The system of differential equations of flame propagation is set up and discussed. I t is shown that, without any major influences being neglected, the energy equation can be reduced to the form with the boundary conditions = 0 for q = 0 and for q = 1.Some qualities of the solutions of this equation are discussed and a simple numerical method of solution is described. T h e flame velocity Vo is found as an eigenvalue of theenergy equation. The temperature distribution in the flame zone can then be found by an ordinary quadrature. Further, an approximation formula for f nding V O directly is derived where F(q) is proportional to @(q) and has a maximum for q = q,,,.

T h e general theory developed in a n earlier paper of the author is applied t o the ozone explosion.

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\ siniplc pressure-explicit c~i~pirical cqiiation of stitc for CJWS is prcseiited nliicli contains five constants in addition to tlic gas constant. It has been applied to carbon dioxide, hydrogen and nitrogen. The equation gives good accuracy (with in:i\iiiiiiiii errors slightly liiglicr tlian 1% ) for densities up t o critic:il and for tcnipcraturcs froin sliglitly above critical up to \cry high values. Below critical teinperiiture it can still be applied H itli reasonablc accnracy to the vapor. Ilicrmodynamic fuiictioiis (internal energy, enthalpy and entropy) derived from thi\ cqiiation show siniple foriii and satisfactory accuracy over ;I n idc riingc of tcinperaturc and density.

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