{"id":100127,"date":"2026-02-15T20:19:14","date_gmt":"2026-02-15T20:19:14","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100127"},"modified":"2026-07-12T12:27:01","modified_gmt":"2026-07-12T12:27:01","slug":"heater-power-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/pt\/calculators\/heater-power-calculator\/","title":{"rendered":"Sensible-Heating Energy &#038; Average-Power Calculator"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Documented Sensible-Heating Energy and Average-Power Calculator\",\"description\":\"Calculate ideal sensible heat and average useful\/input power from documented mass, average specific heat, temperature interval, time and efficiency basis.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/heater-power-calculator\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any (Web 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print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}.vc-doc-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:18px}.vc-wide{grid-column:1\/-1}.vc-result-note{font-size:13px;color:var(--vc-ink-secondary);margin:0}@media(max-width:600px){.vc-doc-grid{grid-template-columns:1fr}.vc-wide{grid-column:auto}}.vc-doc-grid{display:grid;grid-template-columns:repeat(2,minmax(0,1fr));gap:18px}.vc-wide{grid-column:1\/-1}.vc-formula-box{font-family:var(--vc-mono);background:var(--vc-surface-alt);border:1px solid var(--vc-border-light);border-radius:6px;padding:14px;margin:12px 0}.vc-result-note{font-size:13px;color:var(--vc-ink-secondary);margin:0}@media(max-width:600px){.vc-doc-grid{grid-template-columns:1fr}.vc-wide{grid-column:auto}}<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-sensible-heat\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">Lumped sensible heating with documented properties<\/p><h1 class=\"vc-header-title\">Sensible-Heating Energy &amp; Average-Power Calculator<\/h1><p class=\"vc-header-subtitle\">Calculate ideal sensible heat, average useful thermal power and input power using a documented mass, average specific heat, temperature interval, heating time and efficiency basis.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Q = mc\u0304\u0394T<\/span><span class=\"vc-badge\">P = Q\/t<\/span><span class=\"vc-badge\">No phase change<\/span><\/div><\/header>\r\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\"><div class=\"vc-doc-grid\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-id\">Project \/ heating case<\/label><input class=\"vc-input\" id=\"vc-id\" type=\"text\" maxlength=\"220\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass-source\">Mass source \/ revision<\/label><input class=\"vc-input\" id=\"vc-mass-source\" type=\"text\" maxlength=\"300\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass-unit\">Mass unit<\/label><select class=\"vc-select\" id=\"vc-mass-unit\"><option value=\"\">Select\u2026<\/option><option value=\"kg\">kg<\/option><option value=\"g\">g<\/option><option value=\"lb\">lb (avoirdupois mass)<\/option><\/select><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-mass\">Heated mass m<\/label><input class=\"vc-input\" id=\"vc-mass\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field vc-wide\"><label class=\"vc-label\" for=\"vc-cp-source\">Average specific-heat source, composition\/phase and valid temperature range<\/label><input class=\"vc-input\" id=\"vc-cp-source\" type=\"text\" maxlength=\"450\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-cp\">Average specific heat c\u0304 <span class=\"vc-label-hint\">(J\/(kg\u00b7K))<\/span><\/label><input class=\"vc-input\" id=\"vc-cp\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-ti\">Initial temperature T\u1d62 <span class=\"vc-label-hint\">(\u00b0C)<\/span><\/label><input class=\"vc-input\" id=\"vc-ti\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-tf\">Final temperature T\ud835\udc87 <span class=\"vc-label-hint\">(\u00b0C)<\/span><\/label><input