Homework assignment #5 - Vacuum Systems
1) Calculate the conductance (in liters/second) of air at room temperature in the molecular flow regime through:
(a) a round tube of length 30 cm and diameter 5.0 cm;
(b) a round tube of length 30 cm and diameter 1.0 cm;
(c) 25 tubes of length 30 cm and diameter 1.0 cm connected in parallel;
(d) 25 tubes of length 30 cm and diameter 1.0 cm connected in series (i.e. one tube of total length 7.5 × 102 cm).
2) You wish to pump out a cubical stainless steel chamber of dimensions 10 cm × 10 cm × 10 cm. You have a pump with a pumping speed of 10 l/s. For each tubing arrangement (a)-(d) above, give the ultimate pressure obtained in the stainless steel chamber in steady state. Assume that stainless steel outgasses at 1.0 × 10-8 Torr-l/cm2s, and that the whole system is in the molecular flow regime. Ignore outgassing from the tubes.
Hint: Treat the pump as a pipe with conductance of 10 l/s connected to a perfect reservoir at zero pressure.