   Chapter 9, Problem 13P

Chapter
Section
Textbook Problem

A container is filled to a depth of 20.0 cm with water. On top of the water floats a 30.0-cm-thick layer of oil with specific gravity 0.700. What is the absolute pressure at the bottom of the container?

To determine
The absolute pressure at the bottom of the container.

Explanation
The absolute pressure at the interface between oil and water is P1=P0+ρoilghoil which is due to the floating of oil. Now the absolute pressure at the bottom of the container is P2=P1+ρwaterghwater=P0+ρoilghoil+ρwaterghwater .

Given info: The atmospheric pressure is 1.013×105Pa , density of water is 103kg/m3 , density of oil is 700kg/m3 , depth of the layer of floating oil is 0.300m , depth of the water is 0.200m , and acceleration due to gravity is 9.80m/s2 .

The formula for the absolute pressure at the bottom of the container is,

P2=P0+(ρoilhoil+ρwaterhwater)g

• P0 is atmospheric pressure.
• ρoil is density of the oil.
• ρwater is density of water.
• hoil is oil depth.
• hwater is water depth.
• g is acceleration due to gravity

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