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The specific heat capacity of a substance, usually denoted by or , is the heat capacity of a sample of the substance, divided by the mass of the sample: [10] = =, where represents the amount of heat needed to uniformly raise the temperature of the sample by a small increment .
The SI unit of heat capacity is joule per kelvin (J/K). Heat capacity is an extensive property. The corresponding intensive property is the specific heat capacity, found by dividing the heat capacity of an object by its mass. Dividing the heat capacity by the amount of substance in moles yields its molar heat capacity.
Molar specific heat capacity (isochoric) C nV = / J⋅K⋅ −1 mol −1: ML 2 T −2 Θ −1 N −1: Specific latent heat: L = / J⋅kg −1: L 2 T −2: Ratio of isobaric to isochoric heat capacity, heat capacity ratio, adiabatic index, Laplace coefficient
In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (C P) to heat capacity at constant volume (C V).
The heat capacity is = = . In general, consider the extensive variable X and intensive variable Y where X and Y form a pair of conjugate variables . In ensembles where Y is fixed (and X is allowed to fluctuate), then the average value of X will be: X = ± ∂ ln Z ∂ β Y . {\displaystyle \langle X\rangle =\pm {\frac {\partial \ln Z ...
In mathematics and physics, the heat equation is a certain ... is the specific heat capacity (at ... D.V. (1975), The heat equation, Pure and Applied ...
The corresponding expression for the ratio of specific heat capacities remains the same since the thermodynamic system size-dependent quantities, whether on a per mass or per mole basis, cancel out in the ratio because specific heat capacities are intensive properties. Thus:
Molar heat capacity of most elements at 25 °C is in the range between 2.8 R and 3.4 R: Plot as a function of atomic number with a y range from 22.5 to 30 J/mol K.. The Dulong–Petit law, a thermodynamic law proposed by French physicists Pierre Louis Dulong and Alexis Thérèse Petit, states that the classical expression for the molar specific heat capacity of certain chemical elements is ...