The $100-$mm$-$diameter pipe is connected by a nozzle to a large reservoir of air that is at a temperature of $60C$ and absolute pressure of $500$ kPa $.$ The backpressure causes $M_1>1,$ and the flow is choked at the exit, section $2,$ when $L=5m.$ Assume a constant friction factor of $0\mathrm{.}0085$ throughout the pipe. Gas constant for air is $R=286\mathrm{.}9\frac{J}{kg*K}$ and its specific heat ratio is $k=1\mathrm{.}40.($Figure $1)$

Figure

$1$ of $1$

Part A

Determine the mass flow through the pipe.

Express your answer using three significant figures.

$m^{}=,k\frac{g}{s}$

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