A mercury manometer consists of an inverted tube of mercury as shown to the righ

Question

A mercury manometer consists of an inverted tube of mercury as shown to the right. The top end is closed and the void at the top is essentially a vacuum. The bottom end is open and is in an open container of mercury. The specific gravity of mercury is 13.6.

a. What is the density of mercury in g/cm3?

b. What is the density of mercury in SI units?

c. What is the total pressure at point A?

d. What is the total pressure at point B?

e. What is the total pressure at point C?

f. What is the total pressure at point D?

g. Write an expression for the pressure at D (PD) in terms of the pressure at point A (PA), acceleration due to gravity g, height h and density of mercury r.

h. What is the height of the column of mercury in the tube ?  (ANS: 76 cm)

Explanation / Answer

a)

specific gravity of mercury = density of mercury / density of water

13.6 = density of mercury / 1

density of mercury = 13.6 g/cm3

b)

density of mercury = 13.6 g/cm3 = 13.6 (g/cm3) (0.001 kg/10-6 m3) = 13600 kg/m3

c)

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