# What Is Lapse Rate? (Types, Formula, Application)

## Lapse Rate Full Explanation

Hello, atmospheric adventurers and climate curious! Have you ever wondered why it gets cooler as you climb higher, whether trekking up a mountain or flying high in an airplane? This fascinating phenomenon is all thanks to something called the lapse rate, a key concept in understanding how temperature changes with altitude in the Earth’s atmosphere.

We’re taking an uplifting journey into the skies to explore the layers of our atmosphere and the science behind the lapse rate. From the sun’s warming rays to the chilling heights above the clouds, we’ll discover how and why temperature varies with elevation and what this means for weather, climate, and even your next high-altitude adventure.

The lapse rate is simply a temperature change rate with altitude and no fixed lapse rate in the real world. Atmospheric pressure decreases with altitude. So, as an air parcel is forced to rise, it expands. The expanded parcel cools not from loss of heat energy because energy is dispersed over the larger volume. Temperature changes resulting from pressure changes are called adiabatic. The process does not gain or lose energy from the surrounding environment.

The ability of air to hold water vapor is temperature-dependent. So moisture will condense when air is cooled to the dew point. As condensation begins, latent heat is released. As it rises farther, the air parcel continues to cool by expansion, but it cools at a slower or wet adiabatic rate. The cooling rate decreases as condensation continues because the cooling is partially counteracted by releasing latent heat from what’s in.

So, fasten your seatbelts and prepare for takeoff because we’re about to ascend into the world of atmospheric science. Are you ready to reach new heights of understanding? Let’s climb!

## What is Lapse Rate?

A lapse rate is a rate of change of temperature with altitude. Lapse rates aren’t stationary. The term adiabatic means no heat lost or gained to the surrounding atmosphere. In the atmosphere, the air parcel does not give off heat to the surrounding environment or receive heat from the surrounding environment.

• The average temperature changes by about 6.5 degrees per kilometer as altitude changes.

Adiabatic processes involve direct energy exchanges. An example is the air’s heating or cooling as it moves across a hot or cold surface. Adiabatic processes do not involve net energy exchange. Heating or cooling is achieved by compression or expansion of the air. Imagine air molecules flying around in a chamber. High temperature means that the molecules have high kinetic energy. They’re flying very fast.

• When air molecules compress, then they will start flying faster. It means that the air is getting warmer.
• When air molecules expand, they air molecules will fly slower. In other words, the air cools down.

The air pressure decreases with altitude. If an air parcel rises for whatever reason, it will get into a region of lower air pressure. As a result, it will expand and cool.

• If force works on an air parcel to rise, it will expand and cool.
• If force works on an air parcel to sink, it will contract and warm.

There are three types of lapse rates. They are:

3. The environmental lapse rate.

No heat is added or removed from the system, but the observed temperature changes. The gas expands, distributing the energy. It has over a larger area, so the gas itself feels colder. In the same way, the air is denser near the earth’s surface. Thus, if a packet of air rises, it cools as it expands into the less dense space above it. The rate at which it cools is called the adiabatic lapse rate.

There are two types of adiabatic lapse rates.

• Dry adiabatic lapse rate (DALR).

### 1. Dry adiabatic lapse rate

The temperature changes with altitude when no moisture is present in the air parcel. It cools at 3 degrees centigrade per 1,000 feet in unsaturated air as air rises. As it cools, it condenses. Eventually, clouds will form. As long as no condensation is involved, a rising air parcel temperature decreases at a fixed rate.

This rate is called the dry adiabatic lapse rate. It is 10 degrees Celsius per 1000 meters. If the surface air temperature happens to 32 degrees Celsius and forces the air to rise to 1,000 meters, the temperature will be 22 degrees Celsius. The force up to 2,000 meters will cool down another 10 degrees, so its temperature is 12 degrees.

The opposite happens when force works on it to come down; it will increase its temperature again at 10 degrees per 1000 meters. If an air parcel is lifted high enough, it will eventually get so cold that it can no longer hold the water vapor. It is the height at which saturation occurs. Also, it is called the lifting condensation level because further lifting will cause condensation. Condensation means that water vapor goes from gaseous into liquid state. We see the formation of clouds.

### 2. Wet adiabatic lapse rate

The dew point is the term given to the temperature with a hundred percent relative humidity. Layman’s term is that the lapse rate changes due to latent heat at the temperature that clouds will form as clouds form. As the air condenses, latent heat is released.

