Pressure Difference: U-Tube Manometer w/ 825kg/m^3 Fluid

[Melawrghk]

Homework Statement

A U-tube manometer contains a fluid with density of 825 kg/m^3. The difference in height of the two columns is 35cm. What is the pressure difference?

Homework Equations

None?

The Attempt at a Solution

I have no bloody clue. I'm sure I've done this before in AP Chem, but right now... I'm clueless. I think its something really simple, too.
Edit: Now that I think of it... the time variable in P=m/(A*t^2) doesn't change (there is no delta t), so density of the liquid multiplied by the difference in height squared would give me the difference in pressure. Am I even close to the truth?

 

[mgb_phys]

Pressure is force / area , or weight / area if you prefer.
You don't need the area of the tube since this cancels out, but if you prefer you can think of it as 1m^2.
Now just work out the weight of the extra 35cm * 1m^1 of fluid.
This is the weight pressing down on 1m^2 = pressure (watch the units)

 

[piercas]

Your attempt at a solution is on the right track. The equation you are referring to is the hydrostatic equation, which relates pressure, density, and height of a fluid. In this case, the pressure difference can be calculated by multiplying the density of the fluid (825 kg/m^3) by the difference in height (35 cm) and the acceleration due to gravity (9.8 m/s^2). This will give you the pressure difference in Pascals (Pa). If you need the pressure difference in a different unit, you can convert it using the appropriate conversion factor. It's important to remember to include units in your final answer to ensure the correct interpretation.