PREDICT FIRST
Air at the surface is 24 °C with a dew point of 14 °C. A parcel of it is lifted. Its temperature falls 3 °C for every 1,000 ft, and its dew point falls 0.5 °C for every 1,000 ft. How high is it when it reaches its dew point and cloud forms?
Lifted air cools
Rising air moves into lower pressure. It expands, and the work of expanding cools it.
As a bubble or parcel of air ascends (rises), it moves into an area of lower pressure (pressure decreases with height). As this occurs, the parcel expands. This requires energy (or work), which takes heat away from the parcel, so the air cools as it rises (see Figure 12-1).
Until it is saturated, the parcel cools at a steady rate.
The lapse rate of a rising unsaturated parcel (air with relative humidity less than 100 percent) is approximately 3°C per 1,000 ft (9.8°C per km). This is called the dry adiabatic lapse rate.
Its dew point falls too, but much more slowly.
Concurrently, the dewpoint decreases approximately 0.5°C per 1,000 ft (1.8°C per km). The parcel’s temperature-dewpoint spread decreases, while its relative humidity increases.
The cloud base
The temperature falls faster than the dew point, so the two close up. For every 1,000 ft the spread closes by 3 − 0.5 = 2.5 °C. Divide the spread at the surface by 2.5 and you have the height, in thousands of feet, where the two meet. The handbook's own example has a spread of 5 °C, and 5 ÷ 2.5 = 2:
In Figure 12-2, at the surface the air parcel has a temperature of 18°C and a dewpoint of 13°C, indicating that it is unsaturated. As the parcel ascends, its temperature decreases at the dry adiabatic lapse rate of 3°C per 1,000 ft, while the dewpoint decreases at 0.5°C per 1,000 ft. The temperature-dewpoint spread decreases while relative humidity increases until the parcel achieves saturation at its LCL of 2,000 ft.
As moist, unstable air rises, clouds often form at the altitude where temperature and dew point reach the same value.
Above the cloud base
Once it is saturated, the parcel still cools as it rises, but more slowly. Water vapour condensing into cloud gives up heat.
Further lifting of the saturated parcel results in condensation, cloud formation, and latent heat release. Because the heat added during condensation offsets some of the cooling due to expansion, the parcel now cools at the moist adiabatic lapse rate, which varies between approximately 1.2°C per 1,000 ft (4°C per km) for very warm saturated parcels to 3°C per 1,000 ft (9.8°C per km) for very cold saturated parcels.
For simplicity, examples shown in this handbook use a moist adiabatic lapse rate of 2°C per 1,000 ft.
This lesson uses the same 2 °C per 1,000 ft above the cloud base.
Coming back down is different. A sinking parcel soon stops being saturated, and then it warms at the dry rate.
A descending saturated air parcel quickly becomes unsaturated (see Figure 12-3). Its temperature increases at 3°C per 1,000 ft, while its dewpoint increases at 0.5°C per 1,000 ft (see Table 12-1).
PREDICT FIRST
The air around a parcel is 4 °C cooler for every 1,000 ft of height. The parcel starts at the surface at the same temperature as the air around it. You lift it 1,000 ft, still below its cloud base, and let go. What does the parcel do?
Warmer rises, colder sinks
The test is always the same. Lift a parcel, then compare it with the air around it at the same height.
The parcel and the surrounding environmental air temperatures are then compared. If the lifted parcel is colder than the surrounding air, it will be denser (heavier) and sink back to its original level. In this case, the parcel is stable because it resists upward displacement.
If the lifted parcel is the same temperature as the surrounding air, it will be the same density and remain at the same level. In this case, the parcel is neutrally stable.
The air around the parcel has a lapse rate of its own, separate from the parcel's. The standard atmosphere uses 2 °C per 1,000 ft, but real air can cool faster or slower with height, stay the same, or even warm.
A standard temperature lapse rate is one in which the temperature decreases at the rate of approximately 3.5 °F or 2 °C per thousand feet up to 36,000 feet.
But since this is an average, the exact value seldom exists. In fact, temperature in the troposphere sometimes remains constant or even increases with height.
Compare that lapse rate with the parcel's two rates, and you know how the column of air will behave before you lift anything. If the air around cools more slowly than even a saturated parcel, every lifted parcel ends up colder:
Absolute stability (see Figure 13-1) is the state of a column of air in the atmosphere when its lapse rate of temperature is less than the moist adiabatic lapse rate. This includes both isothermal and inversion temperature profiles.
If it cools faster than even a dry parcel, every lifted parcel ends up warmer:
Absolute instability (see Figure 13-3) is the state of a column of air in the atmosphere when it has a superadiabatic lapse rate of temperature (i.e., greater than the dry adiabatic lapse rate). An air parcel displaced vertically would be accelerated in the direction of the displacement.
In between, the answer depends on how high the parcel is lifted. The simulation shows why.