class=\"vc-input\" id=\"vc-tf\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-time-unit\">Heating-time unit<\/label><select class=\"vc-select\" id=\"vc-time-unit\"><option value=\"\">Select\u2026<\/option><option value=\"s\">s<\/option><option value=\"min\">min<\/option><option value=\"h\">h<\/option><\/select><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-time\">Heating time t<\/label><input class=\"vc-input\" id=\"vc-time\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-eff\">Documented overall efficiency \u03b7 <span class=\"vc-label-hint\">(%)<\/span><\/label><input class=\"vc-input\" id=\"vc-eff\" type=\"text\" inputmode=\"decimal\" maxlength=\"80\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-eff-source\">Efficiency\/loss basis and revision<\/label><input class=\"vc-input\" id=\"vc-eff-source\" type=\"text\" maxlength=\"400\"><\/div><\/div><p id=\"vc-error\" role=\"alert\" style=\"margin:.75rem 0 0;color:#b42318\"><\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Applicability gate:<\/strong> this lumped model assumes one phase and a representative average specific heat over T\u1d62\u2026T\ud835\udc87. It excludes latent heat, reactions, evaporation, vessel\/fixtures, non-uniform temperature, continuous flow and time-varying heat loss unless the documented efficiency basis explicitly accounts for them.<\/p><\/div><\/form>\r\n<div class=\"vc-results\" id=\"vc-results\" aria-live=\"polite\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">Documented sensible-heating result<\/h2><button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\">Copy<\/button><\/div><div class=\"vc-result-grid\"><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Normalized mass \/ \u0394T<\/div><div class=\"vc-rcard-value\" id=\"vc-r-state\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Useful sensible heat Q<\/div><div class=\"vc-rcard-value\" id=\"vc-r-q\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Average useful thermal power<\/div><div class=\"vc-rcard-value\" id=\"vc-r-puse\">\u2014<\/div><\/div><div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Average input power by entered \u03b7<\/div><div class=\"vc-rcard-value\" id=\"vc-r-pin\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Input minus useful allocation<\/div><div class=\"vc-rcard-value\" id=\"vc-r-loss\">\u2014<\/div><\/div><\/div><p class=\"vc-result-note\" id=\"vc-r-note\"><\/p><\/div><\/div>\r\n<div class=\"vc-section vc-open\"><button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Equations, sources and boundary<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><h3>Implemented general thermodynamics<\/h3><div class=\"vc-formula-box\">\u0394T = T\ud835\udc87\u2212T\u1d62<br>Q = mc\u0304\u0394T<br>P<sub>useful<\/sub> = Q\/t<br>P<sub>input<\/sub> = P<sub>useful<\/sub>\/\u03b7<\/div><p>m is kilograms, c\u0304 is an average J\/(kg\u00b7K) value valid over the entered interval, \u0394T has the same numerical magnitude in kelvins and degrees Celsius, Q is joules, t is seconds and \u03b7 is a documented dimensionless overall efficiency. These are general energy\/rate relations, not a heater-selection standard.<\/p><h3>Source and limitations<\/h3><p><a href=\"https:\/\/openstax.org\/books\/physics\/pages\/11-2-heat-specific-heat-and-heat-transfer\" target=\"_blank\" rel=\"noopener\">OpenStax Physics<\/a> gives Q=mc\u0394T and notes that c depends on material and phase. Its <a href=\"https:\/\/openstax.org\/books\/chemistry\/pages\/10-3-phase-transitions\" target=\"_blank\" rel=\"noopener\">phase-transition discussion<\/a> states that this relation does not cover matter undergoing a change of state. For strongly temperature-dependent c, use Q=m\u222bc(T)dT or a validated property model.