The fuel for a thermal reactor has the following composition by atom ratio: 2% uranium-235, 1 % plutonium-239 and 97% uranium-238. Calculate the value of η_T to be used for this fuel in the four factor formula. (Use the data given for problem [3.4].)
\eta_{T}=\frac{\nu\Sigma_{f}^{f}}{\Sigma_{a}^{f}}=\frac{0.02N{\nu}^{25}{\sigma}_{f}^{25}+0.01N{\nu}^{49}{\sigma}_{f}^{49}}{0.02N{\sigma}_{a}^{25}+0.01N{\sigma}_{a}^{49}+0.97N{\sigma}_{a}^{28}}
\eta_{T}=\frac{0.02\cdot2.43\cdot505+0.01\cdot2.90\cdot698}{0.02\cdot591+0.01\cdot973+0.97\cdot2.42}
\eta_{T}=\frac{24.54+20.24}{11.82+9.73+2.35}
\eta_{T}=1.87