The absolute pressure in a tank is 115 kPa and the local ambient absolute pressure is 97 kPa. If

step 1 So let's start with the given data. We have the pressure of the tank that is equal to 115 kilo -

The absolute pressure in a tank is 115 kPa and the local...

The absolute pressure in a tank is $115 \mathrm{kPa}$ and the local ambient absolute pressure is $97 \mathrm{kPa}$. If a U-tube with mercury (density $=13550 \mathrm{~kg} / \mathrm{m}^{3}$ ) is attached to the tank to measure the gauge pressure, what column height difference will it show?

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Key Concepts

Absolute and Gauge Pressure

Absolute pressure is the total pressure measured relative to a perfect vacuum, whereas gauge pressure is the pressure relative to the ambient atmospheric pressure. In various applications, it is the gauge pressure that is of interest because it represents the effective pressure difference acting on a system compared to its surroundings.

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at rest due to the force of gravity. It is described by the equation ?P = ?gh, where ?P is the pressure difference, ? is the density of the fluid, g is the acceleration due to gravity, and h is the height difference of the fluid column. This principle is fundamental when using manometers to measure pressure differences.

Manometer Principle

A U-tube manometer operates on the principle of hydrostatic equilibrium. The difference in the level of a fluid (such as mercury) in the two arms of the U-tube directly corresponds to the gauge pressure difference between the system and the reference (ambient) pressure. By setting the hydrostatic equation equal to the measured pressure difference, one can determine the height difference that the fluid will exhibit.

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