Mercury is added to a cylindrical container to a depth d and then the rest of the cylinder is filled with water. If the cylinder is 0.4 m tall and the absolute (or total) pressure at the bottom is 1.2 atmospheres, determine the depth of the mercury. (Assume the density of mercury to be 1.36 104 kg/m3, and the ambient atmospheric pressure to be 1.013e5 Pa)

0.10839 m

Explanation:

= Atmospheric pressure = 1 atm = 101325 Pa

= Total pressure at bottom of mecury = 1.2 atm

g = Acceleration due to gravity = 9.81 m/s²

h = d = Depth of mercury

= Density of mercury =

= Density of water =

Pressure at the bottom is of the cylinder is given by

Pressure at the bottom of mercury is

The depth of the mercury is 0.10839 m

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