The self-inhibited rate form (bimolecular Langmuk-Hinshelwood rate) is Incorporated in the diffusion with simultaneous reaction model (DSRM) to describe the progress of a noncatalytlc gas-solid reaction in a spherical solid particle. The model wRh this rate form, solved numerically by orthogonal collocation, provides a plausible explanation for the "rotten apple" phenomenon (internal burning) which occurs when the reaction begins in the interior of the solid particle and progresses outwards. It is shown that the position of the highest reaction rate in the solid particle depends on model parameters. It is also shown that at given gas reactant concentration, solid particle size, and initial soli reactant concentration, muttiple solki conversion histories are possible for a certain range of parameters.C$ = gaseous reactant concentration, kmol/m3 C, = gaseous reactant concentration in the bulk, kmol/m3 CB = solid reactant concentration in the particle, kmol/m3 CBo = initial solid reactant concentration, kmol/m3 De = effective diffusivity of the gas reactant in the solid Conversion when particle, m"/s kl = rate constant for the self-inhibited rate, (m3/kmol)P s-l k2 = parameter in the self-inhibited rate form, m3/kmol K = self-inhibition constant (k2Cb), dimensionless