Acta Phys. -Chim. Sin. ›› 1995, Vol. 11 ›› Issue (02): 147-150.doi: 10.3866/PKU.WHXB19950210

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The Dependence of the Number of Kinetic Parameters on the Condition Number of Normal Equation

Huang Wei, Yu Qi-Quan, Jin Yun, Wei Yu-Feng   

  1. Department of Chemistry,Peking University,Beijing 100871
  • Received:1993-10-06 Revised:1993-12-27 Published:1995-02-15
  • Contact: Yu Qi-Quan


The kinetics of isomerization of 1-butene over Lu2O3/SiO2 catalyst has been investigated by the flow-recirculation glass reactor. The heats of adsorption for 1-butene, 2-butene and water were determined by the pulse method. The kinetics of isomerization of 1-butene obeys the L-H mechanism Kinetic equation. We observed that L-H kinetic equation with two parameters is the good-conditioned equation. The L-H kinetic equation with more than three parameters is a ill-conditioned equation. The condition number of normal equation increases with the increase of parameter numbers for kinetic equation. In addition, we observed that the condition number is not less than the square of ratio of long to short in column vector for the coefficient matrix of contradiction equation.

Key words: Lu2O3/SiO2, Condition number, Kinetics