<\/p><h3>Why the former presets\/loss factor were removed<\/h3><p>The former page changed one volume field between litres for liquids and cubic metres for air, inserted generic water\/air\/oil\/glycol density and c values, and always added 15% as \u201cwith losses\u201d. It also recommended universal 10\u201350% safety additions. Property values vary with temperature, composition and pressure, and an efficiency \u03b7 is not equivalent to multiplying useful power by 1.15.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Not equipment sizing:<\/strong> verify electrical supply, controls, maximum surface\/film temperature, heat flux, circulation, vessel duty, startup\/transient cases, overtemperature protection and applicable equipment\/process codes. The calculated average input power is only as valid as the entered mass, c\u0304 and efficiency model.<\/p><\/div><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>Documented lumped sensible-heating estimate only. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';function $(id){return document.getElementById(id)}var km={kg:1,g:.001,lb:.45359237},kt={s:1,min:60,h:3600};var map={sh_id:'vc-id',sh_mass_source:'vc-mass-source',sh_mass_unit:'vc-mass-unit',sh_mass:'vc-mass',sh_cp_source:'vc-cp-source',sh_cp:'vc-cp',sh_ti:'vc-ti',sh_tf:'vc-tf',sh_time_unit:'vc-time-unit',sh_time:'vc-time',sh_eff:'vc-eff',sh_eff_source:'vc-eff-source'};function num(raw){var s=String(raw).trim().replace(',','.');if(s.length>80||!\/^[-+]?(?:\\d+(?:\\.\\d*)?|\\.\\d+)(?:[eE][+-]?\\d+)?$\/.test(s))return NaN;return Number(s)}function fmt(v){if(!Number.isFinite(v))return'\u2014';if(v===0)return'0';return Number(v.toPrecision(12)).toString()}function power(v){return fmt(v)+' W \/ '+fmt(v\/1000)+' kW'}function clear(){['vc-r-state','vc-r-q','vc-r-puse','vc-r-pin','vc-r-loss'].forEach(function(i){$(i).textContent='\u2014'});$('vc-r-note').textContent='';$('vc-results').classList.remove('vc-visible')}function fail(m){clear();$('vc-error').textContent=m}function setUrl(){var u=new URL(location);Object.keys(map).forEach(function(q){var v=$(map[q]).value.trim();if(v)u.searchParams.set(q,v);else u.searchParams.delete(q)});history.replaceState(null,'',u.toString())}function calc(){setUrl();var x={};Object.keys(map).forEach(function(q){x[q]=$(map[q]).value.trim()});var any=Object.keys(x).some(function(q){return x[q]});if(!any){$('vc-error').textContent='';clear();return}if(!Object.keys(map).every(function(q){return x[q]})){fail('Enter every case, source, unit, temperature, time and efficiency field.');return}if(!(x.sh_mass_unit in km)||!(x.sh_time_unit in kt)){fail('Select valid mass and time units.');return}var mv=num(x.sh_mass),cp=num(x.sh_cp),ti=num(x.sh_ti),tf=num(x.sh_tf),tv=num(x.sh_time),ev=num(x.sh_eff);if(![mv,cp,ti,tf,tv,ev].every(Number.isFinite)){fail('All numerical fields must be complete finite decimal numbers.');return}if(mv<=0||cp<=0||tv<=0){fail('Mass, average specific heat and time must be strict positive numbers.');return}if(!(tf>ti)){fail('Final temperature must be greater than initial temperature for this heating model.');return}if(ev<=0||ev>100){fail('Documented efficiency must be greater than 0% and no greater than 100%.');return}var m=mv*km[x.sh_mass_unit],t=tv*kt[x.sh_time_unit],dt=tf-ti,eta=ev\/100;if(![m,t,dt,cp,eta].every(function(v){return Number.isFinite(v)&&Math.abs(v)<=1e30})){fail('Normalized inputs must be finite and no greater than 10\u00b3\u2070 in magnitude.');return}var q=m*cp*dt,puse=q\/t,pin=puse\/eta,loss=pin-puse;if(![q,puse,pin,loss].every(Number.isFinite)||Math.max(q,puse,pin,loss)>1e100){fail('Heating result exceeds the finite numerical range.');return}$('vc-error').textContent='';$('vc-r-state').textContent=fmt(m)+' kg \/ '+fmt(dt)+' K';$('vc-r-q').textContent=fmt(q)+' J \/ '+fmt(q\/1e6)+' MJ \/ '+fmt(q\/3.6e6)+' kWh';$('vc-r-puse').textContent=power(puse);$('vc-r-pin').textContent=power(pin);$('vc-r-loss').textContent=power(loss);$('vc-r-note').textContent='Case: '+x.sh_id+' | Mass: '+x.sh_mass_source+' | c\u0304: '+x.sh_cp_source+' | \u03b7: '+x.sh_eff_source+'. 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