The air cools once it reaches its dew point because extra heat is released. The rate at which it cools decreases. This reduced rate is the saturated adiabatic lapse rate at 1.5 degrees centigrade per 1,000 feet.

The dewpoint temperature depends on the air’s water vapor, which is two degrees Celsius. At 3,000 meters, the air reaches its dew point of 2 degrees Celsius. So, any other lifting will cause further condensation in the formation of the cloud. The process of condensation releases energy.

Therefore, the rate at which the air temperature decreases from the lifting condensation level upward will be less. The air parcel still expands. It still cools down, but not anymore because energy is released through condensation.

Beyond the lifting condensation level, air parcels cool at the moist adiabatic lapse rate. It is approximately 5 degrees Celsius per 1000 meters. It is also called the saturated or wet adiabatic lapse rate. The real value can be between 4 & 9 degrees Celsius per thousand meters. It depends on the amount of water vapor that condenses during the lifting.

The dry and wet adiabatic lapse rates are values for the temperature decrease of a lifted air parcel. These are not values for temperature decrease with altitude that can be measured by taking temperature readings at different altitudes.

### 3. Environmental lapse rate (ELR)

The temperature within the troposphere layer decreases with altitude. ELR is also an ambient lapse rate. Similar to the other lapse rates, it expresses a temperature difference per 1000 meter altitude difference. The environmental lapse rate varies with time and place. It depends strongly on surface temperatures. Solar radiation causes surface heating during the day. This generally leads to high temperatures near the surface and a high environmental lapse rate in the lower atmosphere.

Terrestrial radiation causes surface cooling at night, producing a low environmental lapse rate. When the new surface air is colder than the upper air, it is a temperature inversion. The horizontal transport of air is advection. It is another factor that influences the environmental lapse rate. Advection of cold or warm air at different levels, such as varying wind direction with altitude, causes changes in the environmental lapse rate.

## Lapse Rate in Geography

The lapse rate in geography refers to the rate at which air temperature decreases with an increase in altitude. It’s a fundamental concept in meteorology and climatology, playing a critical role in weather patterns, climate zones, and atmospheric processes. The lapse rate is usually measured in degrees Celsius per kilometer (°C/km) or degrees Fahrenheit per thousand feet (°F/1000ft).

There are two primary types of lapse rates:

Environmental Lapse Rate (ELR): This is the actual rate of temperature decrease with altitude in the atmosphere at a specific place and time. It’s not constant and can vary widely due to time of day, weather conditions, and geographic location.

Adiabatic Lapse Rates: These are rates at which the temperature of a parcel of air changes as it moves up or down in the atmosphere without exchanging heat with its surroundings. There are two types of adiabatic lapse rates:

1. Dry Adiabatic Lapse Rate (DALR): This rate, approximately 9.8°C/km (5.4°F/1000ft), applies to unsaturated air (air with less than 100% relative humidity). It assumes that the air does not gain or lose moisture as it ascends or descends, and no condensation occurs.
2. Saturated Adiabatic Lapse Rate (SALR): This rate varies from about 4°C to 9°C per kilometer (2.2°F to 5°F/1000ft) and applies to saturated air (100% relative humidity). It is lower than the DALR because when air is saturated, water vapor condenses into water droplets or ice crystals, releasing latent heat, reducing the cooling rate.

## 4 types of lifting

Adiabatic cooling occurs when air expands because it is lifted. 4 principal mechanisms can initiate an air parcel’s lifting.

• Orographic lifting.
• Frontal lifting.
• Convergence lifting.
• Convection lifting.

Orographic lifting: Orographic uplift occurs when mountains act as barriers to airflow. Air ascending the mountain slope causes adiabatic cooling. It often generates clouds. Many of the rule’s rainiest places are located on windward mountain slopes. When air reaches the mountain’s leeward side, much moisture is lost. Air descends warms adiabatically, and condensation and precipitation are not likely.

The results are rain shadow deserts such as the Great Basin desert in the western United States and the Patagonia Desert in Argentina. The rising air on the mountain range’s windward side first dry and then wet. The sinking air on the leeward side of the mountain range warms only dry adiabatically. The results are warm downslope winds on the leeward side, such as the chinook winds in the Rocky Mountains or the Alps’ fern winds.

