Specific Heat Calculator

Calculate specific heat capacity from calorimetry data c = q divided by m times delta T. Identify unknown metals by comparing to known values. Solve for q, m, or delta T.

🌡️ Thermochemistry📐 c = q/(mΔT)🧪 Chemistry
Heat q (J)
Mass m (g)
Temperature change ΔT (°C)
Please enter valid values.

Formula & Reference

VariableSymbolFormulaUnits
Specific Heat CalculatorSee formulac = q/(mΔT)J/g·°C

Step-by-Step Examples

Example 1
Identify Metal

Hot metal (150 g) drops from 100 C into 200 g water at 25 C. Final T = 27.8 C.

  • q(water) = 200x4.184x2.8 = 2343 J absorbed
  • q(metal) = -2343 J (heat released by metal)
  • c(metal) = 2343/(150x72.2) = 0.216 J/g-C
  • Closest match: Silver (0.235) or Tin (0.228)
✓ c ~ 0.216 J/g-C (likely silver or tin)
Example 2
Alloy Sample

500 J heats 50 g alloy sample by 20.0 C.

  • c = 500/(50x20.0) = 0.500 J/g-C
✓ c = 0.500 J/g-C
Example 3
Temperature Rise

200 g water, q = 4184 J added. What is delta-T?

  • q = mcdT: 4184 = 200x4.184xdT
  • dT = 4184/836.8 = 5.00 C
✓ Delta-T = 5.00 C

Real-World Applications

🌡️
Metal Identification
Specific heat is characteristic of each metal; allows identification from calorimetry.
🏭
Heat Management
Engineering cooling systems requires knowing specific heat of materials.
🍿
Food Technology
Specific heat of foods determines heating and cooling times in processing.
☀️
Solar Thermal
High specific heat materials (water, molten salt) store solar energy efficiently.

Common Mistakes to Avoid

⚠️
Heat lost by metal = heat gained by water

In metal identification: q(metal) = -q(water). Metal loses heat; water gains it. Sign flip is critical.

⚠️
Mass of substance being characterized

c = q/(mxdT) where m is the mass of the sample whose specific heat you want.

⚠️
Sign of dT

If substance cooled: dT negative. If heated: dT positive. Consistent signs throughout.

Frequently Asked Questions

What are specific heats of common substances? ▾
Water: 4.184, ethanol: 2.44, ice: 2.09, aluminum: 0.900, iron: 0.449, copper: 0.385, gold: 0.129 J/g-C.
Why does water have such high specific heat? ▾
Strong hydrogen bonding requires lots of energy to speed up molecular motion. Also, small molecule mass means many molecules per gram.
What is Dulong-Petit Law? ▾
For solid metals, molar heat capacity ~ 3R = 24.9 J/mol-C. So c ~ 25/M. Works well for heavy metals at room temperature.
How do I find specific heat experimentally? ▾
Heat metal to known T, drop in water, measure final T. q(metal)=-q(water): m1c1(Tf-Ti1) = -m2c2(Tf-Ti2). Solve for c1.
What is heat capacity of a calorimeter? ▾
Calorimeter absorbs some heat. Coffee cup: assumed negligible. Bomb calorimeter: calibrated by known combustion. Must include in precise work.

Related Chemistry Calculators

🌡️ Calorimetry⚗️ Heat of Solution🔥 Enthalpy🔥 Heat of Combustion🧪 Bond Energy

Formula Explorer connections

Interpretation: This relationship tracks energy transfer, state-function change or the balance between enthalpy and entropy in a chemical process. Assumption: Keep energy units compatible, use kelvin for absolute temperature, and match standard states and reaction stoichiometry. Thermodynamic favorability does not determine reaction speed.

Standard Enthalpy Calculator →Adiabatic Flame Temperature Calculator →Radical Stability and BDE Calculator →Chemistry Formula Explorer →