A chemical operator is draining a tank originally full of crude oil. The tank measures 0.91 m (3 ft) in diameter. The operator opens a valve with a 3.18 cm (1–1/4in.) diameter in the tank base. He records the following data as the level falls from the initial height to 1.83 m (6 ft):

a. The operator assumes that the flow rate is steady and puts a straight line through these data. When would he expect the tank to empty?
b. You believe that q = kh^1/2. Using these data, find k and estimate the time for the tank to empty. How different is your estimated time from that in part a?
c. Assume for the result in part b that k = CA₀√g.What value do you compute for C?

Transcribed Image Text:

(m) 3.05 2.74 2.29 2.13 1.83 Height (feet) 10 9 7.5 7 6 Time (s) 0 54.0 142.9 172.5 240.2