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Heat capacity or thermal capacity is a physical property of matter, defined as the amount of heat to be supplied to an object to produce a unit change in its temperature. [1] The SI unit of heat capacity is joule per kelvin (J/K).
A fundamental solution, also called a heat kernel, is a solution of the heat equation corresponding to the initial condition of an initial point source of heat at a known position. These can be used to find a general solution of the heat equation over certain domains; see, for instance, ( Evans 2010 ) for an introductory treatment.
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 .
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
The SI unit of volumetric heat capacity is joule per kelvin per cubic meter, J⋅K −1 ⋅m −3. The volumetric heat capacity can also be expressed as the specific heat capacity (heat capacity per unit of mass, in J⋅K −1 ⋅kg −1) times the density of the substance (in kg/L, or g/mL). [1] It is defined to serve as an intensive property.
Most writers use it as a synonym for heat capacity, the ability of a body to store thermal energy. It is typically referred to by the symbol C th, and its SI unit is J/K or J/°C (which are equivalent). However: Christoph Reinhart at MIT describes thermal mass as its volume times its volumetric heat capacity. [1]
This extra heat amounts to about 40% more than the previous amount added. In this example, the amount of heat added with a locked piston is proportional to C V, whereas the total amount of heat added is proportional to C P. Therefore, the heat capacity ratio in this example is 1.4.
The laws of thermodynamics imply the following relations between these two heat capacities (Gaskell 2003:23): = = Here is the thermal expansion coefficient: = is the isothermal compressibility (the inverse of the bulk modulus):