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Thermodynamics filled in class notes_Part_123

Thermodynamics filled in class notes_Part_123 - 253 7.1...

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7.1. ISOTHERMAL, ISOCHORIC KINETICS 253 We can get a more elegant form by defining ξ NO = ρ NO and ξ N = ρ N . Thus we can say our state variables have the form ρ NO ρ N ρ N 2 ρ O ρ O 2 = 0 0 1 2 C 1 C 2 1 2 C 3 + 1 0 0 1 1 2 1 2 0 1 1 2 1 2 parenleftbigg ξ NO ξ N parenrightbigg . (7.172) By translating via ξ NO = ξ NO + hatwide ρ NO and ξ N = ξ N + hatwide ρ N and choosing the constants C 1 , C 2 and C 3 appropriately, we can arrive at ρ NO ρ N ρ N 2 ρ O ρ O 2 bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright = ρ = hatwide ρ NO hatwide ρ N hatwide ρ N 2 hatwide ρ O 2 hatwide ρ O 2 bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright = b ρ + 1 0 0 1 1 2 1 2 0 1 1 2 1 2 bracehtipupleft bracehtipdownrightbracehtipdownleft bracehtipupright = D parenleftbigg ξ NO
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