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Unformatted text preview: 7.1. ISOTHERMAL, ISOCHORIC KINETICS 251 Let us perform a series of row operations to find all of the linear dependencies. Our aim is to convert the ν matrix into an upper triangular form. The lower left corner of ν already has a zero, so there is no need to worry about it. Let us add the first and fourth equations to eliminate the 1 in the 4 , 1 slot. This gives d dt ρ NO ρ N ρ N 2 ρ NO + ρ O ρ O 2 = − 1 1 − 1 − 1 1 2 − 1 parenleftbigg r 1 r 2 parenrightbigg . (7.158) Next, add the first and third equations to get d dt ρ NO ρ N ρ NO + ρ N 2 ρ NO + ρ O ρ O 2 = − 1 1 − 1 − 1 1 2 − 1 parenleftbigg r 1 r 2 parenrightbigg . (7.159) Now multiply the first equation by − 1 and add it to the second to get d dt ρ NO − ρ NO + ρ N ρ NO + ρ N 2 ρ...
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This note was uploaded on 11/26/2011 for the course EGN 3381 taught by Professor Parksou during the Fall '11 term at FSU.
 Fall '11
 ParkSou
 Dynamics

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