Barometric Pressure, Barometers, and Boiling Point Concepts (Transcript Notes)

Barometric Pressure and the Barometer

  • Barometric pressure is atmospheric pressure measured with a barometer. At sea level, it is approximately 29.92 inHg29.92\ \text{inHg}, or 15 psi15\ \text{psi}. This pressure pushes on a pool of mercury, causing it to rise in an evacuated tube until its height (e.g., 29.92 in29.92\ \text{in}) balances the atmospheric pressure.

  • The hydrostatic relation is conceptually expressed as Patm=ρHgghP_{atm} = \rho_{Hg} g h, where ρHg\rho_{Hg} is mercury density, gg is gravitational acceleration, and hh is the mercury column height.

The Atmosphere as a Pressure Source: The Ocean of Air

  • Earth's atmosphere acts as a massive, weight-bearing "ocean of air," approximately 7 miles7\ \text{miles} (or 11 km11\ \text{km}) thick (troposphere). Being at sea level is like being at the bottom of this ocean, experiencing the full weight of the air (approximately 15 psi15\ \text{psi}).

  • This concept is analogous to diving deeper into water, where increased water weight above leads to higher pressure.

Pressure-Temperature Relationship and Boiling Points

  • There is a direct relationship: lowering atmospheric pressure lowers a liquid's boiling point. For example, water boils at 212F212^\circ F at sea level (29.92 inHg\approx 29.92\ \text{inHg}).

  • At an altitude of about 5,000 ft5{,}000\ \text{ft} (25 inHg\approx 25\ \text{inHg} pressure), water boils around 203F203^\circ F (e.g., Denver).

  • At very high altitudes, like 30,000 ft30{,}000\ \text{ft} (1 inHg\approx 1\ \text{inHg} pressure), water would boil at a significantly lower temperature.

  • This principle is crucial in HVAC and refrigeration, where manipulating pressure controls refrigerant boiling points.

Quick Reference: Key Numbers and Concepts

  • Sea-level atmospheric pressure: 29.92 inHg\approx 29.92\ \text{inHg} or 15 psi\approx 15\ \text{psi}.

  • Water boiling point at sea level: 212F212^\circ F (100C100^\circ C).

  • Pressure and boiling point are directly coupled: as pressure decreases, boiling point decreases for a given liquid.