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Physics · Ch 7 — Thermal Properties of Matter

Specific Heat Capacity of Solids and Liquids

7.6.1

Specific Heat Capacity of Solids and Liquids

If ΔQ\Delta Q is the heat absorbed or released by a substance of mass mm undergoing a temperature change ΔT\Delta T, its specific heat capacity is defined by

s=ΔQm ΔT— (7.26)s = \frac{\Delta Q}{m\,\Delta T} \quad \text{--- (7.26)}

so that if m=1 kgm=1\text{ kg} and ΔT=1 °C\Delta T = 1\,°\text{C}, then s=ΔQs = \Delta Q: specific heat capacity is the heat needed per unit mass to change temperature by one degree (1 °C or 1 K). Its SI unit is J kg−1K−1\text{J kg}^{-1}\text{K}^{-1} (or J/kg °C), and the CGS unit is erg/g °C or erg/g K. Specific heat capacity is essentially constant over ordinary temperature ranges (it depends only weakly on temperature, except close to very low temperatures).

If the amount of substance is expressed in moles μ\mu rather than mass mm, the analogous quantity is the molar specific heat:

C=ΔQμ ΔT— (7.27)C = \frac{\Delta Q}{\mu\,\Delta T} \quad \text{--- (7.27)} …

Table 7.3Table 7.3: Specific heat capacity of some substances at room temperature and atmospheric pressure

Substance | Specific heat capacity (J kg^-1 K^-1)

Steel | 120

Lead | 128

Gold | 129

Tungsten | 134.4

Silver | 234

Copper | 387

Iron | 448

Carbon | 506.5

Glass | 837

Aluminium | 903.0

Kerosene | 2118

Paraffin oil | 2130 …