Pressure of Inert Gas in kN/m^2: 167.82 | Well-Type Manometer

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SUMMARY

The pressure of the inert gas measured using a well-type mercury manometer is calculated to be 167.82 kN/m². The manometer has a well area of 0.02 m² and a tube area of 40 mm², with a liquid density of 13,534 kg/m³. The calculation employs the formula p2 - p1 = density * g * h * (a/A + 1), where p1 is the atmospheric pressure of 1.013 x 10^5 N/m². The height of the measuring column is 500 mm, leading to the final pressure result.

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Homework: Misplaced Thread
A well-type mercury manometer has a well of 0.02m^2 area and a tube of 40mm^2 area. The liquid has a density of 13,534 kg/m^3.Given that the tube is open to the atmosphere and the well is connected to the inert gas manometer was to measure:
Calculate the pressure of the inert gas in kN/m^2 if the height of the measuring column is 500 mm.

The answer given is 167.82kN/m^2.
 
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I can't get the ans, need help with this question
 
You must show us your work. What have you tried so far?
 
anorlunda said:
You must show us your work. What have you tried so far?
So sorry is my first time asking a question here. The main problem here is, I don't really know how to start, totally don't understand the question. Need some guides
 
Well, what have you studied? Do you know the math of fluid dynamics? What course does this homework come from?
 
anorlunda said:
Well, what have you studied? Do you know the math of fluid dynamics? What course does this homework come from?
Currently I am in the marine engineering course. And we are not studying the chapter "measurement of process pressure" we just learned how to find the differential pressure, so there are a few equation u can use to find it.
 
Manage to solve it. So basically I use the formula p2-p1=density*g*h(a/A+1)
So for this question since it stated that its open to the atmosphere thus p1 will equal to the standard atmospheric pressure which is 1.013*10^5 N/M^2, which I didn't know it at first.
So this is how I did it :
P2- (1.013*10^5) =13534*9.81*0.5(40*10^6/0.02 +1)
P2=167817 (N/m^2) / 167.82 (kN/m^2)
 
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