Problem $05\mathrm{.}047-$ Turbine flow

Air is expanded from $1000$ kPa and $600C$ at the inlet of a steady$-$flow turbine to $100$ kPa and $200C$ at the outlet. The inlet area and

velocity are $0\mathrm{.}1m^2$ and $30\frac{m}{s},$ respectively, and the outlet velocity is $9\mathrm{.}00\frac{m}{s}.$ Determine the mass flow rate and outlet area. The

gas constant of air is $R=0\mathrm{.}287$kPa$*\frac{m^3}{k}g*K.$

The mass flow rate is

$k\frac{g}{s}.$

The outlet area is

$m^2.$