A pressure gage connected to a tank reads 50 psi at a location where the barometric reading is 2

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A pressure gage connected to a tank reads 50 psi at a...

A pressure gage connected to a tank reads $50 \mathrm{psi}$ at a location where the barometric reading is $29.1 \mathrm{~mm} \mathrm{Hg}$. Determine the absolute pressure in the tank. Take $\rho_{\mathrm{Hg}}=$ $848.4 \mathrm{lbm} / \mathrm{ft}^3$. Answer: $64.3 \mathrm{psia}$

Key Concepts

Gauge Pressure

Gauge pressure is the pressure of a system measured relative to the current ambient atmospheric pressure. It represents the difference between the absolute pressure and the atmospheric pressure, meaning a gauge reading does not account for the baseline atmospheric pressure acting on the system.

Absolute Pressure

Absolute pressure is the total pressure within a system measured relative to absolute vacuum. It is obtained by adding the gauge pressure and the atmospheric pressure, giving a complete measure of the pressure in the system without reference to the surrounding air pressure.

Barometric Pressure

Barometric pressure, also known as atmospheric pressure, is the pressure exerted by the weight of the atmosphere above a given point. It is often measured using a mercury barometer where the height of the mercury column, which is affected by the density of mercury and gravitational acceleration, represents the pressure in physical units.

Hydrostatic Pressure and Unit Conversion

Hydrostatic pressure is calculated using the relationship ?P = ?gh, where ? is the fluid density, g is the acceleration due to gravity, and h is the height of the fluid column. This principle is essential for converting measurements from one unit system to another (for example, from a mercury column height in mm Hg to psi), allowing accurate calculation of pressures across different measurement standards.

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