Use the 4-factor formula to explore K-infinity for a light water reactor geometry over a range of moderator to fuel ratios. (a) Co-plot each of the four factors and K-infinity vs moderator to fuel ratio (n,e,f,p, K vs. 6) for 6=0.35-10 Plot with a minimum of 12 data points with good resolution around the maximum of K. Plots must show data points and lines connecting points. Note- if using excel, use scatter plot (not line plot) (b) Estimate the optimum fuel pitch (b) that corresponds to a maximum K-infinity. Assume the following material parameters: fast fission factor of e=1.05 for all cases fuel pin radius (a) of 0.4cm. lethargy constant for water {=0.92 thermal fission neutron yield u=2.42 n/fiss E [units] UO2 HO Pg/cm3 10.97 1 A g/mol 270 18 0.92 og barns 8.9 103 U-235 (thermal) 99 U-238 (thermal) 2.7 0.664 U-238 (resonance) 22 0 barns 587 (mermai) You may use any math software tool. Submit backup calculations: Provide scripts or data sheets as proof of work. Show one example calculation of each factor at one 6 value as a check on your solution. 0 barns