Specific Heat Calculator
Q = mcΔT
- Heat energy
- 41860 J
How to Use the Specific Heat Calculator
Specific heat capacity measures how much energy a substance must absorb to raise one kilogram by one degree Celsius (or one kelvin — the increment is identical). Water's unusually high specific heat stabilizes coastal climates and makes oceans enormous thermal reservoirs. Engineers use Q = mcΔT to size heaters, coolers, and thermal management for batteries and electronics.
Heat energy transfer:
Q = m × c × ΔT
Where Q is heat energy in joules, m is mass in kg, c is specific heat in J/(kg·K), and ΔT is temperature change in K or °C. For phase changes at constant temperature (melting ice, boiling water), energy goes into latent heat instead: Q = mL with latent heat L — a separate calculation from sensible heating.
Enter mass, substance (preset c) or custom c, and initial/final temperatures. Copper heats quickly (low c); water resists temperature swings (high c ≈ 4,186 J/(kg·K)). The same heat input produces smaller ΔT in water than in aluminum, explaining why hot pans cool faster than the soup they hold.
Worked example: Heating 2.0 kg water from 20°C to 80°C. ΔT = 60 K, c = 4,186 J/(kg·K). Q = 2.0 × 4,186 × 60 = 502,320 J ≈ 502 kJ. In food calories: 502,320 / 4,184 ≈ 120 kcal. Compare to 2.0 kg aluminum (c ≈ 897): Q = 2.0 × 897 × 60 = 107,640 J — under 22% of water's requirement for the same ΔT.
Pair with the thermal expansion calculator when heating also changes dimensions, the ideal gas law for gases at constant pressure, and calorie-to-joule conversion for nutritional or HVAC contexts. Laboratory calorimetry relies on this same relationship to infer reaction enthalpies.
Specific heat capacity of common substances
| Substance | c (J/kg·K) | State |
|---|---|---|
| Water | 4,186 | Liquid |
| Ice | 2,090 | Solid |
| Aluminum | 897 | Solid |
| Copper | 385 | Solid |
| Iron | 449 | Solid |
| Air (constant P) | 1,005 | Gas |
Frequently asked questions
Yes. A temperature change of 1 K equals 1°C. Absolute scales differ by 273.15 but increments match.
During melting or boiling, temperature can stay constant while Q = mL applies. This calculator handles sensible heat only.
Hydrogen bonding stores energy in intermolecular interactions, requiring more heat per degree than most liquids.