$8\mathrm{.}7$ A small P$\text{'}$ll plant operates no a prever of $185$ Mie. The core. which is naproxi$-$mntely. $70\mathrm{.}8$ in$.$ in diameter and $91\mathrm{.}9$ in$.$ high, consist of a quore lattire of $23\mathrm{.}1\mathrm{.}92$ ruel sulient thickness $0\mathrm{.}021$ in$.$ and inner dinmeter $0\mathrm{.}298$ in$.$ on a $0\mathrm{.}822.$in$.$ pitch.

The cubes are hilled with $3\mathrm{.}10/$ enriched UO$,.$ The cure is couled by water which enters al the bottom at $1969$F and posses through the core at a rate of $71$k $10$ lis hr at $2015$ psin. Compute $($a$)$ the avernge temperature of the unter leaving the corr;

$($b$)$ the overage power density in lilVAiter; $($c$)$ tie mnximum hent presuction rat.

assuming the rector core is barc.