Calculating the pressure of a fluid

[Pranay]

Hello, This is my first post here. I really wanted to know how to calculate the pressure of a fluid with a column of the fluid on top i.e. water at the bottom of a lake or pond, for example. However I needed to do this with a change in pressure at the bottom. I know that Pressure=(density)(gravity)(height of the column), but what if the temperature changes in this system?

The question would thus be to figure out the final pressure..which I am having difficulty in finding. If anyone could provide me with an equation that would account for the change in the pressure, thus in the height of the column, please let me know ASAP.

Thanks

 

[easttiger2007]

Change in temperature will lead to change in density(rho) and depth(h). but rho=m/V=m/(S*h) or rho*h=m/S. If S is fixed, then change in temperature will not affect the pressure, if S is not fixed, then it depends on the shape of the container.

 

[charng]

for your question! Calculating the pressure of a fluid can be done using the equation you mentioned, P = ρgh, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid column. However, as you mentioned, changes in temperature can affect the density of the fluid and thus the pressure calculation. To account for this, you can use the ideal gas law, which relates pressure, volume, temperature, and number of molecules in a gas. In this case, the fluid can be considered a gas and the equation can be written as P1V1/T1 = P2V2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature. This equation can be rearranged to solve for P2, the final pressure. I hope this helps and please let me know if you have any further questions. Happy experimenting!