# Simple Differential Manometer Question

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Q)Pipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravityPipe A contains a liquid of specific gravity

Last edited by aoifaosf24; 1 month ago

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#2

I don't follow your diagram. Assuming the pipes are connected and we have a manometer, I only see one liquid there, not two. The two liquids should be water and an unnamed liquid. Make an assumption that the liquids are immiscible. Then label the diagram properly, making three points, the interface between the liquids, and the other two points where atmospheric pressure is applied at the surface of each liquid. It also is not clear to me where or how you got the heights.

Last edited by 0le; 1 month ago

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#3

(Original post by

Q)Pipe A contains a liquid of specific gravity 7.8, pipe B contains water (density = 1000kgm^-3) and the specific gravity of mercury is 13.6.

Calculate the difference between the pressures and conclude whether pressure A or pressure B is greater and if you could have come to this conclusion directly by the level of the mercury.

(Ive attached my working and sketch of the diagram provided.)

Can someone help me with where i've gone wrong. Ive tried calculating it out but I seem to end up with the pressure B being greater than pressure A whereas I know from analysis of the diagram and the mercury level that the pressure A should be greater.

https://pasteboard.co/JBzRLLx.jpg

**aoifaosf24**)Q)Pipe A contains a liquid of specific gravity 7.8, pipe B contains water (density = 1000kgm^-3) and the specific gravity of mercury is 13.6.

Calculate the difference between the pressures and conclude whether pressure A or pressure B is greater and if you could have come to this conclusion directly by the level of the mercury.

(Ive attached my working and sketch of the diagram provided.)

Can someone help me with where i've gone wrong. Ive tried calculating it out but I seem to end up with the pressure B being greater than pressure A whereas I know from analysis of the diagram and the mercury level that the pressure A should be greater.

https://pasteboard.co/JBzRLLx.jpg

Based on your “diagram that you have drawn”, how do you reach the conclusion of “I know from analysis of the diagram and the mercury level that the pressure A should be greater”.

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(Original post by

I don't follow your diagram. Assuming the pipes are connected and we have a manometer, I only see one liquid there, not two. The two liquids should be water and an unnamed liquid. Make an assumption that the liquids are immiscible. Then label the diagram properly, making three points, the interface between the liquids, and the other two points where atmospheric pressure is applied at the surface of each liquid. It also is not clear to me where or how you got the heights.

**0le**)I don't follow your diagram. Assuming the pipes are connected and we have a manometer, I only see one liquid there, not two. The two liquids should be water and an unnamed liquid. Make an assumption that the liquids are immiscible. Then label the diagram properly, making three points, the interface between the liquids, and the other two points where atmospheric pressure is applied at the surface of each liquid. It also is not clear to me where or how you got the heights.

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(Original post by

Maybe you want to upload the actual given diagram.

Based on your “diagram that you have drawn”, how do you reach the conclusion of “I know from analysis of the diagram and the mercury level that the pressure A should be greater”.

**Eimmanuel**)Maybe you want to upload the actual given diagram.

Based on your “diagram that you have drawn”, how do you reach the conclusion of “I know from analysis of the diagram and the mercury level that the pressure A should be greater”.

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#6

(Original post by

Sorry but I lost the diagram as the question was from a while ago, I was just doing revision from questions I didnt fully understand earlier on in the semester. But I think my analysis was wrong, it was that I thought that as the height of the left fluid, ρA, was greater than the height of the right fluid, ρB, therefore Pa > Pb (just like a standard U-tube manometer) but I think the change in height is due to the density ρA>ρB and not because of the pressure. Therefore you cant see whether Pa or Pb is greater just by looking at the manometer in this instance. So Pb can be > Pa

**aoifaosf24**)Sorry but I lost the diagram as the question was from a while ago, I was just doing revision from questions I didnt fully understand earlier on in the semester. But I think my analysis was wrong, it was that I thought that as the height of the left fluid, ρA, was greater than the height of the right fluid, ρB, therefore Pa > Pb (just like a standard U-tube manometer) but I think the change in height is due to the density ρA>ρB and not because of the pressure. Therefore you cant see whether Pa or Pb is greater just by looking at the manometer in this instance. So Pb can be > Pa

https://www.youtube.com/watch?v=6MOXwxbLvls

A lot of people has commented that the answer is incorrect. Try and see whether you can get the correct answer.

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(Original post by

A video that may help your revision.

https://www.youtube.com/watch?v=6MOXwxbLvls

A lot of people has commented that the answer is incorrect. Try and see whether you can get the correct answer.

**Eimmanuel**)A video that may help your revision.

https://www.youtube.com/watch?v=6MOXwxbLvls

A lot of people has commented that the answer is incorrect. Try and see whether you can get the correct answer.

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#8

(Original post by

I've already seen that video, and at 6mins40 in he says "according to the analysis Pb is greater than Pb" but that analysis is done because of the difference in heights of the 2 fluids. So he goes to do Pb-Pa and it gives him a positive answer. Whereas in my question if I go about the same logic I get a negative answer hence indicating that the opposite of his analysis is correct for my situation.

**aoifaosf24**)I've already seen that video, and at 6mins40 in he says "according to the analysis Pb is greater than Pb" but that analysis is done because of the difference in heights of the 2 fluids. So he goes to do Pb-Pa and it gives him a positive answer. Whereas in my question if I go about the same logic I get a negative answer hence indicating that the opposite of his analysis is correct for my situation.

I was asking you if you can find the numerical answer. I believe you can find based your explanation.

No need to show me.

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