New Approximate Formula for the Genearlized Temperature Integral

The generalized temperature integral integral(T)(0) T(m) exp(-E/RT)dT frequently occurs in nonisothermal kinetic analysis. This article has proposed a new approximate formula for the generalized temperature integral, which is in the following form: h(m) = x((0.11168+0.04426m))e((-0.00150-0.00055m)x-(0.039922+0.16360m)). For commonly used values of m in kinetic analysis, the deviation of the new approximation from the numerical values of the integral is within 0.4%. More importantly the new formula represents the exponential approximation, which is not found earlier, and it can result in a new and very accurate integral method in kinetic analysis. (C) 2009 American Institute of Chemical Engineers AIChE J, 55: 1766-17701 2009