Thermodynamics filled in class notes_Part_104

# Thermodynamics filled in class notes_Part_104 - 6.2....

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Unformatted text preview: 6.2. EQUILIBRIUM CONDITIONS 215 coupled set of nonlinear equations: 520243 + 24942 ln parenleftbigg n H 2 n H 2 + n O 2 + n H 2 O + n OH + n H + n O parenrightbigg 2 H = 0 , (6.86) 755385 + 24942 ln parenleftbigg n O 2 n H 2 + n O 2 + n H 2 O + n OH + n H + n O parenrightbigg 2 O = 0 , (6.87) 974790 + 24942 ln parenleftbigg n H 2 O n H 2 + n O 2 + n H 2 O + n OH + n H + n O parenrightbigg 2 H O = 0 , (6.88) 641903 + 24942 ln parenleftbigg n OH n H 2 + n O 2 + n H 2 O + n OH + n H + n O parenrightbigg H O = 0 , (6.89) 213961 + 24942 ln parenleftbigg n H n H 2 + n O 2 + n H 2 O + n OH + n H + n O parenrightbigg H = 0 , (6.90) 323371 + 24942 ln parenleftbigg n O n H 2 + n O 2 + n H 2 O + n OH + n H + n O parenrightbigg O = 0 , (6.91) 2 n H 2 + 2 n H 2 O + n OH + n H = 4 , (6.92) 2 n O 2 + n H 2 O + n OH + n O = 2 . (6.93) These non-linear algebraic equations can be solved numerically via a Newton-Raphson technique. The equations are sensitive to the initial guess, and one can use ones intuition to help guide the selection. For example, one might expect to haveselection....
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## Thermodynamics filled in class notes_Part_104 - 6.2....

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