PHAK · PHAK Chapter 3

Atmosphere and Atmospheric Pressure

Master atmospheric pressure, ISA, pressure altitude, and density altitude from PHAK Chapter 3. Clear explanations, formulas, and oral exam prep for student pilots.

CFI's Whiteboard Explanation

Air has weight, and that weight pressing down is atmospheric pressure — about 29.92 "Hg at sea level on a standard day (15 °C). Pressure drops roughly 1 "Hg for every 1,000 ft you climb.

The FAA uses a fictional "average" atmosphere called ISA to calibrate instruments and performance charts. Real air rarely matches it.

What actually matters for performance is density. Hot, high, and humid air is thin air — your wings make less lift, your prop bites less, and your engine makes less power. That's why a Cessna that leaps off a cool morning runway feels like a truck on a 95 °F afternoon.

Handbook Reference
PHAK Ch 3

3.atmosphere-and-pressure. Atmosphere and Atmospheric Pressure

The atmosphere is the envelope of air that surrounds Earth and rests upon its surface. It is as much a part of Earth as the seas or the land, but air differs from land and water because it is a mixture of gases. By volume, dry air contains approximately 78 percent nitrogen, 21 percent oxygen, and about 1 percent other gases such as argon and carbon dioxide. Most of the oxygen, however, is contained below 35,000 feet. Water vapor is also present in varying amounts and has a significant effect on weather and aircraft performance.

Composition and Layers

Although the atmosphere extends well over 500 miles above Earth, almost all weather and routine flight occurs in the lowest layer, the troposphere. The troposphere extends from the surface to an average of 36,000 feet at mid-latitudes (higher over the equator, lower over the poles). Within this layer, temperature decreases with altitude at the standard rate of approximately 2 °C (3.5 °F) per 1,000 feet, and most of the moisture and turbulence are concentrated here. The boundary at the top of the troposphere is the tropopause, where temperature stops decreasing. Above it lies the stratosphere, which contains the ozone layer.

Atmospheric Pressure

Air has mass, and gravity pulls that mass toward Earth, producing weight. The weight of a column of air pressing on a unit area is atmospheric (barometric) pressure. Although the column extends to the top of the atmosphere, it is the dense air near the surface that accounts for most of the weight. Pressure is measured in several units:

  • inches of mercury ("Hg) — used in altimeter settings
  • millibars (mb) or hectopascals (hPa) — used in weather analysis
  • pounds per square inch (psi)

At sea level, the standard atmospheric pressure is 29.92 "Hg, 1013.2 mb, or 14.7 psi. Pressure decreases with altitude — rapidly at first, then more slowly. A useful rule of thumb is that pressure decreases by approximately 1 "Hg per 1,000 feet in the lower atmosphere.

The International Standard Atmosphere (ISA)

Because atmospheric properties vary continuously, the International Standard Atmosphere (ISA) provides a fixed reference used to calibrate instruments and publish performance data. ISA defines:

  • Sea-level pressure: 29.92 "Hg (1013.2 mb)
  • Sea-level temperature: 15 °C (59 °F)
  • Standard lapse rate: 2 °C per 1,000 ft until the tropopause
  • Standard tropopause: 36,000 ft at −56.5 °C

For any pressure altitude, the standard temperature can be estimated as:

Standard Temp (°C) = 15 − (2 × altitude in thousands of feet)

For example, at 5,000 ft pressure altitude, ISA temperature is 15 − 10 = 5 °C.

Pressure Altitude and Density Altitude

Two altitude concepts are derived directly from pressure:

  • Pressure altitude — the height above the standard datum plane (where pressure is 29.92 "Hg). Set the altimeter to 29.92 to read it directly. Pressure altitude is the value used in performance charts.
  • Density altitude — pressure altitude corrected for nonstandard temperature. It is the altitude the airplane "feels" it is flying at, and it determines aircraft performance.

A quick approximation: Density Altitude ≈ Pressure Altitude + (120 × (OAT − ISA Temp)).

Example: at a field with pressure altitude 3,000 ft and OAT 30 °C, ISA temperature is 9 °C, so density altitude ≈ 3,000 + 120 × (30 − 9) = 5,520 ft. The airplane will perform as if operating at 5,520 ft on a standard day.

Effects on Flight

Atmospheric pressure and density directly affect every aspect of airplane performance:

  • Lift and thrust decrease as air density decreases, because fewer air molecules pass over the wing and through the propeller and engine.
  • Takeoff and landing distances increase at higher density altitudes; true airspeed at a given indicated airspeed is greater, so groundspeed at liftoff and touchdown is greater.
  • Climb performance suffers because both the wing and the (normally aspirated) engine produce less.
  • Indicated airspeed (IAS) is based on dynamic pressure, so as altitude increases, true airspeed (TAS) becomes greater than IAS for the same dynamic pressure.

The three variables that decrease air density are high altitude, high temperature, and high humidity — the "three Hs." Water vapor is lighter than dry air, so humid air is less dense than dry air at the same pressure and temperature.

Pilot Application

Before every flight, pilots evaluate atmospheric conditions to predict performance. PHAK Chapter 3 emphasizes that an understanding of pressure, temperature, and density is the foundation for interpreting altimeter settings, computing takeoff and landing data, and recognizing when a runway that is adequate on a cool morning may be marginal on a hot, humid afternoon. Required preflight action under 14 CFR 91.103 includes a review of runway lengths and aircraft performance — both of which depend directly on the atmospheric values discussed here.

Oral Exam Questions a DPE Might Ask
Q1What are the standard sea-level values for pressure and temperature in the International Standard Atmosphere?
29.92 inches of mercury (1013.2 mb) and 15 °C (59 °F), with a standard lapse rate of 2 °C per 1,000 feet up to the tropopause at about 36,000 ft.
Q2What's the difference between pressure altitude and density altitude, and which one do you use for performance?
Pressure altitude is the height above the 29.92 "Hg standard datum plane; density altitude is pressure altitude corrected for nonstandard temperature. Performance charts are entered with pressure altitude and OAT, but it's density altitude that actually determines how the airplane will perform.
Q3How do high temperature and high humidity affect takeoff performance?
Both reduce air density, which raises density altitude. The wing produces less lift, a normally aspirated engine produces less power, and the propeller is less efficient — so takeoff roll lengthens, climb rate decreases, and true airspeed at liftoff is higher than on a standard day.
Related FAR References
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Atmosphere & Atmospheric Pressure: PHAK Chapter 3 | GroundScholar