Compressed gas tanks often have gage pressures of at least 1 MPa. Suppose you wished to use a manometer to measure the gage pressure of a compressed air tank whose pressure was at least 1 MPa. The manometer would be set up between the tank and the atmosphere. What is the minimum length of tube needed for such a measurement if the liquid in the manometer is (a) mercury (? = 13,500 kg/m3), (b) water (? = 1,000 kg/m3), and (c) engine oil (? = 880 kg/m3)? Do these seem to be practical devices for such a measurement?
Given: Pg = 1 MPa = 1,000,000 Pa
Assume: g = 9.81 m/s2
What will be an ideal response?
(a) Mercury: p = 13,500 kg/m3
L = Pg / pg = (1,000,000 N/m2)/[(13,500 kg/m3)(9.81 m/s2) = 7.55 m
(b) Water: p = 1,000 kg/m3
L = Pg / pg = 102 m
(c) Engine Oil: p = 880 kg/m3
L = Pg / pg = 116 m
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