To make some previous estimation you nedd, at least,
- a model of the reactions involved
- the heat of combustion and thermodinamical model
- some model of the gas phase behaviour.
In the simplest case :
H2 + 1/2 O2 --> H2O
From the mass balance you see that there is a decrease in volumen (from 1 1/2 to 1 ), so the reaction would lead to a decrease of pressure if there is no heat involved !!
But, with the heat balance , you know that there is an important increase in temperature (due to combustion) an then, in adiabatic conditions, you can calculate the adiabatic temperature.
Finally, with a model of gas phase, the simplest would be ideal gas: P = n . R. T / V, you can estimate the final pressure.
Hope this helps a little