Atmospheric Lapse Rate Calculator

Calculate lapse rate and temperature shifts across layers. Switch units, compare heights, then export results. Made for quick, clear field decisions in any weather.

Tip: Lapse rate is positive when temperature decreases with altitude.
Point 1
Point 2
Base Conditions
Target Altitude
Target Temperature
Lapse Rate and Output Preferences
Used in temperature/altitude modes.

Formula Used

Use a consistent atmospheric layer. Real profiles vary by humidity, inversions, and weather.

How to Use This Calculator

  1. Select a calculation mode that matches your known data.
  2. Enter temperatures and altitudes with their units.
  3. For prediction modes, provide a lapse rate value and unit.
  4. Choose your preferred output units for quick reporting.
  5. Click Calculate. Results appear above the form.
  6. Use CSV or PDF buttons to export your computed results.

Example Data Table

Scenario T₁ z₁ T₂ z₂ Computed Γ
Typical troposphere layer 15 °C 0 m 8.5 °C 1000 m 6.5 °C/km
Cooler upper layer 10 °C 500 m −3 °C 2500 m 6.5 °C/km
Weak gradient case 20 °C 0 m 18 °C 1000 m 2.0 °C/km

Professional Guide to Atmospheric Lapse Rate

1) Why lapse rate matters in practice

Atmospheric lapse rate describes how air temperature changes with height. Engineers, pilots, and outdoor planners use it to anticipate density changes, icing risk, cloud base tendencies, and performance shifts. A consistent estimate helps convert a temperature observation into a useful vertical profile.

2) Environmental versus adiabatic rates

The calculator focuses on the environmental lapse rate derived from measurements or chosen inputs. For comparison, the dry adiabatic rate is about 9.8 °C/km when unsaturated air rises, while moist adiabatic values commonly range from ~4 to 7 °C/km, depending on moisture and temperature.

3) A common reference: standard troposphere

A widely used reference is the standard tropospheric lapse rate of 6.5 °C/km. In many mid‑latitude conditions, this is a reasonable first estimate for the lowest few kilometers. Your local profile can deviate significantly during fronts, marine layers, or strong mixing. For many applications, a 0–3 km layer assumption gives a practical first estimate when detailed soundings are unavailable.

4) Two-point calculation with real data

If you measure 15 °C at 0 m and 8.5 °C at 1000 m, the computed lapse rate is 6.5 °C/km. This mode is ideal for radiosonde snapshots, station pairs, or sensor mast comparisons where you trust both readings.

5) Predicting temperature at a target altitude

With a base temperature and a lapse rate, the tool estimates temperature at any altitude using a linear layer model. For example, with T₀ = 20 °C at z₀ = 200 m and Γ = 6.5 °C/km, the temperature at 1500 m drops by about 8.45 °C.

6) Solving altitude from a target temperature

You can invert the same model to find the altitude where a temperature occurs. If T₀ = 18 °C at 0 m and the air reaches 5 °C with Γ = 6.5 °C/km, the estimate is roughly 2000 m above the base.

7) Units, sign conventions, and reporting

This calculator reports Γ as positive when temperature decreases with height. It also provides conversions like °F per 1000 ft for aviation-style reporting. Choose output units that match your workflow, then export to CSV for logs or print to PDF for reports.

8) Accuracy notes and when to be cautious

Real atmospheres are layered. Temperature inversions (warming with height) make Γ negative, while convective mixing can increase variability. For best results, apply the tool over a narrow layer where conditions are roughly linear, and avoid mixing data across different air masses or times.

FAQs

1) What is a typical atmospheric lapse rate?

A common reference is about 6.5 °C per kilometer in the lower troposphere, but real values vary with weather, humidity, and time of day.

2) Why can lapse rate become negative?

A negative lapse rate indicates an inversion where temperature increases with height. It often occurs at night, under high pressure, or near marine layers.

3) Which mode should I use for field measurements?

Use “two points” when you have temperatures and altitudes for two locations. Use “temperature at altitude” for forecasting, and “altitude from temperature” to invert the relationship.

4) Does this calculator model pressure or density directly?

No. It models temperature variation with altitude using a linear lapse rate layer. You can use the output temperature as an input to separate density or performance calculations.

5) How does humidity affect lapse rate?

Moist air releases latent heat during condensation, reducing the effective cooling rate. That is why moist adiabatic lapse rates are usually smaller than dry adiabatic values.

6) What if my measurements are in mixed units?

Enter each input with its own unit selector. The calculator converts internally, then reports results in multiple formats to simplify comparisons and reporting.

7) When is a linear lapse model not appropriate?

Be cautious across strong fronts, deep inversions, or multiple layers. If the profile changes slope with height, compute lapse rate separately for each layer instead.