Exam Review 8.6, ER 7 The lander is equipped with sensors to detect methane that

Question

Exam Review 8.6, ER 7 The lander is equipped with sensors to detect methane that may indicate possible microbial activity buried deep underground. For comparison purposes, assume a small tank of liquid methane is stored onboard. Before take-off, a hydrostatic pressure probe is placed in the tank to monitor the methane during transport. The specific gravity of liquid methane is 0.422. The surface pressure in the tank is kept at 1.2 atmospheres latmlDuring initial testing on Earth the hydrostatic pressure probe reads 18.5 millimeters of mercury (mm Hg). How deep in the tank is the probe submerged in units of feet [ft]? Thinking Like an Engineer Stephan, Bowman, Park in Orland An Active Learning Approach Copyright 2016 Pearson Prentice Hall, ine An Eier

Explanation / Answer

Density of liquid methane will be ? ?= specific gravity* gravity of water = 0.422*103 = 422 kg/m3

Hydrostatic pressure will be = ??Hg?*g*h = 13.6*103*9.8*18.5*10-3? = 2465.68 Pa

? Also Hydrostatic pressure will be? = atmospheric pressure + ??Methane*g*h1? ( where h1? is depth of prob submerged)

   2465.68 Pa = (1.2*101325?) + (422?*9.8*h1?)

h1? = 28.8 m = 94.5 ft

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