Answer:
The height of oil column will be 6.298 meters.
Explanation:
The oil in the piezometer will rise until the pressure of the oil column formed balances the pressure at the bottom of tank.
Using the equation for pressure in a fluid at rest we have
[tex]P_{bottom}=P_{top}+\rho _{oil}\times gh\\\\P_{bottom}=P_{top}+G\times \rho _{water}\times gh[/tex]
Applying values we obtain value of pressure at bottom of tank as
[tex]P_{bottom}=136.3kPa+1000\times 0.83\times 9.81\times 2\\\\P_{bottom}=152.584kPa[/tex]
Now the pressure at the bottom of the oil column in the piezometer equals
[tex]P_{bottom}=P_{air}+\rho _{oil}\times gh\\\\P_{bottom}=101.3kPa+0.83\times 1000\times 9.81\times h[/tex]
Equating the 2 pressures and solving for 'h' we get
[tex]P_{bottom}=P_{air}+\rho _{oil}\times gh\\\\152.584kPa=101.3kPa+0.83\times 1000\times 9.81\times h\\\\\therefore h=\frac{152.584-101.3}{0.83\times 1000\times 9.81}\\\\h=6.29meters[/tex]
