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Specific Heat (cs): The quantity of heat liberated or absorbed when the temperature of 1.00 gram of a substance falls or rises 1.00 C. Specific heat is temperature (and phase) dependent. Thus, one must know not only the substance but also the temperature range and whether a solid, liquid or gas is involved.
The SI unit for specific heat is \(J/(kg \times K)\) or \(J/(kg \times ^oC)\). (Recall that the temperature change \(\Delta T\) is the same in units of kelvin and degrees Celsius.) Values of specific heat must generally be measured, because there is no simple way to calculate them precisely.
Specific heat capacity cp is defined with the equation. c. . . h . T . . p. (2.2) Equations (2.1) and (2.2) result in. cp = cp (T,p). (2.3) Specific volume v is similarly dependent on temperature and pressure. v = v (T,p). (2.4) Equation (2.4) is called the equation of state for a substance.
Heat Capacity The heat capacity of an object is the energy transfer by heating per unit tem-perature change. That is, C = Q 4T: In this expression, we will frequently put subscripts on C, Cp; or Cv for instance, to denote the conditions under which the heat capacity has been determined.
Einstein’s Theory of Specific Heats. The law of Dulong and Petit states that the molar heat capacity at constant volume CV for all solids is equal to 3R, where R is the gas constant. Obtained empirically in the early nineteenth century, it was easily derived later from the equipartition theorem.
Define heat capacity and specific heat capacity and differentiate between the two terms ; Deduce which substance will have greatest temperature changed based on specific heat capacities ; Calculate unknown variables based on known variables using the specific heat equation
Heat capacity is the increment in energy required to change the temperature of some quantity of matter. Experiments show that CV depends on temperature, in general. CV ~ T3 as T → 0. Figure on right is the heat capacity of diamond. Figure from Philip Hofmann online resources.
