ForHosting KIT · Developer Utilities

Half-life calculator

Half-life decay describes how a radioactive nuclide, a pharmaceutical tracer, or any first-order decaying inventory loses half of its quantity every fixed interval of time.

● BetaFree · in your browser
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Runs in your browser. Free, unlimited — your data never leaves this page.

The classical relation is N of t equals N zero times one-half raised to the power of t over t half, so that after one half-life half remains, after two quarters remain, and so on without needing tables for every isotope. This capability accepts an initial quantity, a positive half-life, and a non-negative elapsed time in matching units, returns the remaining amount together with fraction remaining, percent remaining, amount decayed, and half-lives elapsed, and rejects negative time with a clear invalid input error so pipelines never run physics backward by accident. Homework checkers, nuclear-medicine prep sheets, environmental inventory scripts, and tutoring apps can pin the same deterministic JSON in continuous-integration fixtures without embedding a chemistry CAS. The browser widget runs free on your device; the prepaid API charges $0.002 per successful item when servers and SDKs need the same contract.

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.

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.

How do I use this capability?

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

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.

POSThttps://api.kit.forhosting.com/chem/half-life

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.

curl -X POST https://api.kit.forhosting.com/chem/half-life \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"initial_quantity":100,"half_life":10,"elapsed_time":20}'
{
  "initial_quantity": 100,
  "half_life": 10,
  "elapsed_time": 20
}
{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "chem.half_life",
  "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.

Per request$0.002

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

HTTPCodeMeaning
401unauthorizedMissing or invalid API key.
402insufficient_balanceYour balance doesn't cover the task price.
404unknown_typeThat task type doesn't exist.
429rate_limitedToo many requests. Use the webhook instead of polling.

Read the full KIT documentation →