Problem $05\mathrm{.}009$E $-$ Mass flow rate

A steady$-$flow compressor is used to compress helium from

$15$ psia and $70\backslash$deg F at the inlet to $200$ psia and $600\backslash$deg F at the

outlet. The outlet area and velocity are $0\mathrm{.}01$ft$^(2)$ and $100$

f$($t$)/($s$),$ respectively, and the inlet velocity is $46\mathrm{.}000$f$($t$)/($s$).$

Determine the mass flow rate and the inlet area. The gas

constant of helium is R$=2\mathrm{.}6809\backslash$psi a$*$f$($t$^(3))/($l$)$bm$*$R$.$

The mass flow rate is

lb$($m$)/($s$).($Round the final

answer to five decimal places.$)$

The inlet area is

ft$^(2).($Round the final answer to

three decimal places.$)$