The maximum temperature is the adiabatic flame (combustion) temperature. All else being equal, the combustion temperature will approach this to the extent that using higher pressure air puts the reaction process closer to being truly adiabatic.
The adiabatic flame temperature is determined by assuming stoichiometric feed to full reaction with all combustion ...
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Lets start by making a few assumptions about the combustion environment.
The combustion is occurring at constant pressure. The relevant
energy-temperature term for changes in temperature at constant
pressure is enthalpy.
The solid fuel isn't affected by the different pressures.
The oxidizer is an ideal gas starting out at some pressure P. Its
enthalpy is ...
Well, this not an easy one, but I believe an estimated max. theoretical pressure inside the cylinder can be calculated, provided the following ideal conditions (and lots of assumptions):
Assuming a complete reaction with no dissociation (no unburned porpane and no $C, H_2, CO, OH$, or free $O_2$.)
Cylinder is adiabatic.
Cylinder is rigid, no changes in ...