{"id":2356,"date":"2026-02-06T22:29:04","date_gmt":"2026-02-06T20:29:04","guid":{"rendered":"https:\/\/science-x.net\/?page_id=2356"},"modified":"2026-02-06T22:46:26","modified_gmt":"2026-02-06T20:46:26","slug":"radioactive-half-life-calculator","status":"publish","type":"page","link":"https:\/\/science-x.net\/?page_id=2356","title":{"rendered":"Radioactive Half-Life Calculator"},"content":{"rendered":"\n<div class=\"eco-tool wp-block-group\" id=\"eco-tool-half-7e42a\">\n  <div class=\"eco-tool__header\">\n    <h2 class=\"eco-tool__title\">Radioactive Half-Life Calculator<\/h2>\n    <p class=\"eco-tool__lead\">\n      Calculate how much of a radioactive substance remains after a given time, using the concept of half-life.\n    <\/p>\n  <\/div>\n\n  <form class=\"eco-tool__form\" id=\"eco-half-form-7e42a\" novalidate>\n    <div class=\"eco-tool__grid3\">\n      <!-- Half-life -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" for=\"eco-half-hl-7e42a\">\n          Half-life<br>(time units)\n        <\/label>\n        <input class=\"eco-tool__input\" id=\"eco-half-hl-7e42a\" type=\"number\" min=\"0.0001\" step=\"any\" value=\"30\" \/>\n        <div class=\"eco-tool__hint\">Example: years, days, seconds \u2014 unit doesn\u2019t matter.<\/div>\n      <\/div>\n\n      <!-- Elapsed -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" for=\"eco-half-time-7e42a\">\n          Elapsed time<br>(same units)\n        <\/label>\n        <input class=\"eco-tool__input\" id=\"eco-half-time-7e42a\" type=\"number\" min=\"0\" step=\"any\" value=\"90\" \/>\n        <div class=\"eco-tool__hint\">Must use the same units as half-life.<\/div>\n      <\/div>\n\n      <!-- Initial -->\n      <div class=\"eco-tool__field\">\n        <label class=\"eco-tool__label\" for=\"eco-half-init-7e42a\">\n          Initial amount<br>(optional)\n        <\/label>\n        <input class=\"eco-tool__input\" id=\"eco-half-init-7e42a\" type=\"number\" min=\"0\" step=\"any\" value=\"100\" \/>\n        <div class=\"eco-tool__hint\">Can be grams, atoms, %, etc.<\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"eco-tool__actions\">\n      <button type=\"button\" class=\"wp-element-button eco-tool__btn\" id=\"eco-half-calc-7e42a\">Calculate<\/button>\n      <button type=\"button\" class=\"wp-element-button eco-tool__btn eco-tool__btn--ghost\" id=\"eco-half-reset-7e42a\">Reset<\/button>\n      <div class=\"eco-tool__error\" id=\"eco-half-error-7e42a\"><\/div>\n    <\/div>\n  <\/form>\n\n  <div class=\"eco-tool__result\" id=\"eco-half-result-7e42a\" hidden>\n    <h3 class=\"eco-tool__subtitle\">Result<\/h3>\n\n    <div class=\"eco-tool__cards\">\n      <div class=\"eco-tool__card\">\n        <div class=\"eco-tool__metric-label\">Remaining amount<\/div>\n        <div class=\"eco-tool__metric-value\" id=\"eco-half-rem-7e42a\">\u2014<\/div>\n        <div class=\"eco-tool__metric-sub\" id=\"eco-half-remp-7e42a\"><\/div>\n      <\/div>\n\n      <div class=\"eco-tool__card\">\n        <div class=\"eco-tool__metric-label\">Decayed amount<\/div>\n        <div class=\"eco-tool__metric-value\" id=\"eco-half-dec-7e42a\">\u2014<\/div>\n        <div class=\"eco-tool__metric-sub\">Lost due to decay<\/div>\n      <\/div>\n    <\/div>\n\n    <div class=\"eco-tool__card eco-tool__card--wide\">\n      <div class=\"eco-tool__metric-label\">Half-lives passed<\/div>\n      <div class=\"eco-tool__metric-value\" id=\"eco-half-count-7e42a\">\u2014<\/div>\n      <div class=\"eco-tool__metric-sub eco-tool__muted\">\n        Remaining fraction = (1\/2)<sup>t \/ T\u00bd<\/sup>\n      <\/div>\n    <\/div>\n\n    <p class=\"eco-tool__note\">\n      This model assumes ideal exponential decay without external influences.\n    <\/p>\n  <\/div>\n<\/div>\n\n<script>\n(function(){\n  const S=\"7e42a\";\n  const el=id=>document.getElementById(id+\"-\"+S);\n\n  const hl=el(\"eco-half-hl\");\n  const t=el(\"eco-half-time\");\n  const init=el(\"eco-half-init\");\n\n  const rem=el(\"eco-half-rem\");\n  const remp=el(\"eco-half-remp\");\n  const dec=el(\"eco-half-dec\");\n  const cnt=el(\"eco-half-count\");\n\n  const calcBtn=el(\"eco-half-calc\");\n  const resetBtn=el(\"eco-half-reset\");\n  const resEl=el(\"eco-half-result\");\n  const errEl=el(\"eco-half-error\");\n\n  function fmt(n,d=2){return Number(n).toLocaleString(undefined,{maximumFractionDigits:d});}\n\n  function calculate(){\n    errEl.textContent=\"\";\n    const T=Number(hl.value);\n    const time=Number(t.value);\n    const N0=Number(init.value);\n\n    if(T<=0||time<0||N0<0){\n      errEl.textContent=\"Please enter valid positive values.\";\n      resEl.hidden=true;\n      return;\n    }\n\n    const k=time\/T;\n    const fraction=Math.pow(0.5,k);\n    const remaining=N0*fraction;\n    const decayed=N0-remaining;\n\n    rem.textContent=fmt(remaining);\n    remp.textContent=`${fmt(fraction*100,2)}% remaining`;\n    dec.textContent=fmt(decayed);\n    cnt.textContent=fmt(k,2);\n\n    resEl.hidden=false;\n  }\n\n  function reset(){\n    hl.value=30;\n    t.value=90;\n    init.value=100;\n    errEl.textContent=\"\";\n    resEl.hidden=true;\n  }\n\n  calcBtn.onclick=calculate;\n  resetBtn.onclick=reset;\n})();\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Radioactive Half-Life Calculator Calculate how much of a radioactive substance remains after a given time, using the concept of half-life. Half-life(time units) Example: years, days, seconds \u2014 unit doesn\u2019t matter.&hellip;<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":2354,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","footnotes":""},"_links":{"self":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2356"}],"collection":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2356"}],"version-history":[{"count":1,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2356\/revisions"}],"predecessor-version":[{"id":2357,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2356\/revisions\/2357"}],"up":[{"embeddable":true,"href":"https:\/\/science-x.net\/index.php?rest_route=\/wp\/v2\/pages\/2354"}],"wp:attachment":[{"href":"https:\/\/science-x.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}