Fluid pressure in a tank - manometer

In summary: The template is there to help you show us that you have made an effort to solve the problem yourself. Once we see that, we can give you more specific guidance and help you to understand the problem and how to solve it.Homework Help TemplateIn summary, the problem involves using an open-end manometer to determine the benzene level in a storage tank. The manometer will be attached at 400 cm from the top of the tank and a nitrogen blanket will be maintained over the tank contents. The question asks for the manometer readings at the extremes of the benzene level using either water or mercury as the manometer fluid. The relevant equation for this problem is P=ro*g*h + P(atm) and the
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Happy4ever
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Homework Statement



The level of benzene in a storage tank may fluctuate between 10 cm and 300 cm from the top of the tank. Since it is impossible to see inside the tank, an open-end manometer fluid is to be used to determine the benzene level.
One leg of manometer is attached to the tank at the position of 400 cm from the top. A nitrogen blanket at atmospheric pressure is maintained over the tank contents. (as in image)

What manometer readings R(cm) would be observed at the extremes of the benzene level with water/ mercury as the manometer fluid?
which manometer fluid would you use and why?


Homework Equations



P=ro*g*h + P(atm)

The Attempt at a Solution



the P at both legs of the manometer where the fluid is same level is same so
P(on open end of manometer) = P(atm) + ro (density of water as manometer fluid)*g*R

same for Pressure in the tank (at other end of manometer whith P of benzene in tank) =
P(atm) + ro(Benzene) *g* H (which is height of column of Benzene in tank )

and these two pressures are the same ,
by having H then we can find R . The problem is that I can't figure out how to find H, because we have the manometer 400 cm from top , but it doesn't say about the height of column of benzene on the manometer leg.

Thanks
 

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i need help on this question
 
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Angie Aaron said:
i need help on this question
Welcome to PF! :welcome:

Make sure to read the Terms and Rules. We don't typically answer homework questions straight away. We would ask you to show what work you've done on the problem and then try to guide your thinking in the right direction. Also of note, the "Open practice problem" section is a little weird in that it consists of years-old unanswered threads that serve as practice problems for whomever. I can try to ask the mentors to migrate this problem back to the homework section, but you'll probably need to show what work you've done so far on the problem.
 
  • #4
Angie Aaron said:
i need help on this question
Welcome to the PF. :smile:

Please re-post in the Homework Help, Introductory Physics Homework forum (not the Open Practice Problems forum), and fill out the Homework Help Template you are provided there. This includes sections on the Relevant Equations and your Attempt at a Solution.
 
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What is fluid pressure?

Fluid pressure refers to the force per unit area that a fluid exerts on its surroundings. It is caused by the random motion of particles in the fluid and can be measured using instruments such as a manometer.

How is fluid pressure in a tank measured?

Fluid pressure in a tank is typically measured using a manometer, which is a device that measures the difference in height between two columns of fluid. This difference in height can then be converted into a pressure measurement.

What is a manometer?

A manometer is a device used to measure fluid pressure. It consists of a U-shaped tube filled with a liquid, such as water or mercury, and a scale to measure the difference in height between the two sides of the tube. The difference in height can then be used to calculate the pressure of the fluid being measured.

How does fluid pressure affect the level of liquid in a tank?

The level of liquid in a tank is directly influenced by the pressure of the fluid. As the pressure increases, the level of liquid will also increase, and vice versa. This is because the pressure of the fluid is exerted equally in all directions, causing the liquid to rise or fall to achieve equilibrium.

What factors can affect fluid pressure in a tank?

The fluid pressure in a tank can be influenced by several factors, including the depth of the fluid, the density of the fluid, and the force applied to the surface of the fluid. Additionally, the shape and size of the tank, as well as the type of fluid being used, can also impact the overall fluid pressure.

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