{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Thermodynamics filled in class notes_Part_95

# Thermodynamics filled in class notes_Part_95 - 5.6 SOME...

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: 5.6. SOME CONSERVATION AND EVOLUTION EQUATIONS 197 Solving, we get dρ dt = − 1 T dT dt ∑ N i =1 ρ i − r ∑ N i =1 ν i ∑ N i =1 ρ i ρ . (5.449) One takes dT dt from Eq. (5.442) to get dρ dt = 1 T r P N i =1 h i ν i ρc P ∑ N i =1 ρ i − r ∑ N i =1 ν i ∑ N i =1 ρ i ρ . (5.450) Now recall that ρ = ρ/M and c P = c P M , so ρ c P = ρc P . Then Equation (5.450) can be reduced slightly: dρ dt = rρ P N i =1 h i ν i c P T =1 bracehtipdownleft bracehtipuprightbracehtipupleft bracehtipdownright N summationdisplay i =1 ρ i ρ − ∑ N i =1 ν i ∑ N i =1 ρ i , (5.451) = rρ ∑ N i =1 h i ν i c P T − ∑ N i =1 ν i ∑ N i =1 ρ i , (5.452) = rρ ∑ N i =1 ν i parenleftBig h i c P T − 1 parenrightBig P RT , (5.453) = r ρ RT P N summationdisplay i =1 ν i parenleftbigg h i c P T − 1 parenrightbigg , (5.454) = rM N summationdisplay i =1 ν i parenleftbigg h i c P T − 1 parenrightbigg , (5.455) where M is the mean molecular mass. Note for exothermic reactionis the mean molecular mass....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Thermodynamics filled in class notes_Part_95 - 5.6 SOME...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online