{"id":100075,"date":"2026-02-15T20:15:14","date_gmt":"2026-02-15T20:15:14","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100075"},"modified":"2026-07-12T01:30:38","modified_gmt":"2026-07-12T01:30:38","slug":"dew-point-calculator","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/sk\/calculators\/dew-point-calculator\/","title":{"rendered":"Dew Point over Water | WMO-No. 8 Calculator"},"content":{"rendered":"\r\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Dew Point over Water \\u2014 WMO-No. 8\",\"description\":\"Calculate water dew point from air temperature and relative humidity using the WMO-No. 8 water saturation equation,with range enforcement and optional frost-point interpretation.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/dew-point-calculator\/\",\"applicationCategory\":\"Meteorological 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.vc-faq-chevron{transform:rotate(180deg)}.vc-faq-a{max-height:0;overflow:hidden;transition:max-height .35s}.vc-faq-item.vc-open .vc-faq-a{max-height:1200px}.vc-faq-a-inner{padding:14px 16px;border-top:1px solid var(--vc-border-light);font-size:14px;color:var(--vc-ink-secondary)}.vc-faq-a-inner p{margin:0 0 8px}.vc-faq-a-inner p:last-child{margin-bottom:0}.vc-related{display:flex;flex-wrap:wrap;gap:10px;margin-top:16px}.vc-related-link{display:inline-block;padding:8px 16px;font-family:var(--vc-font);font-size:13px;font-weight:600;background:var(--vc-surface-alt);color:var(--vc-ink-secondary);border:1px solid var(--vc-border);border-radius:var(--vc-radius);text-decoration:none;transition:all .15s}.vc-related-link:hover{border-color:var(--vc-accent);color:var(--vc-accent);background:var(--vc-accent-light)}.vc-promo{margin-top:24px;padding:20px;background:linear-gradient(135deg,var(--vc-accent-light),var(--vc-surface));border:1px solid var(--vc-border);border-radius:var(--vc-radius-lg);display:flex;align-items:center;gap:16px}.vc-promo-text{flex:1;font-size:14px;color:var(--vc-ink-secondary)}.vc-promo-text strong{color:var(--vc-ink)}.vc-promo-link{padding:8px 20px;font-size:13px;font-weight:700;color:#fff;background:var(--vc-accent);border-radius:var(--vc-radius);text-decoration:none;white-space:nowrap;transition:background .15s}.vc-promo-link:hover{background:var(--vc-accent-hover)}.vc-footer{text-align:center;padding:32px 16px;font-size:13px;color:var(--vc-ink-muted)}.vc-footer a{color:var(--vc-accent);text-decoration:none}.vc-footer a:hover{text-decoration:underline}.vc-footer-links{margin-top:8px;font-size:12px}.vc-footer-links a{margin:0 8px}@media 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}}<\/style>\r\n<div class=\"vc-calculator\" id=\"vc-dew\"><header class=\"vc-header\"><p class=\"vc-header-eyebrow\">WMO-No. 8 humidity equations<\/p><h1 class=\"vc-header-title\">Dew Point over Water<\/h1><p class=\"vc-header-subtitle\">Calculate thermodynamic dew-point temperature from dry-bulb temperature and relative humidity with respect to water. The WMO water and ice formula ranges are enforced\u2014no extrapolated result is shown.<\/p><div class=\"vc-badges\"><span class=\"vc-badge\">Water \u221245\u202660\u00b0C<\/span><span class=\"vc-badge\">Ice \u221265\u20260\u00b0C<\/span><span class=\"vc-badge\">RH with respect to water<\/span><\/div><\/header>\r\n<div class=\"vc-card\"><form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\"><div class=\"vc-form-grid\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-unit\">Temperature input unit<\/label><select class=\"vc-select\" id=\"vc-unit\"><option value=\"c\">Celsius (\u00b0C)<\/option><option value=\"f\">Fahrenheit (\u00b0F)<\/option><\/select><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-T\">Dry-bulb temperature t <span class=\"vc-label-hint\" id=\"vc-T-range\">(\u221245\u202660\u00b0C)<\/span><\/label><input class=\"vc-input\" id=\"vc-T\" type=\"text\" inputmode=\"decimal\"><\/div><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-RH\">Relative humidity U<sub>w<\/sub> <span class=\"vc-label-hint\">(&gt;0\u2026100%; with respect to water)<\/span><\/label><input class=\"vc-input\" id=\"vc-RH\" type=\"text\" inputmode=\"decimal\"><\/div><\/div><div style=\"padding:0 24px 24px\"><div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-source\">Temperature\/RH measurement or data source and conditions<\/label><input class=\"vc-input\" id=\"vc-source\" type=\"text\" maxlength=\"300\"><\/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>Scope:<\/strong> WMO evaluates relative humidity below 0\u00b0C with respect to water. Dew point and frost point are different quantities. This calculator does not calculate wet-bulb temperature and does not claim ISO compliance.