Gas temperature from P, V, n calculator
Recover the absolute temperature of an ideal gas: 1 mol at 1 atm in 22.414 L sits at about 273 K, the ice point. Enter the pressure in atmospheres, the volume in litres and the moles, and get kelvin back. Free in your browser.
- Free
- Runs in your browser
- No sign-up
- Your data stays on your device
Run — free
Worked example
- Pressure
- 1
- Volume
- 22.414
- Moles
- 1
- R
- 0.08205746 K
- Creativity
- 273.1500585078
- Precision
- 10
This gas temperature from pressure volume calculator returns the absolute temperature T in kelvin from the gas pressure P in atmospheres, the volume V in litres, and the amount of substance n in moles using the ideal gas law rearrangement T equals P times V divided by n times R. Starting from PV equals nRT, solving for temperature yields a direct path from measured or stated pressure, container volume, and mole count to kelvin without a molecular formula or density measurement. The same path appears in general chemistry homework that gives P, V, and n and asks for T, in lab prep that checks whether a filled flask sits near room temperature or ice-point conditions, and in process checks that convert online pressure and volume readings into an effective absolute temperature under ideal assumptions. Typical textbook checks include one atmosphere, about twenty-two point four one four litres, and one mole yielding roughly two hundred seventy-three kelvin with the default gas constant, and twice the pressure at fixed V and n doubling T. The engine uses only finite arithmetic with no network calls, no sampling, and no date-dependent shortcuts.
Where temperature from P, V, and n fits in study, lab, and software
Students meet absolute temperature from the ideal gas law when a textbook gives pressure, volume, and moles and asks for T in kelvin, when a lab fills a flask of known volume with a measured amount of gas at a stated pressure, or when a contest problem requires converting those three quantities into an absolute temperature under ideal assumptions. Teachers can pre-generate answer keys for modest P, V, and n without trusting opaque calculator apps that silently switch between atmospheres and kilopascals or between Celsius and kelvin.
Developers call the same contract from scripts to seed deterministic test vectors for chemistry education products, to normalize user-entered gas inputs before reporting temperature, or to satisfy programming-challenge statements that demand T rather than a hand-waved estimate. Process and quality workflows sometimes need a fast offline source of ideal-temperature checks so online pressure and volume readings can be converted without reopening a full thermodynamics package.
Product and tutoring tools use the product when a learner types pressure, volume, and moles and the UI must show a clean kelvin result with a formula echo. Pair it with STP volume, molar mass from density, and combined gas-law helpers when you are building a small lab of free, deterministic ideal-gas tools that share the same validation style and precision contract.
What you can do with it
Homework ideal-gas temperature checks
Convert textbook pressure, volume, and mole counts into absolute temperature T in kelvin for PV=nRT drills and answer-key prep.
Lab and tutoring software
Normalize user-entered P, V, and n into kelvin for flask labs, interactive lessons, and offline teaching demos.
FAQ
What does the gas temperature calculator cost?
It is free in your browser on this page.
What happens if moles or volume is zero?
Zero moles or zero volume makes T undefined (division by zero) or non-physical for this ideal-gas rearrangement.
Can I use a different gas constant R?
Zero R is rejected. Keep P in atm and V in L for consistent units.
Does this tool convert Celsius or use real-gas equations?
No. It returns kelvin from ideal-gas T = PV/(nR) only. Supply absolute conditions yourself, and use a van der Waals or combined-gas-law tool for other models.
What happens to the temperature if I double the pressure?
At the same volume and amount of gas, the temperature doubles too, because it is directly proportional to pressure. The same is true for volume, so doubling it at fixed pressure and moles doubles the kelvin result.
