
%0 Journal Article
%A Taplin, JH 
%T General equations for the reaction kinetics of solids
%J Australian Journal of Chemistry
%D 1976/01/01
%V 29
%N 1
%P 27-31
%K 
%R https://doi.org/10.1071/CH9760027
%U https://www.publish.csiro.au/paper/CH9760027 
%X The index-of-reaction equation (i.r.e.):     dF/dtZ = kZ(l - &#946;F)m is compared with a generalized Prout-Tompkins equation (g.P.T.e.):     dF/dt = kn(l - &#946;F)y  With the boundary condition F = 0, t = 0 the equations are equivalent for z = 2 or m = 0 or &#946; &#8804; 1 and the i.r.e, is closely approximated by the g.P.T.e. for other values of the parameters by use of the following approximation  &#8747;(1- F)-m dF &#8776; AF(1-BF)5 The parameter s is a function of m. Both A and B are close to unity for 1/3 < m < 3. The i.r.e. is recommended as being more useful than the g.P.T.e. because the i.r.e. has a better theoretical basis and because it is more readily integrated and fitted to experimental data. 