Frontal lifting: A front line where cold and warm air masses collide. It causes the lifting of warm air, which is called frontal lifting.

Convergence lifting: A low-pressure center, called a cyclone, always causes air to converge. Horizontal convergence always causes air to rise.

Convection lifting: Convection occurs when air is lifted due to heating near the surface. It is localized over fairly limited areas and can result in localized thundershowers.

## Air Parcel’s force

Two forces are working on an air parcel.

• Gravitational force.
• Buoyancy force.

Gravitational force tries to pull it down to the earth’s surface. Buoyancy force tries to pull it upward. It is simply the result of higher air pressure near the ground and low air pressure in the upper atmosphere. As a result, air should be moving upward. These two forces are at an equilibrium. There is no reason for an air parcel to rise or sink. However, they change when the density of the air parcel changes.

• If an air parcel has a higher density than its surrounding air, it will sink toward the Earth’s surface.
• It will rise if the air parcel density is lower than the surrounding air.

Lapse rate formula: The temperature difference, Δ temp = Δ elevation × lapse rate

Lapse rate = Δ temp/Δ elevation.

What determines the density of air? The answer is simple. It’s the temperature: Lower temperature, higher density, higher temperature, lower density. An air parcel warmer than its surroundings will rise, and an air parcel colder than its surroundings will sink.

## Lapse Rate Problems and Solutions

Problem 1: The environmental lapse rate is 3.8 °F/1000ft. If the ground temperature is 68 °F, what will the temperature be at 5400ft?

Solution: The temperature difference, Δ temp = Δ elevation × lapse rate

Δ temp = 5400 ft (3.8 °F/1000ft) = 20.5 °F.

Temperature at 5400 ft = 68 °F – 20.5 = 47.5 °F.

Problem 2: A balloon of classroom air is 70 F. If the balloon is brought to the top of the Sandia Mountains in Albuquerque, what will the air temperature inside the balloon be? Assume adiabatic cooling.

Solution: The temperature difference, Δ temp = Δ elevation × lapse rate

Δ temp = 5400 ft (5.4 °F/1000ft) = 29.2 °F.

Temperature at 5400 ft = 70 °F – 29.2 °F = 40.8 °F.

## Application of Lapse Rate

Lapse rate helps determine the temperature variation with altitude or how actual temperatures vary. It is used frequently in atmospheric sciences and studying other earth processes like magma’s movement through the crust. Cloud formation, weather news, and storm/disaster alarms depend on the lapse rate calculation.

• If an air parcel is displayed vertically, it will change its temperature due to its size.
• An air parcel with more than the surrounding air will rise due to its lesser density.
• An air parcel colder than the surrounding air will sink to its increased density.

Those are some basic physical processes in the atmosphere. Stable air is a term given to air that returns to its original position after it’s displaced either up or down. Simultaneously, unstable air is a term given to the air that moves in the replaced direction. So if it’s lighter and continues to move, it’ll be unstable and promote unstable weather conditions.

We’ve soared through the science of how temperature changes with altitude, unraveling the mysteries of the atmosphere and gaining a new perspective on the air we breathe and the climate we experience. This expedition not only elevates our understanding of the natural world but also deepens our appreciation for the delicate balance that sustains life on our planet.

We hope this adventure has inspired you to look up at the sky with newfound curiosity and understanding, recognizing the complex interactions that shape our weather and climate. Remember, every breath of air and every change in the weather is a part of the vast and intricate system that we’ve just explored. Until our next exploration into the wonders of science and nature, keep your curiosity sky-high and marvel at the incredible world above and around us. Happy exploring, fellow atmospheric adventurers!

More Articles:

What Is Latent Heat With Formula

The 5 Layers Of The Atmosphere

Why Clouds Are White Color

References:

Jacobson, Mark Zachary. Fundamentals of Atmospheric Modeling (2nd ed.). Cambridge University Press. ISBN 978-0-521-83970-9.
Ahrens, C. Donald. Meteorology Today (8th ed.). Brooks/Cole Publishing. ISBN 978-0-495-01162-0.
Todd S. Glickman (June 2000). Glossary of Meteorology (2nd ed.). American Meteorological Society, Boston.
Salomons, Erik M. (2001). Computational Atmospheric Acoustics (1st ed.). Kluwer Academic Publishers.