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Unformatted text preview: 7.2. ADIABATIC, ISOCHORIC KINETICS 269 Now at the initial state, we have T = T o , so U o = V parenleftBig hatwide A u o T o ,A + hatwide B u o T o ,B parenrightBig . (7.287) So, we can say our caloric equation of state is U U o = V parenleftBig ( A + B ) c v ( T T o ) + ( A hatwide A ) u o T o ,A + ( B hatwide B ) u o T o ,B parenrightBig , (7.288) = V parenleftBig ( hatwide A + hatwide B ) c v ( T T o ) + ( A hatwide A ) u o T o ,A + ( B hatwide B ) u o T o ,B parenrightBig . (7.289) As an aside, on a molar basis, we scale Eq. (7.289) to get u u o = c v ( T T o ) + ( y A y Ao ) u o T o ,A + ( y B y Bo ) u o T o ,B . (7.290) And because we have assumed the molecular masses are the same, M A = M B , the mole fractions are the mass fractions, and we can write on a mass basis u u o = c v ( T T o ) + ( c A c Ao ) u o T o ,A + ( c B c Bo ) u o T o ,B . (7.291) Returning to Eq. (7.289), our energy conservation relation, Eq. (7.274), becomesReturning to Eq....
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This note was uploaded on 11/26/2011 for the course EGN 3381 taught by Professor Park-sou during the Fall '11 term at FSU.
- Fall '11