$(25$ points$)$ A process pump has a pumping speed $($S$)$ of $1000\frac{L}{m}in,$ independent of the inlet pressure. This pump is connected to a process chamber through $10$ m of tubing that is $2$ cm in diameter. If the desired chamber pressure is $2$ torr, calculate the maximum gas throughput that can be introduced into the chamber in standard liters per minute.