Question

Jezebel is a bare, fast, spherical shaped critical reactor made of pure 239Pu metal of density 15.4 gm/cmA3. Calculate the critical radius and critical mass of the reactor using the following 1- group data: v 2.98, ơF 1.85 barn, σ,-0.26 barn and σ,-6.8 barn. The fission rate density at the center of the reactor is 2.5 × 1011 fission/cm^3/s. Determine the flux equation for the reactor everywhere satisfying 0 < r s R. what is the flux at the center of the reactori.e.@r-on fl/. (, - Assume energy released per fission of 239Pu is 215 Mev, what is the power produced in the reactor? a. b. Rer. c. d. 6: 1243 7.1g

Answer 1

Regeneration factor is eta = v sigma_t/sigma_R + sigma_gamma eta = 2.98 * 1.85/1.85 + 0.26 = 2.6128 sigma_tr = sigma_tr rho Av/M = 6.8 * 10^-24 15.4 * 6.023 * 10^23/239 = 0.2639/cm sigma_a = sigma_a rho Au/M = (1.85 + 0.26) * 10^-24 15.4 * 6.023 * 10^23/239 = 0.08188/cm Lt^2 = 1/3 sigma_tr sigma_a = 1/3 times 0.269 * 0.08188 = 15.425 cm^2 critical radius = R_c = pi squareroot Lt^2/eta - 1 = pi squareroot 15.425/2.6128 - 1 = 9.716 cm volume of sphere is V_C = 4/3 pi R_C^3 = 4/3 pi(9.716)^3 = 3841.54 cm^3 Critical mass if M_C = V_CP = 3841.54 * 15.4 = 59160 g = 59.2 kg