ForHosting KIT · Developer Utilities

Equivalent potential temperature calculator

Equivalent potential temperature, often written theta-e or θe, is the temperature a moist air parcel would reach if all of its water vapor condensed out through a moist-adiabatic process and the parcel were then brought dry-adiabatically to a standard reference pressure.

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Run — free How it works & API

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Forecasters and students use θe to compare parcels from different heights, to sketch convective available potential energy ideas, and to diagnose warm moist tongues that feed thunderstorms. This equivalent potential temperature calculator implements the widely cited Bolton 1980 analytic approximation: it accepts absolute temperature in kelvin, station or parcel pressure in hectopascals, and water-vapor mixing ratio in kilograms per kilogram of dry air, then returns θe in kelvin together with vapor pressure, relative humidity, lifting-condensation-level temperature, and the intermediate dry potential temperature of the lifted parcel. Non-positive absolute temperature or pressure is rejected with invalid_input so automation never silently emits a nonsense Kelvin value. The same pure parse module powers the free browser widget and the API path at $0.002 per successful call.

How to use it

Enter your values in the form above. The tool checks them before calculating and shows the result on the same page.

Check your inputs

Use the labels and units shown next to each field. If something is missing or outside the allowed range, the page points to the field to fix.

Use it again or automate it

Use the browser tool for individual checks and the API when you need the same capability in an automated workflow.

What you can do with it

Get an answer now

Enter one set of values and see the result without building a spreadsheet or script.

Compare scenarios

Change one value at a time and rerun the calculation to understand what affects the result.

Automate repeated work

Use the API when the same calculation needs to run inside your product or workflow.

FAQ

How do I use this capability?

Complete the fields above and run it on this page. The form highlights anything that needs attention.

For developers — API access

Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.

API endpoint

POSThttps://api.kit.forhosting.com/earth/equivalent-potential-temperature

Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.

Call it from your stack

curl -X POST https://api.kit.forhosting.com/earth/equivalent-potential-temperature \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"temperature":300,"pressure":1000,"mixing_ratio":0.01}'

const res = await fetch("https://api.kit.forhosting.com/earth/equivalent-potential-temperature", {
  method: "POST",
  headers: {
    "Authorization": `Bearer ${process.env.KIT_KEY}`,
    "Content-Type": "application/json"
  },
  body: JSON.stringify({
    "temperature": 300,
    "pressure": 1000,
    "mixing_ratio": 0.01
  })
});
const { task_id } = await res.json();

import os, requests

res = requests.post(
    "https://api.kit.forhosting.com/earth/equivalent-potential-temperature",
    headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
    json={
    "temperature": 300,
    "pressure": 1000,
    "mixing_ratio": 0.01
},
)
task_id = res.json()["task_id"]

<?php
$res = file_get_contents("https://api.kit.forhosting.com/earth/equivalent-potential-temperature", false, stream_context_create([
  "http" => [
    "method"  => "POST",
    "header"  => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
    "content" => '{"temperature":300,"pressure":1000,"mixing_ratio":0.01}',
  ],
]));
$task = json_decode($res, true);

body := bytes.NewBufferString(`{"temperature":300,"pressure":1000,"mixing_ratio":0.01}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/earth/equivalent-potential-temperature", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)

Example request

{
  "temperature": 300,
  "pressure": 1000,
  "mixing_ratio": 0.01
}

Example response

{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "earth.equivalent_potential_temperature",
  "status": "queued",
  "_links": {
    "result": "/tasks/tsk_…/result"
  }
}

The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.

Pricing

Per request$0.002

Published price — no tokens, no invented credits. A failed task is never charged.

Errors

HTTP	Code	Meaning
`401`	`unauthorized`	Missing or invalid API key.
`402`	`insufficient_balance`	Your balance doesn't cover the task price.
`404`	`unknown_type`	That task type doesn't exist.
`429`	`rate_limited`	Too many requests. Use the webhook instead of polling.

Read the full KIT documentation →