Re: wc872 burn rate
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<font color="purple"> The ideal gas law has very little to do with this subject. Nowhere in the law does it account for a solid undergoing a chemical reaction and changing phases. That reaction (burning) will take place at different temperatures for different elements regardless of how much gas is produced. This is where much of the heat of firing comes from--not simply a gas being compressed.
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I'm afraid you have misunderstood the ideal gas law (IGL) and what I have written. According to the chemists I've talked to, (and previously posted) there is <font color=" green"> virtually no phase changes </font> going on or creation of new gas molecules. (If you can cite a credible reference stating otherwise I'd love to see it.) You merely have a heat pump – and a very slow burning one at that – much like the fuel burning in your cylinder (engine). In the case of internal combustion engines, you do have some deviation from a pure heat pump in that the <font color="red"> n </font> in <font color="red"> PV=nRT </font> increases minimally (i.e., new gas molecules are created) This situation does not occur with burning powder. The creation of more <font color="red"> n </font> still fits into the IGL but cannot be reduced to a simple heat pump (altho the <font color="red"> n </font> increase in an internal combustion engine is minimal so the heat pump simplification is still a good approximation.
My guess is that the reason powder that is not sealed changes density over time is because powder is hygroscopic (absorbs water). In this case there would be a phase change, but water going from liquid to gas absorbs a jynormous amount of energy (thus dramatically cools the reactants) and the increase in <font color="red"> n </font> is far offset by the Jynormous decrease in <font color="red"> T </font>
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Even if you try and apply it after combustion is complete (and at this point you are already well beyond peak pressure) different powders can have a different number of moles of gas which is a variable you don't know unless you know the exact chemical composition of each powder.
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Incorrect. As I've previous stated numerous times, there is no creation of new gas molecules. You simply have a simple heat pump. Also, you would not quantify via moles without doing the same to all compounds, you would use ratios. Why would you want to apply the IGA after combustion is complete? That's why you integrate.
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Stick your finger in a hydraulic press and you'll see it doesn't take temperature to create pressure. The ideal gas law doesn't apply to that either. No magic required.
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Obviously there are other ways to create pressure than heat. A hydraulic press is not a heat pump. Hydraulic pressure is produced by hydraulic leverage which supplies the Force or Pressure. Yes, the IGL doesn't apply; hydraulics are fluids – not gasses – and are not heat pumps. A crow bar or hammer produce pressure on a nail head without using heat.
There are many examples of hot gases not approximated by the IGA (ablation in inertial confinement fusion, detonation (supersonic compression, not heat expansion) – but the (relatively) low pressure and burn rate of powders is well approximated by the IGL.