Gases all obey a universal law that relates pressure, volume, mass, and temperature. You can take any amount of gas & put it in any size contain, while having it at any temperature or pressure. You can then change any of those values, but in doing so will change the others. Increase the temperature, but keep the amount & container the same size and the pressure goes up. This is why you don’t put pressurized containers, like spray cans, into a fire.
In your case the pressure is slowing going down, but not as fast as the amount of gas is leaving. The volume is also fixed. That means the only other thing that can change is the temperature.
Of course, there’s also the propane changing from a liquid to a gas. Gas is more energetic than a liquid, so converting a liquid to a gas takes energy.
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