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What is the depth x of the oil?

  • Thread starter looi76
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  • #1
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Homework Statement


The bore hole of depth [tex]2000m[/tex] contains both oil and water as shown. The pressure at the bottom is [tex]17.5MPa[/tex]. The density of the oil is [tex]830kgm^-3[/tex] and the density of the water is [tex]1000kgm^-3[/tex].
http://img384.imageshack.us/img384/6944/10062008fj0.png [Broken]
What is the depth x of the oil?

Homework Equations


Pressure = Height x Density x Gravity

The Attempt at a Solution



[tex]17.5 \times 10^6 = x \times 1000 \times 9.81[/tex]

[tex]x = \frac{17.5 \times 10^6}{1000 \times 9.81}[/tex]

[tex]x = 1789.893986m[/tex]

Where did I go wrong?
 
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Answers and Replies

  • #2
761
13
Both oil and water have a contribution in the pressure:

[tex] p = \rho g \Delta h [/tex]

So we get:

[tex]17.5 \cdot 10^6 = 830 \cdot g \cdot x + 1000 \cdot g \cdot(2000-x) [/tex]
 

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