H

Heat Capacity

C_p = q/(mΔT) (at constant P); C_v = q/(mΔT) (at constant V)
Quick Reference
Formula / NotationC_p = q/(mΔT) (at constant P); C_v = q/(mΔT) (at constant V)
Also Known AsCp, Cv, specific heat, molar heat capacity, thermal capacity

What is Heat Capacity?

The amount of heat energy required to raise the temperature of a substance by 1°C (or 1 K). Specific heat capacity is per unit mass (J/g·°C). Molar heat capacity is per mole. Water has an unusually high specific heat capacity (4.18 J/g·°C), making it an excellent thermal regulator.

Formula & Notation

C_p = q/(mΔT) (at constant P); C_v = q/(mΔT) (at constant V)

Other Names / Synonyms: Cp, Cv, specific heat, molar heat capacity, thermal capacity

Properties & Characteristics

Heat capacity is the amount of heat required to raise the temperature of a substance by 1°C (or 1 K). Molar heat capacity (Cm, J/mol·K) is per mole; specific heat capacity (c, J/g·K or J/kg·K) is per unit mass. At constant pressure, Cp is measured (includes work term); at constant volume, Cv is measured. For an ideal monatomic gas: Cv,m = (3/2)R; Cp,m = (5/2)R; Cp − Cv = R. Water has a high specific heat (4.184 J/g·K), making it a good coolant.

Uses & Applications

Heat capacity data is used in: reactor thermal design (calculating temperature rises in exothermic reactions), calorimetry, thermodynamic calculations (ΔH via Kirchhoff's law), climate science (ocean heat capacity buffers temperature changes), and materials selection for thermal engineering applications.

Safety Information

High heat capacity of water and aqueous solutions means large energy is required to heat them — important in designing heating systems. Materials with low heat capacity (metals) can undergo rapid temperature rises from exothermic reactions, potentially triggering ignition.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Heat Capacity
Formula C_p = q/(mΔT) (at constant P); C_v = q/(mΔT) (at constant V)
Synonyms Cp, Cv, specific heat, molar heat capacity, thermal capacity

Frequently Asked Questions

The amount of heat energy required to raise the temperature of a substance by 1°C (or 1 K). Specific heat capacity is per unit mass (J/g·°C). Molar heat capacity is per mole. Water has an unusually high specific heat capacity (4.18 J/g·°C), making it an excellent thermal regulator.

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