The original version of the Brookhaven Research Reactor consisted of a cube

of graphite that

contained a regular array of natural uranium rods, each of which was located

in an air channel

through the graphite. When the reactor was operated at a thermal power level

of $22MW,$ the

average fuel temperature was approximately $300C$ and the maximum thermal

flux was $51012$

neutrons$/$cm$2-$sec$.$ The average values of $L{!}_{{?}_{?}}$

$"$ and $!$ were $325c{m}_2$ and $396cm2,$ respectively, and

$k$#$=1\mathrm{.}0735.($a$)$ Calculate the critical dimensions of the reactor; $($b$)$ What was

the total amount

of natural uranium in the reactor?