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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 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 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
where P is pressure, V is volume, and γ is the adiabatic index or heat capacity ratio defined as γ = C P C V = f + 2 f . {\displaystyle \gamma ={\frac {C_{P}}{C_{V}}}={\frac {f+2}{f}}.} Here C P is the specific heat for constant pressure, C V is the specific heat for constant volume, and f is the number of degrees of freedom (3 for a ...
1.3.3 Calculating C p and C V for an ideal gas. ... is the heat capacity ratio (which can be calculated by knowing the number of degrees of freedom of the gas molecule).
The method proceeds by calculating the heat capacity rates (i.e. mass flow rate multiplied by specific heat capacity) and for the hot and cold fluids respectively. To determine the maximum possible heat transfer rate in the heat exchanger, the minimum heat capacity rate must be used, denoted as C m i n {\displaystyle \ C_{\mathrm {min} }} :
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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 ...