Solving for Pressure Rise in Manometer with Oil & Mercury

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Homework Help Overview

The problem involves a manometer using oil and mercury to measure pressure changes in an air tank. The original poster seeks to determine the fluid level rise in the manometer when the pressure in the tank increases by a specified amount.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss equating pressures of oil and mercury columns to find the height of the oil column that balances the pressure increase. There are attempts to set up equations based on fluid density and gravity.

Discussion Status

Some participants have provided calculations and approximations, but there is uncertainty regarding the correctness of the results. The original poster expresses confusion about their attempts, and others suggest that the expected answer should be around a certain value based on density comparisons.

Contextual Notes

Participants are working under the assumption that the manometer's fluid density and the pressure increase are the only relevant factors, and there is a focus on ensuring the calculations align with the physical principles involved.

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Homework Statement



A manometer using oil (density 0.91 g/cm3) as a fluid is connected to an air tank. Suddenly the pressure in the tank increases by 0.72 cm of Hg. (a) By how much does the fluid level rise in the side of the manometer that is open to the atmosphere? (b) What would your answer be if the manometer used mercury instead?

Homework Equations



P = rho*gravity*height

The Attempt at a Solution


I have looked at several options of solving this problem. None of them make any sense to me. Please help. Thankyou!
 
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The question is asking how high does a column of oil have to be to weigh the same as a 0.72cm column of mercury
 
ok.
so i set the to two pressures equal to each other
so i got P(oil)=P(mercury)
(.91)(980)h = (980)(.72)(13.6)
solved for h, and provided my answer in cm but its not right :\
 
If I'm reaing the question in the same way as you that should be correct (you can ignore 'g' it cancels)
The oil is roughly 15x less dense than mercury - so you should have an answer around 10cm (roughly)
 
yea i got 10.76. Its not right...
 

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