Oil ($\rho$= 925 kg/m³) is flowing through a pipeline at a constant speed when it encounters a vertical bend in the pipe raising it 4.0 m. The cross sectional area of the pipe does not change. What is the difference in pressure (P_B- P_A) in the portions of the pipe before and after the rise? A)+2.4 × 10⁴ Pa B)-3.6 × 10⁴ Pa C)+5.1 × 10⁵ Pa D)-7.2 × 10⁵ Pa E)-1.8 × 10³ Pa

Question

Quizplus · Accepted Answer

The pressure difference is given by the equation ∆P = ρgh, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the height difference. 
Therefore, ∆P = ρgh = (925 kg/m^3)(9.81 m/s^2)(4.0 m) = -3.6 × 10^4 Pa (Note: the negative sign indicates that the pressure is lower in the higher portion of the pipe) 
Thus, the correct answer is B.

Oil ρ\rhoρ = 925 Kg/m3) Is Flowing Through a Pipeline at a Pipeline

Oil $\rho$ = 925 Kg/m³) Is Flowing Through a Pipeline at a Pipeline