Power reactors (i.e., nuclear reactors designed for the production of electrical power) typically produce ²³⁹₉₄Pu as a by-product of the fission processes that occur in their fuel rods. On average, 0.8 nucleus of ²³⁹₉₄Pu is produced for each nucleus of ²³⁵₉₂U that undergoes fission. 

(a) If a reactor produces 100 MW of power through fission of ²³⁵₉₂U, how many nuclei of ²³⁹₉₄Pu are produced each second? 

(b) If this ²³⁹₉₄Pu could all be extracted from the fuel rods, how long would it take to have enough ²³⁹₉₄Pu to produce one ²³⁹₉₄Pu fission bomb? The critical mass of ²³⁹₉₄Pu is about 10 kg.