<\/p><\/div><\/div><\/form><div class=\"vc-results\" id=\"vc-results\"><div class=\"vc-results-head\"><h2 class=\"vc-results-title\">WMO-range 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 vc-rcard-primary\"><div class=\"vc-rcard-label\">Dew point over water<\/div><div class=\"vc-rcard-value\" id=\"vc-r-Td\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Dew point conversion<\/div><div class=\"vc-rcard-value\" id=\"vc-r-Td-alt\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Dew-point depression t\u2212t<sub>d<\/sub><\/div><div class=\"vc-rcard-value\" id=\"vc-r-dep\">\u2014<\/div><\/div><div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Frost point over ice<\/div><div class=\"vc-rcard-value\" id=\"vc-r-Tf\">\u2014<\/div><\/div><\/div><p id=\"vc-r-note\" style=\"margin:0;color:var(--vc-ink-secondary)\"><\/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, definitions and limits<\/span><\/span><\/button><div class=\"vc-section-body\"><div class=\"vc-section-inner vc-theory\"><div class=\"vc-formula-box\">\u03b3 = 17.62t\/(243.12+t) + ln(U<sub>w<\/sub>\/100)<\/div><div class=\"vc-formula-box\">t<sub>d<\/sub> = 243.12\u03b3\/(17.62\u2212\u03b3) &nbsp; [water: \u221245\u202660\u00b0C]<\/div><div class=\"vc-formula-box\">t<sub>f<\/sub> = 272.62\u03b3\/(22.46\u2212\u03b3) &nbsp; [ice: \u221265\u20260\u00b0C]<\/div><p><a href=\"https:\/\/community.wmo.int\/site\/knowledge-hub\/programmes-and-initiatives\/instruments-and-methods-of-observation-programme-imop\/guide-instruments-and-methods-of-observation-wmo-no-8\" target=\"_blank\" rel=\"noopener\">WMO-No. 8, Guide to Instruments and Methods of Observation<\/a>, Volume I, Chapter 4, Annex 4.B gives e<sub>w<\/sub>(t)=6.112 exp[17.62t\/(243.12+t)] for water from \u221245 to 60\u00b0C and e<sub>i<\/sub>(t)=6.112 exp[22.46t\/(272.62+t)] for ice from \u221265 to 0\u00b0C. <a href=\"https:\/\/library.wmo.int\/viewer\/68695\/?offset=3\" target=\"_blank\" rel=\"noopener\">WMO e-Library chapter viewer<\/a>.<\/p><p>The <a href=\"https:\/\/cloudatlas.wmo.int\/en\/glossary.html\" target=\"_blank\" rel=\"noopener\">WMO International Cloud Atlas glossary<\/a> defines dew point with respect to a water surface and relative humidity as observed vapour pressure divided by saturation vapour pressure at the same temperature and pressure.<\/p><div class=\"vc-warning-box\"><p style=\"margin:0\"><strong>Corrections to the former calculator:<\/strong> t\u2212t<sub>d<\/sub> is dew-point depression, not wet-bulb depression. Wet-bulb temperature is a separate pressure-dependent psychrometric quantity. The former vapour-pressure result mixed a second coefficient set and omitted the moist-air enhancement factor, so it has been removed. Comfort bands, presets and unsourced FAQ claims were also removed.<\/p><\/div><\/div><\/div><\/div><footer class=\"vc-footer\"><p>\u00a9 2024\u20132026 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a><\/p><p>WMO-No. 8 water\/ice humidity equations. Scientific review: July 2026.<\/p><\/footer><\/div>\r\n<script>(function(){'use strict';var unit='c',AW=17.62,BW=243.12,AI=22.46,BI=272.62;function $(i){return document.getElementById(i)}function raw(v){var s=String(v).trim().replace(\/\\s+\/g,'');if(!\/^[+-]?(?:\\d+(?:[.,]\\d*)?|[.,]\\d+)$\/.test(s))return NaN;return Number(s.replace(',','.'))}function fmt(x){var y=Math.round(x*1e9)\/1e9;if(Math.abs(x-y)<=2e-12*Math.max(1,Math.abs(x)))x=y;return Number(x.toPrecision(10)).toString()}function clearResult(){['vc-r-Td','vc-r-Td-alt','vc-r-dep','vc-r-Tf'].forEach(function(id){$(id).textContent='\u2014'});$('vc-r-note').textContent='';$('vc-results').classList.remove('vc-visible')}function toC(x){return unit==='c'?x:(x-32)*5\/9}function fromC(x,u){return u==='c'?x:x*9\/5+32}function convert(next){if(next===unit)return;var x=raw($('vc-T').value);if(Number.isFinite(x))$('vc-T').value=fmt(fromC(toC(x),next));unit=next}function calc(){var input=raw($('vc-T').value),rh=raw($('vc-RH').value),source=$('vc-source').value.trim(),t=toC(input),any=Array.from(document.querySelectorAll('#vc-form input')).some(function(x){return x.value.trim()});$('vc-T-range').textContent=unit==='c'?'(\u221245\u202660\u00b0C)':'(\u221249\u2026140\u00b0F)';if(!Number.isFinite(t)||t < -45||t > 60||!Number.isFinite(rh)||rh<=0||rh>100||!source){clearResult();$('vc-error').textContent=any?'Enter a temperature within the displayed range, RH > 0 to 100%, and the measurement\/data basis.':'';return}var g=AW*t\/(BW+t)+Math.log(rh\/100),td=BW*g\/(AW-g);if(!Number.isFinite(td)||td < -45-1e-10||td > 60+1e-10||td>t+1e-10){clearResult();$('vc-error').textContent='This temperature\/RH combination places the dew point outside the WMO water-formula range (\u221245\u202660\u00b0C). 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