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

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

$\Delta P=\rho \times g\times h$

$\Delta P=\rho _0\times g\times h_1+\rho _w\times g\times h_2$

$\Delta P=0.5\rho _w\times g\times h_1+\rho _w\times g\times h_2$

$\Delta P=0.5\times 1000 \times 9.8\times 0.28+1000\times 9.8\times 0.22$

$\Delta P=1.372\times 10^3+2.156\times 10^3$

$\Delta P=3.528 kPa$

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

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