Kalkulatur tal- Half- Life
Dekompożizzjoni radjuattiva: sib l-ammont li jifdal, il-ħin li għadda jew il-half-life, b'kurva ta' dekompożizzjoni.
Riżultati aġġornament kif inti tip.
Dwar din il-kalkulatur
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.
Mistoqsijiet li jsiru ta' spiss
X'inhi l-formula tal-half-life tat-tnaqqis?
L-ammont li jibqa' wara l-ħin t huwa N = N₀ × (½)^(t/t½) Wara nofs ħajja waħda jibqa' nofs, wara tnejn kwart, wara tlieta tmien, u l-bqija.
X'inhi l-kostant decaying u l-ħajja medja?
Il-kostant tad-decaying huwa λ = ln2 / t½ ≈ 0.693 / t½, il-probabbiltà ta' decaying għal kull unità ta' ħin.Il-ħajja medja τ = 1 / λ = t½ / ln2 hija l-ħin medju atomu jgħix - madwar 1.44 half-lives.
Nista’ nsib il-half-life minn żewġ kejlijiet?
Issettja "solvi għal" għal half-life u daħħal l-ammonti inizjali u li jifdal flimkien mal-ħin li għadda; l-għodda ssolvi t½ = t × ln2 / ln(N₀/N).
Kif huwa karbonju-14 dati relatati mal-half-life?
Il-karbonju-14 jiddekomponi b'half-life ta' 5,730 sena, u għalhekk il-kejl ta' kemm C-14 jibqa' f'kampjun li qatt ma kien ħaj jagħtih id-data. Minn 100 unità, madwar 78.5 jibqgħu wara 2,000 sena, u bejn wieħed u ieħor nofs wara 5,730 sena. Din hija l-bażi tad-datazzjoni bir-radjukarbonju.
Liema unitajiet il-ħin u l-half-life jużaw?
Kull unità, sakemm il-ħin li għadda u l-half-life jaqsmuha. Daħħal it-tnejn fis-snin, jew it-tnejn fis-sekondi; il-proporzjon t / t½ huwa dak kollu li hu importanti, u r-riżultati jiġu lura f'dik l-istess unità.
Kemm jibqa ’ wara diversi half- lives?
Immultiplika b'nofs għal kull half-life: 50% wara wieħed, 25% wara tnejn, 12.5% wara tlieta, 6.25% wara erba Wara għaxar half-lives taħt 0.1% jibqa, li huwa għaliex "madwar għaxar half-lives" hija regola komuni għall effettivament marret.
Il-half-life tiddependi fuq kemm nibda b’materjal?
Le, hija proprjeta’ fissa tal-iżotopu, indipendenti mid-daqs tal-kampjun, it-temperatura jew l-istat kimiku. Kemm jekk tibda b’gramm jew b’tunnellata, nofs jiddekomponi f’half-life eżattament waħda — li hi dak li jagħmilha arloġġ affidabbli bħal dan.
API — uża din il-kalkulatur mill-kodiċi
Sejjaħ dan il-kalkulatur bħala punt aħħari JSON b'xejn — l-ebda ċavetta meħtieġa Ibgħat il-valuri tal-qasam hawn taħt bħala parametri tal-mistoqsija jew JSON. Kull ħaġa li tħalli barra tuża l-istess default li din il-paġna hija mimlija minn qabel; parametru mhux magħruf huwa 400, qatt żero sieket. Aqra d-dokumenti sħaħ tal-API →
Punt aħħari
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);Ir-riżultati huma stimi għal gwida ġenerali biss, mhux parir finanzjarju, mediku jew tat-taxxa.