Thermodynamics filled in class notes_Part_37

Thermodynamics filled in class notes_Part_37 - 3.3. IDEAL...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 3.3. IDEAL MIXTURES OF IDEAL GASES 81 For the ideal gas, one has PV = RT N summationdisplay k =1 n k , (3.70) V = RT ∑ N k =1 n k P , (3.71) ∂V ∂n i vextendsingle vextendsingle vextendsingle vextendsingle T,P,n j ,i negationslash = j = RT ∑ N k =1 ∂n k ∂n i P , (3.72) = RT ∑ N k =1 δ ki P , (3.73) = RT =0 bracehtipdownleftbracehtipuprightbracehtipupleftbracehtipdownright δ 1 i + =0 bracehtipdownleftbracehtipuprightbracehtipupleftbracehtipdownright δ 2 i + ··· + =1 bracehtipdownleftbracehtipuprightbracehtipupleftbracehtipdownright δ ii + ··· + =0 bracehtipdownleftbracehtipuprightbracehtipupleftbracehtipdownright δ Ni P , (3.74) v i = RT P , (3.75) = V ∑ N k =1 n k , (3.76) = V n . (3.77) Here the so-called Kronecker delta function has been employed, which is much the same as the identity matrix: δ ki = , k negationslash = i, (3.78) δ ki = 1 , k = i. (3.79) Contrast this with the earlier adopted definition of molar specific volume v i = V n i .....
View Full Document

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.

Page1 / 2

Thermodynamics filled in class notes_Part_37 - 3.3. IDEAL...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online