For a model problem the solution to which describes the main features of changes in the parame ters of the medium in the detonation of an unconfined gas mixture charge of in the air, direct numerical sim ulation, without of simplifying assumptions on changes in the composition of the mixture, was performed to study changes in the composition of the detonation products, determine the limits of applicability of the chemical equilibrium mixture model, and verify a previously obtained sufficient condition of applicability of the chemical equilibrium mixture model. The results of determining the limits of applicability of the chemical equilibrium mixture model previously obtained using an approximate method were confirmed. ( ), J J J r r r − − Δ = − 1 , J J r r + = 1 2 , J J u u − = 1 2 1 2 , J J u u + − = 1 2 1 2 , J J e e − − = 1 2 1 2 , J J e e + − = 1 2 1 2 , J J i i − − = 1 2 1 2 , J J i i − − = 1 2 1 2 2, J J m m − − Δ =Δ 1 2 1 2 2, J J m m + − Δ =Δ 1 2 1 2 , J J V V − − = 1 2 1 2 , J J