Pressure in a Rectangular Tank

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SUMMARY

The discussion focuses on calculating the gauge pressure in a rectangular tank containing gasoline. The tank dimensions are 2.0 m by 2.0 m by 3.5 m, filled to a depth of 2.5 m with gasoline having a density of 0.68E3 kg/m³. The correct formula for gauge pressure is P = Pₐ + ρgh, where Pₐ is atmospheric pressure (1.013E5 Pa), ρ is the density of the fluid, g is the acceleration due to gravity (9.81 m/s²), and h is the depth below the surface of the fluid. The depth used in the calculation for gauge pressure should be 2.5 m, not the total height of the tank.

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uno
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1. A rectangular tank 2.0 m by 2.0 m by 3.5 m high contains gasoline, with a density of 0.68E3 kg/m3, to a depth of 2.5 m. What is the gauge pressure anywhere 1.2 m below the surface of the gasoline?



2. P=Ps + Pl Pl=density (g) (h)



3. I'm sure this is an easy problem, but I don't know where I am going wrong. I set Ps to atmospheric pressure at 1.013 E5 and Pl = .68 E3 (9.81) (2.5). I added Ps and Pl together to get 1.18 E5, but this is incorrect. Please help out if you can. Thanks.
 
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I found a new formula. P = Pa + Pg. My question is: when I use P= density x gravity x height, what value do I enter for the height? 3.5 or 2.5? Thanks
 
uno said:
My question is: when I use P= density x gravity x height, what value do I enter for the height? 3.5 or 2.5?
Neither. You'd use the depth below the surface of the fluid. (That formula gives the pressure due to the weight of the fluid, which in this case is the gauge pressure.)
 

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