A siphon made of uniform tubing is to be used to transfer freshwater from an open…

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A siphon made of uniform tubing is to be used to transfer freshwater from an open reservoir to a container located at a lower elevation. Atmospheric pressure is

1.0\times10^{5}\,\text{Pa}

, and the density of freshwater is

1.0\times10^{3}\,\text{kg}\,\text{m}^{-3}

. To avoid cavitation, the absolute pressure anywhere inside the tube must remain non-negative (that is, greater than or equal to a perfect vacuum). The water surface in the reservoir is to be located a vertical distance

H

below the highest point of the siphon. (a) Determine the maximum value of

H

that will still allow the siphon to operate without the pressure in the tube dropping below zero absolute pressure. (b) The vapor pressure of water at room temperature is approximately

2.0\times10^{3}\,\text{Pa}

. Re-evaluate the maximum allowable value of

H

if the absolute pressure in the tube must remain above this vapor pressure to prevent boiling.

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