Partial pressure at new temperature calculator
Heat a sealed flask from 298 K to 373 K and the oxygen's 0.21 atm partial pressure rises in the same ratio as the absolute temperature; doubling the kelvins turns half an atmosphere into one. Enter the starting pressure and both temperatures. Free in your browser.
- Free
- Runs in your browser
- No sign-up
- Your data stays on your device
Run — free
Worked example
- P1
- 0.21
- T1
- 298
- T2
- 373
- P2
- 0.262852349
- Ratio
- 0.000704698
- Constraints
- fixed_volume_and_moles
When a fixed amount of an ideal gas component is held at constant volume, its partial pressure scales directly with absolute temperature: the ratio p1 over T1 equals p2 over T2. This calculator targets the common chemistry case where you already know a component partial pressure at one absolute temperature and need the partial pressure after an isochoric heating or cooling with moles unchanged. It rearranges the ideal-gas relation to p2 equals (p1 times T2) divided by T1, returns the conserved partial-pressure-to-temperature ratio, and rejects a zero initial temperature so division by zero never becomes a silent Infinity.
How partial pressure scales with temperature at fixed volume and moles
From the ideal-gas law written for a pure gas or for one component under Dalton's law, partial pressure is proportional to absolute temperature when volume and moles stay fixed. For two states of the same sealed sample, p1 over T1 equals p2 over T2. Solving for the unknown final partial pressure produces the working formula p2 equals (p1 times T2) divided by T1.
Temperature must be on an absolute scale such as kelvin or rankine so that the zero point is true absolute zero; mixing Celsius values without conversion will give wrong answers because zero Celsius is not zero on the absolute scale. Partial pressure may be given in atmospheres, kilopascals, bars, or torr as long as p1 and the returned p2 use the same unit.
This tool does not convert between unit systems, does not compute partial pressure from mole fraction and total pressure, does not apply Boyle's law with volume changes, and does not correct for real-gas compressibility factors. It answers only the fixed-volume, fixed-moles temperature question: given the starting partial pressure and temperature and the new temperature, what partial pressure results. Zero initial temperature is the critical validation edge because the rearrangement divides by T1; a zero or near-zero T1 fails with invalid input instead of inventing an infinite partial pressure.
Where partial-pressure temperature scaling shows up in real work
Secondary-school and college chemistry courses assign sealed-flask and mixture problems that give one component partial pressure, two absolute temperatures, and ask for the new partial pressure after heating or cooling at constant volume. University general-chemistry labs use the same three-number reduction before they introduce variable volume, mole-fraction Dalton calculations, or the full ideal-gas equation for multi-step processes. Process technicians and safety trainees sanity-check closed rigid vessels when only a temperature swing is known and the target is a revised component partial pressure for flammability or toxicity screening.
If you later need partial pressure from mole fraction, Gay-Lussac total-pressure landings by name, Boyle's law with volume, Charles's law, the combined gas law, mole-based ideal-gas calculations, unit conversion between atmospheres and pascals, or real-gas equations of state, treat those as separate search intents and landings rather than overloading this partial pressure at new temperature calculator page.
What you can do with it
Homework and lab answer keys
Compute p2 from p1, T1, and T2 so teachers and auto-graders share one fixed-volume partial-pressure ground truth, including the zero initial-temperature rejection.
Sealed-mixture and vessel checks
Estimate a component partial pressure after a measured temperature change under constant volume and moles for demos, lab notebooks, and safety briefings.
FAQ
What formula does this calculator use?
Ideal-gas partial-pressure scaling at fixed volume and moles: p2 = (p1 · T2) / T1. The response also returns the conserved ratio p1 / T1.
What happens if initial temperature T1 is zero?
Partial pressure at the new temperature cannot be computed when T1 is zero because the formula divides by initial temperature.
Which units should I use?
Any consistent pair: keep p1 and the returned p2 in the same pressure unit and T1 and T2 on the same absolute temperature scale (kelvin recommended). The tool does not convert units or Celsius to kelvin.
Is this the same as partial pressure from mole fraction?
No. This landing scales an already-known partial pressure with temperature at fixed V and n.
What does it cost?
The browser tool is free and runs locally.
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/partial-pressure-change-temperature \
-H "Authorization: Bearer $KIT_KEY" \
-H "Content-Type: application/json" \
-d '{"p1":0.21,"t1":298,"t2":373}'const res = await fetch("https://api.kit.forhosting.com/chem/partial-pressure-change-temperature", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.KIT_KEY}`,
"Content-Type": "application/json"
},
body: JSON.stringify({
"p1": 0.21,
"t1": 298,
"t2": 373
})
});
const { task_id } = await res.json();import os, requests
res = requests.post(
"https://api.kit.forhosting.com/chem/partial-pressure-change-temperature",
headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
json={
"p1": 0.21,
"t1": 298,
"t2": 373
},
)
task_id = res.json()["task_id"]<?php
$res = file_get_contents("https://api.kit.forhosting.com/chem/partial-pressure-change-temperature", false, stream_context_create([
"http" => [
"method" => "POST",
"header" => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
"content" => '{"p1":0.21,"t1":298,"t2":373}',
],
]));
$task = json_decode($res, true);body := bytes.NewBufferString(`{"p1":0.21,"t1":298,"t2":373}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/chem/partial-pressure-change-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
{
"p1": 0.21,
"t1": 298,
"t2": 373
}Example response
{
"task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
"type": "chem.partial_pressure_change_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
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. |
Technical notes
What you send and what you get back
Send three finite numbers: p1 for the initial partial pressure of the component, t1 for the initial absolute temperature, and t2 for the final absolute temperature after the isochoric, fixed-moles change. Classic textbook checks include scaling oxygen's air partial pressure of about zero point two one atmospheres from two hundred ninety-eight kelvin to three hundred seventy-three kelvin, or doubling absolute temperature of a half-atmosphere component and recovering one atmosphere. All three fields are required. p1 may be any finite value expressed in a consistent pressure unit. t1 must be non-zero; when initial temperature is zero the request fails with a clear message that partial pressure at the new temperature cannot be computed because the formula divides by T1. t2 may be any finite number including zero, which yields a zero final partial pressure under the ideal model. Missing fields, non-numeric strings, NaN, and Infinity also fail with invalid_input and are not charged. On success the response echoes cleaned p1, t1, and t2, reports the solved p2, includes ratio as p1 divided by T1, documents formula p2 equals (p1 times T2) over T1 at fixed volume and moles, and labels method partial_pressure_change_temperature with constraints fixed_volume_and_moles. Pricing for successful API calls is the published base of $0.002 per item; validation failures do not consume prepaid balance.
Where partial-pressure temperature scaling shows up in real work
Because this capability is a pure parse engine, API pricing is the published base of $0.002 per successful item and failed validation does not consume balance.
Integration use cases
Curriculum widgets and API fixtures
Drive browser demos and CI golden tests from the same isomorphic solver so classroom tools never disagree with backend grading.