Question

A container is filled to a depth of 22.0 cm with water. On top of the water floats a 28.0-cm-thick layer of oil with specific gravity 0.500. What is the absolute pressure at the bottom of the container? 1 Pa

Answer 1

Answer:104.853 kPa

Step-by-step explanation:

Given

Depth of water
`h_2=22 cm`

on the top of water a layer of
`h_1=28 cm` oil layer is present

specific gravity of oil
`\rho _o=0.5\rho _w`

Assuming Atmospheric Pressure to be
`101.325 KPa`

We know Pressure due to Pressure Difference is given by

`\Delta P=\rho * g* h`

`\Delta P=\rho _0* g* h_1+\rho _w* g* h_2`

`\Delta P=0.5\rho _w* g* h_1+\rho _w* g* h_2`

`\Delta P=0.5* 1000 * 9.8* 0.28+1000* 9.8* 0.22`

`\Delta P=1.372* 10^3+2.156* 10^3`

`\Delta P=3.528 kPa`

`Absolute\ Pressure=Atmospheric\ Pressure+\Delta P=101.325+3.528`

`Absolute\ Pressure =101.325+3.528=104.853 kPa`