Derive the Minimum Critical Volume for a finite Cylinder Reactor of fissionable material mixed with

graphite. The cylinder extrapolated dimensions are R and H$.$ Provide the detailed derivation and state all

assumptions.

$2\mathrm{.}1[5]$ Explain the implications of the material details $($fissionable material mixed with graphite$).$ What

approximation do you need to make?

$2\mathrm{.}2[10]$ In your solution, you must first state the problem including the appropriate form of the diffusion

equation$[5]$ and the corresponding boundary conditions $[5].$

$2\mathrm{.}3[10]$ and then provide the detailed solution for the Minimum Critical Volume for a finite Cylinder

Reactor. $($you need to find the geometrical buckling expression and related that to the material buckling

expression$)$