Assume that you have an open-end manometer filled with ethyl...

Assume that you have an open-end manometer filled with ethyl alcohol (density $=0.7893 \mathrm{g} / \mathrm{mL}$ at $20^{\circ} \mathrm{C} )$ rather than mercury (density $=13.546 \mathrm{g} / \mathrm{mL}$ at $20^{\circ} \mathrm{C} )$ . What is the pressure in pascals if the level in the arm open to the atmosphere is 55.1 $\mathrm{cm}$ higher than the level in the arm connected to the gas sample and the atmospheric pressure reading is 752.3 $\mathrm{mm}$ Hg?

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Key Concepts

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at equilibrium due to the force of gravity. It is determined by the product of the fluid's density, the acceleration due to gravity, and the height of the fluid column above the point in question. This principle is essential in understanding how manometers measure pressure differences.

Fluid Density

Density is a measure of mass per unit volume and affects the magnitude of hydrostatic pressure. Different fluids have different densities, so when using a manometer with a fluid other than the standard (like ethyl alcohol instead of mercury), the conversion of pressure readings must account for the fluid's density.

Pressure Unit Conversion

Pressure unit conversion involves translating measurements from one system of units to another, such as converting mm Hg to pascals. Understanding and performing these conversions is crucial when comparing readings or performing calculations that involve different pressure units.

Manometer Function

A manometer is a device that measures pressure differences by comparing the heights of fluid columns. The operation of an open-end manometer, which is open to the atmosphere, relies on the principle that the difference in fluid height corresponds to the difference in pressure between the gas sample and atmospheric pressure.

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