Q:

Oil (A) and water (B) are poured into a container, forming two phases. The density of oil is 920 kg/m3 and that of water is 1000 kg/m3. Calculate the pressure difference between points A and B

Accepted Solution

A:
To calculate the pressure difference between points A and B in a container with oil and water, you can use the hydrostatic pressure formula: ΔP = ρ * g * Δh Where: ΔP is the pressure difference (in pascals, Pa). ρ is the density of the fluid. g is the acceleration due to gravity (approximately 9.81 m/s²). Δh is the difference in height (in meters) between the two points. In this case, you have two fluids: oil (A) and water (B), with different densities: Density of oil (ρA) = 920 kg/m³ Density of water (ρB) = 1000 kg/m³ The pressure difference between points A and B can be calculated as follows: ΔP = (ρB - ρA) * g * Δh Where Δh is the difference in height between the two points. To calculate Δh, we need to know the relative heights of the two fluids. Let's assume that point A is below point B, so Δh will be positive. If the height difference (Δh) is, for example, 1 meter, then you can calculate the pressure difference as: ΔP = (1000 kg/m³ - 920 kg/m³) * 9.81 m/s² * 1 m = 980.1 N/m² (or 980.1 Pa) So, the pressure difference between points A and B is 980.1 pascals, assuming a 1-meter difference in height between the two points.