{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Thermodynamics filled in class notes_Part_131

# Thermodynamics filled in class notes_Part_131 - 7.2...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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 ρ A u o T o ,A + hatwide ρ B u o T o ,B parenrightBig . (7.287) So, we can say our caloric equation of state is U − U o = V parenleftBig ( ρ A + ρ B ) c v ( T − T o ) + ( ρ A − hatwide ρ A ) u o T o ,A + ( ρ B − hatwide ρ B ) u o T o ,B parenrightBig , (7.288) = V parenleftBig ( hatwide ρ A + hatwide ρ B ) c v ( T − T o ) + ( ρ A − hatwide ρ A ) u o T o ,A + ( ρ B − hatwide ρ 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....
View Full Document

{[ snackBarMessage ]}