The exit flowing quality of the average bundle of BWR is $14\mathrm{.}6\%.$ It operates at $1000$ psia with a slip ratio of $1\mathrm{.}8.$ The bundle has $64$ fuel rods which have an outer diameter of $0\mathrm{.}493$ inches on a $5\mathrm{.}52$ inch square pitch. The mass flow rate into the bundle is $1\mathrm{.}43{10}^{5}lb\frac{m}{h}r.$ For the bundle, determine:

a$)$ The void fraction $(1$ point$)$

b$)$ The two phase density $(1$ point$)$

c$)$ The vapor phase velocity $(1$ point$)$

d$)$ The liquid phase velocity $(1$ point$)$

e$)$ The superficial liquid velocity $(1$ point$)$

f$)$ The superficial vapor velocity $(1$ point$)$

g$)$ The flow regime based upon the Hewitt$-$Roberts map $(1$ point$)$

At $1000$ psia:

${}_f=46\mathrm{.}297\frac{lbm}{f{t}^3}$

${}_g=2\mathrm{.}2419\frac{lbm}{f{t}^3}$