$"1)$ a$)$ Nitrogen $($N$2)$ from a tank flows at a rate of $6$ lbm$/$min at $350$F$.$ It then enters a heater where it is heated and leaves the heater as a gas at $150$F and $600$ psia. Calculate the volumetric flow rate in ft$3/$min$.$ Molecular weight of N$2$ is $28$ g$/$mol or $28$ lbm$/$ lbmol. Assume the ideal gas law is applicable. $(2)$

b$)$ The density of a fluid is given by the empirical equation

density$=70\mathrm{.}5$exp$(8\mathrm{.}27$x$10^-5$p$)$PG$14$

equation $(1)$

where

is density $($lbm$/$ft$3)$ and

is pressure $($lbf$/$in$2).$

$($a$)$ What are the units of $70\mathrm{.}5$ and $8\mathrm{.}27$ x $10-5?$

$($b$)$ Calculate the density in g$/$cm$3$ for a pressure of $9$ x $106$ N$/$m$2?"$