Consider the following gas well drilled 2,000 meters vertically with a (essentially) horizontal leg of 200 meters length. The entire well is cased (closed) except for a 10 cm long cylindrical permeable plug at the end of the horizontal leg. The vertical section is 10 cm in diameter, the horizontal leg 10 cm in diameter. At the top of the well there is a valve and pressure meter. Next is a porous filter (10 cm in diameter and 10 cm in length) with a pressure meter on the filter output which feeds into a 10 cm diameter pipe line. Assume ideal gas behavior and constant identical temperatures. Given the following values: P1=190 atmospheres, P2=10 atmospheres, k=10mD, µ=.01cp a)What is the volume flow rate into the pipe line? b)What is the volume flow rate into the filter? c)What is the velocity of flow into the pipe line? d)What is the velocity of flow into the filter? e) If the density of the pipe line gas is .0064 gms/cm^3 what is the density of the gas at the filter input?