Related tools
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
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/chem/gas-temperature-from-ptv \
-H "Authorization: Bearer $KIT_KEY" \
-H "Content-Type: application/json" \
-d '{"pressure":1,"volume":22.414,"moles":1}'const res = await fetch("https://api.kit.forhosting.com/chem/gas-temperature-from-ptv", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.KIT_KEY}`,
"Content-Type": "application/json"
},
body: JSON.stringify({
"pressure": 1,
"volume": 22.414,
"moles": 1
})
});
const { task_id } = await res.json();import os, requests
res = requests.post(
"https://api.kit.forhosting.com/chem/gas-temperature-from-ptv",
headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
json={
"pressure": 1,
"volume": 22.414,
"moles": 1
},
)
task_id = res.json()["task_id"]<?php
$res = file_get_contents("https://api.kit.forhosting.com/chem/gas-temperature-from-ptv", false, stream_context_create([
"http" => [
"method" => "POST",
"header" => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
"content" => '{"pressure":1,"volume":22.414,"moles":1}',
],
]));
$task = json_decode($res, true);body := bytes.NewBufferString(`{"pressure":1,"volume":22.414,"moles":1}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/chem/gas-temperature-from-ptv", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)Example request
{
"pressure": 1,
"volume": 22.414,
"moles": 1
}Example response
{
"task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
"type": "chem.gas_temperature_from_ptv",
"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
Published price — no tokens, no invented credits. A failed task is never charged.
Limits
max_abs_value | 1000000000000000 |
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. |
Technical notes
What temperature from P, V, and n means and what the response contains
Absolute temperature from pressure, volume, and moles is the ideal-gas identity that recovers T when you already know how hard the gas presses, how much space it occupies, and how many moles are present. Starting from PV equals nRT, divide both sides by nR to obtain T equals P V over n R. With P in atmospheres, V in litres, n in moles, and R in litre-atmospheres per mole-kelvin, T is returned in kelvin, the absolute scale required by every ideal-gas formula and by SI lab reporting. This calculator returns the normalized pressure, volume, moles, and R values, the computed temperature, the precision used, the method tag gas_temperature_from_ptv, a short formula reminder, and the unit string K. There is no approximate CAS path and no random sampling: the engine either multiplies two finite scalars and divides by the product of moles and R inside the supported magnitude range or rejects the input with invalid_input. Rejected cases include missing pressure, volume, or moles, non-finite values, magnitudes above the documented ceiling, zero moles because division by zero makes T undefined, and zero volume because an empty sample is non-physical for this rearrangement.
How pressure, volume, moles, and R are read
Optional leading plus signs and scientific notation on numeric strings are allowed when they parse as finite decimals; embedded spaces, hex prefixes, and non-numeric tokens are rejected with a clear message so a bad cell does not become a wrong temperature. Moles must not be zero for the same division-by-zero reason in T equals P V over n R. The preferred fields are pressure for P in atmospheres, volume for V in litres, and moles for n in moles, but aliases P, p, pressure_atm, and atm for pressure, V, vol, volume_l, liters, and litres for volume, and n, amount, mol, and moles_n for moles are accepted so spreadsheets, query strings, and typed forms can reuse the same contract. Volume must not be zero: if the absolute value is at or below a tiny epsilon, the request fails with invalid_input because T is undefined for a zero-volume sample. An optional R field, with aliases gas_constant, r, and R_gas, overrides the default ideal gas constant of zero point zero eight two zero five seven four six litre-atmospheres per mole-kelvin when your problem statement uses a rounded textbook R such as zero point zero eight two one; zero R is rejected. An optional precision field, with aliases decimals and dp, chooses how many decimal places to expose for the inputs, R, and temperature, defaulting to ten and capped at fifteen so JSON goldens stay stable. Pair the free browser run on this page with the priced API when you need the identical mathematical result inside an automated pipeline without re-implementing T equals P V over n R yourself.
Where temperature from P, V, and n fits in study, lab, and software
On this page the work runs entirely in your browser; through the API each successful lookup costs $0.002, failed validation is not charged, and nothing is stored after the response returns. That split — free interactive exploration and a priced, identical API — matches the rest of the KIT tier-A catalog and lets you move from a classroom demo to an automated pipeline without changing the mathematical result.
Integration use cases
Deterministic test fixtures
Generate reproducible temperature values for unit tests, property checks, and CI assertions on the ideal-gas T = PV/(nR) formula.
Technical questions
How is temperature defined here?
For ideal gas P, V, and n, T = P·V/(n·R) with default R = 0.08205746 L·atm/(mol·K). The result is absolute temperature in kelvin.