Half-Life Calculator
Radioactive kuwonongeka: kupeza ndalama zosatha, nthawi yapita kapena half-life, ndi kuwonongeka curve.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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.
Mafunso ofunsidwa nthawi zambiri
Kodi ndi chiyani formula ya half-life decay?
Mtengo wa kumbuyo pambuyo nthawi t ndi N = N₀ × (½) ^ (t / t½). pambuyo pa half-life imodzi, theka ali, pambuyo pa awiri, theka, pambuyo pa atatu, theka, ndi zina zotero.
Kodi ndi chiyani chosasinthasintha cha decay ndi nthawi ya moyo?
Mtengo wa kugwa ndi λ = ln2 / t½ ≈ 0.693 / t½, kuthekera kwa kugwa pa nthawi imodzi. The mwala moyo τ = 1 / λ = t½ / ln2 ndi mwala nthawi atomu ali ndi moyo - za 1.44 half-lives.
Kodi ndingapeze half-life kuchokera ku kafukufuku wambiri?
Yes. Set "solve for" to half-life and enter the initial and remaining amounts plus the elapsed time; the tool solves t½ = t × ln2 / ln(N₀/N).
Kodi carbon-14 dating imakhudzana bwanji ndi half-life?
Carbon-14 decays with a half-life of 5,730 years, so measuring how much C-14 is left in a once-living sample dates it. From 100 units, about 78.5 remain after 2,000 years, and roughly half after 5,730 — the basis of radiocarbon dating.
Kodi ndi zigawo ziti zomwe nthawi ndi half-life zimagwiritsa ntchito?
Any unit, as long as the elapsed time and the half-life share it. Enter both in years, or both in seconds; the ratio t / t½ is all that matters, and the results come back in that same unit.
Kodi pali chiyani chotsala pambuyo pa ma half-lives angapo?
Kuwonjezeka ndi theka kwa nthawi iliyonse ya half-life: 50% pambuyo pa imodzi, 25% pambuyo pa awiri, 12.5% pambuyo pa atatu, 6.25% pambuyo pa awiri.Pambuyo pa zaka makumi awiri za half-life pansi pa 0.1% zimapezeka, chifukwa chake "zaka makumi awiri za half-life" ndi malamulo odziwika bwino kuti apite.
Kodi half-life imangotengera kuchuluka kwa zinthu zomwe ndimayamba ndi?
Sichoncho. Ndi khalidwe lokhazikika la izotope, losiyana ndi kukula kwa chitsanzo, kutentha kapena khalidwe la kemikali. Ngati muyamba ndi gramu kapena tonne, theka limatha m’nthawi imodzi yokha ya half-life — yomwe ndi yomwe imachititsa kuti ikhale nthawi yodalirika.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.