well control operation is underway. Well depth is 3000 ft and well diameter is 9.875 in. The drill string is composed of 2500 ft of drillpipe with 5.5 in. OD and 4.670 in. ID. Drill collars have an 8 in. OD and 2.75 in. ID. The 500 hp triplex pump used in this operation has a 15 in. stroke length, 6 in. liner diameter and 2.5 in. rod and a volumetric efficiency of 85%. Determine: a. Pump factor in units of bbl/stroke b. Number of strokes required to circulate mud from surface to the bit c. Number of strokes required to circulate mud from bottom of the hole to surface d. If the discharge pressure has to be 2500 pig at the maximum horsepower, compute the maximum allowable pump speed (strokes/min). Assume inlet pressure to be atmospheric