{
  "slug": "specific-heat",
  "title": "Specific Heat Calculator",
  "heading": "Heat Energy (Q = mcΔT) Calculator",
  "category": "math",
  "url": "https://www.revenuelab.fyi/toolbox/specific-heat",
  "summary": "Energy needed to change a material's temperature.",
  "description": "Heating water, sizing a boiler, or checking how much energy a temperature swing costs — all the same equation.",
  "formula": "Q = m × c × ΔT",
  "dateModified": "2026-09-30",
  "run_url": "https://www.revenuelab.fyi/api/public/calc?tool=specific-heat",
  "inputs": [
    {
      "id": "mass",
      "label": "Mass",
      "kind": "number",
      "hint": null,
      "default": 10,
      "unit": "kg",
      "min": 0,
      "max": null
    },
    {
      "id": "c",
      "label": "Specific heat",
      "kind": "number",
      "hint": "Water = 4186",
      "default": 4186,
      "unit": "J/kg·K",
      "min": 1,
      "max": null
    },
    {
      "id": "dt",
      "label": "Temperature change",
      "kind": "number",
      "hint": null,
      "default": 30,
      "unit": "K",
      "min": -500,
      "max": null
    }
  ],
  "outputs": [
    {
      "id": "kj",
      "label": "Energy (kJ)",
      "format": "decimal",
      "hint": null,
      "primary": true
    },
    {
      "id": "joules",
      "label": "Energy (J)",
      "format": "decimal",
      "hint": null,
      "primary": false
    },
    {
      "id": "kwh",
      "label": "Energy (kWh)",
      "format": "decimal",
      "hint": null,
      "primary": false
    },
    {
      "id": "btu",
      "label": "Energy (BTU)",
      "format": "decimal",
      "hint": null,
      "primary": false
    }
  ],
  "worked_example": {
    "inputs": [
      "Mass: 10 kg",
      "Specific heat: 4186 J/kg·K",
      "Temperature change: 30 K"
    ],
    "outputs": [
      "Energy (kJ): 1,255.8",
      "Energy (J): 1,255,800",
      "Energy (kWh): 0.3488",
      "Energy (BTU): 1,190.3"
    ]
  },
  "how_to": {
    "title": "How to use this",
    "steps": [
      "Enter mass (kg).",
      "Enter specific heat (J/kg·K) — Water = 4186.",
      "Enter temperature change (K).",
      "Read your energy (kj) on the right — it updates as you type.",
      "Hit Share to keep the scenario or send it to someone."
    ]
  },
  "scenarios": [
    {
      "name": "Conservative",
      "description": "Lower-end numbers — what if things land soft?",
      "values": {
        "mass": 6,
        "c": 2512,
        "dt": 18
      }
    },
    {
      "name": "Typical",
      "description": "Defaults — the most common real-world setup.",
      "values": {
        "mass": 10,
        "c": 4186,
        "dt": 30
      }
    },
    {
      "name": "Ambitious",
      "description": "Higher-end numbers — what if things really pop?",
      "values": {
        "mass": 16,
        "c": 6698,
        "dt": 48
      }
    }
  ],
  "limitations": [
    "Results are rounded for display; the underlying calculation keeps full precision.",
    "Very large or very small inputs may hit floating-point limits in the browser.",
    "Inputs outside the accepted range are clamped rather than rejected."
  ],
  "faq": [
    {
      "q": "How does the heat energy (q = mcδt) calculator work?",
      "a": "Heating water, sizing a boiler, or checking how much energy a temperature swing costs — all the same equation. The underlying maths is: Q = m × c × ΔT"
    },
    {
      "q": "What do I need to enter?",
      "a": "3 values: mass, specific heat, and temperature change. Each field starts with a sensible default, so you can change one number at a time and watch the result move."
    },
    {
      "q": "What does the energy (kj) result mean?",
      "a": "It is returned as a decimal number and updates live as you edit the inputs, so you can compare two or three versions of a scenario in a few seconds."
    },
    {
      "q": "Is this calculator free, and do I need an account?",
      "a": "Yes, it's free, and no account is required. Nothing you type is stored on our servers — the maths runs entirely in your browser."
    },
    {
      "q": "How accurate is the result?",
      "a": "It applies the standard formula exactly, so the arithmetic is precise. Results are rounded for display; the underlying calculation keeps full precision."
    },
    {
      "q": "Who is this tool for?",
      "a": "It's built for students, developers, and anyone who needs the answer right now without setting up a spreadsheet."
    }
  ],
  "related": [],
  "license": "CC-BY-4.0",
  "citation": "RevenueLab — Specific Heat Calculator (https://www.revenuelab.fyi/toolbox/specific-heat)"
}