Found the study below: Note that they use carbon dioxide to dilute for safety, and used a catalyst to set off the reaction. So, a scratch or burr inside the tank, regulator, tubing, fittings or a little bit of heat could set off a pure mixture.
Reactivity investigation of mixtures of propane and nitrous oxide by Ronald J. Willey, Shangwei Hu & John M. Moses, Process Safety Progress, Volume 24, Issue 4, Pages 303-309 (2005).
"Supercritical and vapor-phase reactions of oxidizers and fuels under pressure are of commercial interest. Because mixtures of propane and nitrous oxide have the potential to be explosive, a model mixture was studied with the intent of defining safe operating boundaries. This work investigated the nitrous oxide/propane oxidant/fuel system, diluted with the inert solvent carbon dioxide, and a catalyst as an accelerant, to determine the safe operating regions for the oxidation reaction. Using an ARC® calorimeter for the evaluations, variables included initial system density, catalyst, and mixture compositions. Density of the system ranged from 0.05 to 0.62 g/cm3. A number of catalysts were investigated with 10% Pd on carbon being the most active. Strongest reactivity was observed when the mixture was stoichiometric to the complete combustion products of nitrogen, carbon dioxide, and water. Three distinct regions of reactivity were observed: mild reactivity (starting at the sensitivity of the ARC of dT/dt = 0.02 to about 0.1° C/min); strong exothermic reaction (dT/dt 1° C/min); and flammable and/or explosive (a distinct and substantial jump in dP/dt in <1 s). As a result, a boundary has been proposed for safe mixtures of nitrous oxide, propane, and carbon dioxide, and a basis for determining safe operating compositions for other systems. The computed adiabatic reaction temperature was used to correlate the experimental results to establish the boundary for safe operation."
The above abstract & info on purchasing the entire article:
I expect significant mutual solubility between the propane & nitrous oxide. Probably lots of hydrogen bonding (between H of propane & O on nitrous oxide). Found some phase diagram leads, but all were coprighted/pay-to-view stuff.
Be careful out there,
Ken