ideal gas-2

ideal gas-2 - Ideal Gas Model For many gases, the ideal gas...

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Ideal Gas Model • For many gases, the ideal gas assumption is valid and the P-v-T relationship can be simplified by using the ideal gas equation of state: Pv=RT (Compressibility factor Z=1) • For an ideal gas, it can be shown that the specific internal energy u is a function of temperature only, u=u(T) • Accordingly, specific enthalpy is a function of temperature only, since h(T)=u(T)+pv=u(T)+RT • Physically, a gas can be considered ideal only when the intermolecular forces are weak. This usually happens in low pressure and high temperature ranges. c du dT c dh dT du Pv dT du RT dT cR cc R vP v Pv == = + = + =+ , () ( )
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Ideal Gas Model(cont.) • Specific ratio k=c p /c v , c p =c v +R 2 21 1 2 1 () , 11 ( ) , integrate from 1 to 2 u(T ) ( ) ( ) , similarly h(T ) ( ) ( ) Pv v v P kR R cT c T kk du c T dT uT c TdT hT c T dT == −− = −= • In some cases, the temperature dependence of the specific heat can be written in polynomial form, see Table A-2, p. 845 • Otherwise, ideal gas tables are also available. They are easier to use compared to the thermodynamic tables since temperature is the only parameter.
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This note was uploaded on 11/27/2011 for the course EML 3002c taught by Professor Staff during the Fall '08 term at FSU.

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ideal gas-2 - Ideal Gas Model For many gases, the ideal gas...

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