A barometer to measure absolute pressure shows a mercury...

A barometer to measure absolute pressure shows a mercury column height of $725 \mathrm{~mm}$. The temperature is such that the density of the mercury is $13550 \mathrm{~kg} / \mathrm{m}^{3}$. Find the ambient pressure.

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Key Concepts

Density

Density is defined as mass per unit volume and is a fundamental property of substances affecting their behavior under gravitational forces. In the context of pressure measurement, the density of mercury affects how tall the mercury column must be to balance a certain atmospheric pressure.

Unit Conversion

Unit conversion is essential in ensuring consistency across physical calculations. In pressure measurements, converting the measurement of the mercury column height from millimeters to meters is necessary to correctly apply the hydrostatic pressure formula using SI units.

Hydrostatic Pressure Equation

The hydrostatic pressure equation, given by P = ?gh, relates the pressure exerted by a static fluid to its density, gravitational acceleration, and the height of the fluid column. This equation is central to converting the height of the mercury column in a barometer to an absolute pressure measurement.

Barometer

A barometer is an instrument designed to measure atmospheric pressure. A mercury barometer specifically uses a column of mercury, where the height of the mercury reflects the ambient atmospheric pressure, providing critical data in meteorology and other applications.

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