Suppose that in a closed-end manometer the mercury in the...

Suppose that in a closed-end manometer the mercury in the closed arm was $12.5 \mathrm{~cm}$ higher than the mercury in the arm connected to a vessel containing a gas. What is the pressure of the gas expressed in torr?

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Key Concepts

Hydrostatic Pressure

The hydrostatic pressure concept is based on the idea that the pressure exerted by a fluid at rest increases with depth due to the weight of the fluid above. This pressure difference is calculated using the equation P = ?gh, where ? is the density of the fluid, g is the gravitational acceleration, and h is the height difference, which helps in understanding how the height of the mercury column relates to pressure.

Units Conversion

Accurate conversion between different pressure units is crucial in pressure measurement. For mercury, a key point is that one millimeter of mercury (mm Hg) is equivalent to one torr. Therefore, converting a column height given in centimeters to torr involves recognizing that one centimeter equals 10 mm of mercury, allowing one to quickly compute the pressure in torr by multiplying the height value by 10.

Manometry

Manometry involves the measurement of pressure using a liquid column in a U-tube. This device relies on the principle that a difference in fluid column height relates directly to a difference in pressure between two points, providing a visual and measurable means to determine gas or fluid pressures.

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