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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 first limb is an isochoric adiabatic work process increasing the system's internal energy; the second, an isochoric and workless heat transfer returning the system to its original state. Accordingly, Rankine measured quantity of heat in units of work, rather than as a calorimetric quantity. [ 18 ]
Ratio of isobaric to isochoric heat capacity, heat capacity ratio, adiabatic index, Laplace coefficient ... thermal current, thermal/heat flux, thermal power transfer P
The heat capacity ratio, or adiabatic index, is the ratio / of the heat capacity at constant pressure to heat capacity at constant volume. It is sometimes also known as the isentropic expansion factor.
For a thermally perfect diatomic gas, the molar specific heat capacity at constant pressure (c p) is 7 / 2 R or 29.1006 J mol −1 deg −1. The molar heat capacity at constant volume (c v) is 5 / 2 R or 20.7862 J mol −1 deg −1. The ratio of the two heat capacities is 1.4. [4] The heat Q required to bring the gas from 300 to 600 K is
Adiabatic : No energy transfer as heat during that part of the cycle (=). Energy transfer is considered as work done by the system only. Isothermal : The process is at a constant temperature during that part of the cycle (=, =). Energy transfer is considered as heat removed from or work done by the system.
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Adiabatic work is done without matter transfer and without heat transfer. In principle, in thermodynamics, for a process in a closed system, the quantity of heat transferred is defined by the amount of adiabatic work that would be needed to effect the change in the system that is occasioned by the heat transfer.