Absolute pressure at the bottom of a container

AI Thread Summary
To calculate the absolute pressure at the bottom of a container filled with water and oil, the correct formula is P = ρgh + P(atmospheric). The user initially attempted to calculate the pressure using an incorrect depth by subtracting the water depth from the oil thickness. It was pointed out that the user also failed to convert centimeters to meters, which is essential for accurate calculations. The correct approach requires adding the pressures from both the water and oil layers without any subtraction. Accurate calculations are crucial to avoid discrepancies in results.
kimlu
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Homework Statement



A container is filled to a depth of 20.0 cm with water. On top of the water floats a 29.0-cm-thick layer of oil with specific gravity 0.800. What is the absolute pressure at the bottom of the container?
(Answer in Pa)

Homework Equations



P= ρgh+ P(atmospheric)

The Attempt at a Solution



(800)(9.81)(29-20)+101.3x10^3= 171932

Webassign says "Your response differs from the correct answer by more than 10%. Double check your calculations."

Did I substitute something wrong?
 
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Hi kimlu...

You have to calculate pressure at the bottom of the container ,not between the interface of water and oil .

You also seem to have forgotton to convert 'cm' to 'm' .
 
Last edited:
kimlu said:

Homework Statement



A container is filled to a depth of 20.0 cm with water. On top of the water floats a 29.0-cm-thick layer of oil with specific gravity 0.800. What is the absolute pressure at the bottom of the container?
(Answer in Pa)

Homework Equations



P= ρgh+ P(atmospheric)

The Attempt at a Solution



(800)(9.81)(29-20)+101.3x10^3= 171932

Webassign says "Your response differs from the correct answer by more than 10%. Double check your calculations."

Did I substitute something wrong?

Yes.

Why did you subtract the thickness of water from the thickness of oil?

ehild
 
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