A refinery uses a Venturi tube like the one shown in the figure to monitor the flow of gasoline (? = 7.00 102 kg/m3) through a hose. The inlet radius of the Venturi tube is 2.50 cm, the outlet radius is 1.40 cm, and the difference in pressure measured by the two gauges is P1 − P2 = 1.70 kPa. Determine the speed of the gas as it leaves the Venturi tube. Determine the volume flow rate of the gasoline. The image shows a fluid flowing through a pipe with a varying cross-section. The pipe has a wider section that narrows to a smaller diameter. Within the pipe, there are two pressure gauges labeled \( P_1 \) and \( P_2 \).- **Gauge \( P_1 \):** Located in the wider section of the pipe, indicating the fluid pressure at this point.- **Gauge \( P_2 \):** Positioned in the narrower section, measuring the fluid pressure as it passes through the constriction.**Flow Lines:** The flow lines (or streamlines) are depicted by black arrows, illustrating the direction of fluid movement. In the wider section, the lines are spaced farther apart, indicating lower velocity. As the pipe narrows, the lines come closer together, reflecting increased fluid velocity.This diagram demonstrates Bernoulli's principle, which states that in a streamline flow, the sum of the pressure energy, kinetic energy per unit volume, and potential energy per unit volume is constant. Thus, when the fluid velocity increases in the narrow section, the pressure decreases, explaining why \( P_2 \) is lower than \( P_1 \).

Name: A refinery uses a Venturi tube like the one shown in the figure to mon
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: A refinery uses a Venturi tube like the one shown in the figure to monitor the flow of gasoline (? = 7.00 102 kg/m3) through a hose. The inlet radius of the Venturi tube is 2.50 cm, the outlet radius is 1.40 cm, and the difference in pressure measur

density of fluid = ρ= 7 x 102 kg/m3 inlet radius = r1= 2.5 cm outlet radius = r2= 1.4 cm pressure difference = P1 − P2 = 1.70 kpa speed at outlet = V2= ?