Heat Capacity Calculator
Calculate heat capacity C = Q/ΔT and relate to specific heat capacity c = C/m.
What Is Heat Capacity Calculator?
The formula Calculate heat capacity C = Q/ΔT and relate to specific heat capacity c = C/m., derives directly from fundamental physics principles.
Understanding this relationship enables both analytical calculation and intuitive reasoning about physical systems.
Applications span multiple fields of science and engineering. This calculator handles the arithmetic while you focus on the physics.
Ensure inputs are in SI units for correct results.
Formula Reference Table
| Solve For | Formula | Notes |
|---|---|---|
| Heat capacity | C = Q/ΔT | J/K (for specific object) |
| Specific heat | c = C/m | J/(kg·K); per unit mass |
| Heat from C | Q = C · ΔT | J |
| Temperature change | ΔT = Q/C | °C or K |
| Molar heat capacity | C_m = c · M_molar | J/(mol·K) |
| Calorimetry | Q_released = Q_absorbed | Conservation in closed system |
3 Worked Examples
500 g water heats from 20°C to 45°C. C = mc = 0.5×4186 = 2093 J/K.
- Q = C×ΔT = 2093 × 25 = 52,325 J = 52.3 kJ
A 200 g copper block (c = 385 J/kg·K). C = 0.2×385 = 77 J/K.
- To raise 50°C: Q = 77 × 50 = 3,850 J = 3.85 kJ
10,000 J raises object by 40 K.
- C = Q/ΔT = 10,000/40 = 250 J/K
- If mass = 0.5 kg: c = 250/0.5 = 500 J/(kg·K) → aluminum!
Real-World Applications
Common Mistakes to Avoid
Use SI.
Check geometry/conditions.
Formula assumes ideal conditions.
Check conventions.
Verify squared/sqrt terms.
Frequently Asked Questions
Related Physics Calculators
Formula Explorer connections
Interpretation: This formula tracks heat, temperature, work, entropy or transport in a thermodynamic system. Assumption: Use absolute temperature where required and consistent energy units. Constant properties, equilibrium, ideal gases or negligible losses may be assumed.