Calculating Pressure Difference in Two Tanks

In summary, the conversation discusses two tanks connected by a differential manometer and how to calculate the pressure difference between chambers A and B. The tanks contain SAE Grade 30 oil and carbon tetrachloride with different densities. The solution involves using the equation P= Po + pgh and taking into account the difference in height between the two chambers. The final answer for the pressure difference is 2871.4 Pa. There is also a quick question about using a different method to solve for the pressure difference.
  • #1
etothey
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Homework Statement


Two tanks, one containing SAE Grade 30 oil (density of 890 kg/m3) and the other containing carbon tetrachloride (density of 1,590 kg/m3) , are connected through a differential manometer as shown in the figure. Calculate the pressure difference between chambers A and B.
Pressure_5.jpg: http://www.imageupload.org/thumb/thumb_8614.jpg



Homework Equations


760mm Hg = 760Torr. 760Torr = 1atm = 101300Pa.
P= Po + pgh


The Attempt at a Solution


The pressures are the same if there would have been no height difference.
Thus PA=890*1.1*9.8
and PB=1590*0.8*9.8
PB-Pa=2871.4 Pa.
This correct?
Quick question. why can't I use 0.3*300Torr to solve for pressure difference?
new to fluids.
 
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  • #2
anyone?
 

What is pressure difference?

Pressure difference is the difference in pressure between two points or areas. It is typically measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa).

How do I calculate pressure difference in two tanks?

To calculate pressure difference in two tanks, you will need to know the pressure inside each tank and the height difference between the two tanks. You can use the equation P2-P1 = ρgh, where P2 is the pressure at the bottom of the second tank, P1 is the pressure at the bottom of the first tank, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two tanks.

What factors can affect pressure difference?

The factors that can affect pressure difference include the density of the fluid, the height difference between the two tanks, the size and shape of the tanks, and the type of fluid. Additionally, changes in temperature and atmospheric pressure can also impact pressure difference.

Why is calculating pressure difference important?

Calculating pressure difference can help us understand and predict how fluids move and behave in different systems. It is also important in various applications, such as determining water flow rates in pipes, designing pressure systems in engineering projects, and monitoring changes in atmospheric pressure for weather forecasting.

Are there any limitations to calculating pressure difference in two tanks?

Yes, there are a few limitations to calculating pressure difference in two tanks. The equation assumes that the fluid is incompressible, the tanks are open to the atmosphere, and there is no friction or turbulence in the fluid. In reality, these assumptions may not always hold true, so the calculated pressure difference may not be entirely accurate.

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