A pipe system consists of a gate valve, wide-open (Kv = 0.2), in line A and a globe valve, wide-open (Kv = 10), in line B. Th e cross-sectional area of pipe A is half of the cross-sectional area of...

A pipe system consists of a gate valve, wide-open (Kv = 0.2), in line A and a globe valve, wide-open (Kv = 10), in line B. Th e cross-sectional area of pipe A is half of the cross-sectional area of pipe B. Th e head loss due to the junction, elbows, and pipe friction are negligible compared with the head loss through the valves. Find the ratio of the discharge in line B to that in line A.