Kalkulatè Half-Life
Dezas radyoaktif: jwenn kantite ki rete, tan pase a oswa semi- lavi, ak yon koub dezas.
Rezilta yo mete ajou pandan w ap ekri.
Atik sa a
The half-life is the time it takes for half of a radioactive sample to decay, and it sets the pace of the whole process through N = N₀ × (½)^(t / t½), where N₀ is the starting amount, t is the elapsed time and t½ is the half-life. After one half-life half the material remains, after two a quarter, after three an eighth, and so on — the amount never quite reaches zero but halves with every t½ that passes. Choose what to solve for: the amount left after a given time, the time needed to fall to a given amount, or the half-life itself inferred from a measured decay.
As a worked example, carbon-14 has a half-life of 5,730 years, so a sample that starts with 100 units of C-14 falls to 100 × (½)^(2000 / 5730) ≈ 78.5 units after 2,000 years. The calculator also reports the decay constant λ = ln2 / t½ ≈ 0.693 / t½ (the probability a given atom decays per unit time) and the mean lifetime τ = 1 / λ = t½ / ln2, which is about 1.44 half-lives — the average time an individual atom survives — and plots the decay curve.
Because the maths is scale-free, the time and the half-life only need to share the same unit — years, days, seconds or hours — and the initial and remaining amounts can be in grams, atom counts, becquerels or any consistent measure. This makes the tool equally at home with radiocarbon and radiometric dating, medical isotope dosing, nuclear-waste decay planning and any first-order exponential decay, including some drug-elimination and discharge problems that follow the same half-life mathematics.
Kesyon ki poze souvan
Ki sa ki se fòmil la decay half-life?
Kantite ki rete apre tan t se N = N₀ × (½)^(t/t½). Apre yon semi-viv rete mwatye, apre de yon kwart, apre twa yon otòn, ak sou sa.
Ki sa ki se decay konstan ak mwayèn lavi?
Konstan depa a se λ = ln2 / t½ ≈ 0.693 / t½, pwobabilite depa pou chak tan yonite. lavi mwayèn τ = 1 / λ = t½ / ln2 se tan mwayèn yon atome viv - sou 1.44 mwatye lavi.
Èske m ka jwenn semi- vi a nan de mezi?
Sèvi ak "solve for" pou w chwazi semi-life epi antre kantite inisyal ak kantite ki rete a, ak tan ki pase a; zouti a pral rezoud t½ = t × ln2 / ln(N₀/N).
Ki jan se carbon-14 dat ki gen rapò ak mwatye lavi?
Karbon-14 degrade ak yon semi-vi de 5,730 ane, se konsa mezire konbyen C-14 ki rete nan yon echantiyon yon fwa vivan dat li.Sou 100 unite, sou 78.5 rete apre 2,000 ane, ak apeprè mwatye apre 5,730 — baz la nan dat radiocarbon.
Ki kalite unite tan ak mwatye lavi yo itilize?
Nenpòt unite, osi lontan ke tan pase a ak semi- vi a pataje li. Antre tou de nan ane, oswa tou de nan segond; rapò t / t½ se tout sa ki enpòtan, ak rezilta yo vini tounen nan menm unite a.
Ki kantite ki rete apre plizyè mwatye lavi?
Multipliqué par yon mwatye pou chak semi-vi: 50% apre yon, 25% apre de, 12.5% apre twa, 6.25% apre kat. apre desan semi-vi anba 0.1% rete, ki se poukisa "sou desan semi-vi" se yon règleman komen pou efektivman ale.
Èske semi-vi deplwaye sou ki jan anpil materyèl mwen kòmanse ak?
Non, se yon pwopriyete fiks isotop la, ki pa gen rapò ak gwosè echantiyon an, tanperati a oswa eta chimik la. Si ou kòmanse ak yon grenn oswa yon tòn, mwatye dechèpman an fèt nan egzakteman yon mwatye lavi — sa ki fè li yon orologio ki ka fè konfyans.
API — itilize sa a calculateur soti nan kòd
Apèl sa a calculateur kòm yon gratis JSON pwent-de-fini - pa gen okenn kle ki nesesè. Envoye valè jaden anba a kòm paramèt kesyonè oswa JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Li dokiman API a an antye →
Endpoint
GET https://calculator.free/api/v1/half-life/curl
curl "https://calculator.free/api/v1/half-life/?solve=remaining&initial=100&half_life=5730&time=2000"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/half-life/?" + new URLSearchParams({
"solve": "remaining",
"initial": "100",
"half_life": "5730",
"time": "2000"
}));
const data = await r.json();
console.log(data.results);Rezilta yo se estimasyon pou kòmandman jeneral sèlman, pa finansye, medikal oswa konsèy taks.