\sigma }_f\left({}^{}U\right)=0b;{\sigma }_c\left({}^{}U\right)=3b$. Composition ${}^{}U/{}^{}U=0.7/99.3$.

$\Delta =M-A$ is the "mass excess," where $M$ is the mass of a nuclide and $A$ its mass number. These data are given in the Nuclear Wallet cards, and elsewhere. The data given below may be useful in solving some of the problems.

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Nuclide n H 2H 4He 23 Na 24Na A (MeV) 8.071 7.289 13.136 2.425 -9.530 -8.418 56Fe -60.601 Nuclide 231 Th 232 Th 235U 236U 238U A (MeV) 33.811 35.444 40.914 42.441 47.304