ForHosting KIT · Developer Utilities

First-order reaction time calculator

This first-order reaction time calculator finds how long a reactant takes to fall from an initial concentration to a final concentration when the rate is proportional to remaining amount.

● BetaFree · in your browser

Run — free How it works & API

Use it from WebAPIEmailTelegramApp soon

Enter a positive first-order rate constant k, a positive initial concentration [A]₀, and a positive final concentration [A], and the engine returns the elapsed time t equals the natural log of the concentration ratio [A]₀ over [A] divided by k, together with the normalized inputs, the method tag first_order_time, a short formula reminder, and a unit note so time and concentration units stay consistent. The arithmetic is fully deterministic: one natural logarithm and one division on finite floating-point numbers, with no network calls, no sampling, and no date-dependent shortcuts. Classroom checks include k equals zero point one with [A]₀ equals one and [A] equals zero point five yielding t approximately six point nine three one, and k equals zero point zero five with [A]₀ equals two and [A] equals zero point five yielding t approximately twenty-seven point seven. Use it free in the browser for chemical kinetics homework, radioactive-style first-order decay drills, and lab prep, or call the API at $0.002 per successful request when you need reproducible time fixtures in CI, teaching software, or process calculators.

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/chem/first-order-time

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/first-order-time \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"rate_constant":0.1,"initial_concentration":1,"final_concentration":0.5}'

const res = await fetch("https://api.kit.forhosting.com/chem/first-order-time", {
  method: "POST",
  headers: {
    "Authorization": `Bearer ${process.env.KIT_KEY}`,
    "Content-Type": "application/json"
  },
  body: JSON.stringify({
    "rate_constant": 0.1,
    "initial_concentration": 1,
    "final_concentration": 0.5
  })
});
const { task_id } = await res.json();

import os, requests

res = requests.post(
    "https://api.kit.forhosting.com/chem/first-order-time",
    headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
    json={
    "rate_constant": 0.1,
    "initial_concentration": 1,
    "final_concentration": 0.5
},
)
task_id = res.json()["task_id"]

<?php
$res = file_get_contents("https://api.kit.forhosting.com/chem/first-order-time", false, stream_context_create([
  "http" => [
    "method"  => "POST",
    "header"  => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
    "content" => '{"rate_constant":0.1,"initial_concentration":1,"final_concentration":0.5}',
  ],
]));
$task = json_decode($res, true);

body := bytes.NewBufferString(`{"rate_constant":0.1,"initial_concentration":1,"final_concentration":0.5}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/chem/first-order-time", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)

Example request

{
  "rate_constant": 0.1,
  "initial_concentration": 1,
  "final_concentration": 0.5
}

Example response

{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "chem.first_order_time",
  "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.

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.

Read the full KIT documentation →

Run — free