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A polytropic process is a thermodynamic process that obeys the relation: = where p is the pressure, V is volume, n is the polytropic index, and C is a constant. The polytropic process equation describes expansion and compression processes which include heat transfer.
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).
Specific heat capacity ... The ideal gas law, also called the general gas equation, ... Polytropic process: P V n: p 2 /p 1: p 2 = p 1 (p 2 /p 1)
Specifically, the polytropic gas is a gas for which the specific heat is constant. [2] [3] The equation of state of a polytropic fluid is general enough that such idealized fluids find wide use outside of the limited problem of polytropes.
Specific heat capacity often varies with temperature, and is different for each state of matter. Liquid water has one of the highest specific heat capacities among common substances, about 4184 J⋅kg −1 ⋅K −1 at 20 °C; but that of ice, just below 0 °C, is only 2093 J⋅kg −1 ⋅K −1.
It also allows us to determine the specific volume of a saturated vapor and liquid at that provided temperature. In the equation below, represents the specific latent heat, represents temperature, and represents the change in specific volume. [3]
Becker–Morduchow–Libby solution. Two assumptions has to be made to facilitate explicit integration of the third equation. First, assume that the gas is ideal (polytropic since we shall assume constant values for the specific heats) in which case the equation of state is / = / and further =, where is the specific heat at constant pressure and is the specific heat ratio.
Polytropic; Free expansion; ... is the specific heat capacity at ... This equation mispredicts the specific heat capacity of water but few simple alternatives are ...