What will be the chemical reaction for the ignition of Gun Powder??

A simple, commonly cited, chemical equation for the combustion of black powder is

• 2 KNO₃ + S + 3 C → K₂S + N₂ + 3 CO₂.

A balanced, but still simplified, equation is^[93]

• 10 KNO₃ + 3 S + 8 C → 2 K₂CO₃ + 3 K₂SO₄ + 6 CO₂ + 5 N₂.

Although charcoal's chemical formula varies, it can be best summed up by its empirical formula: C₇H₄O^[why?]

An even more accurate equation of the decomposition of regular black powder with the use of sulfur can be described as:

• 4 KNO₃ + C₇H₄O + 2 S —> 2 K₂S + 4 CO₂ + 3 CO + 2 H₂O + 2 N₂

Black powder without the use of sulfur:

• 6 KNO₃ + C₇H₄O —> 3 K₂CO₃ + CO₂ + 6 CO + 2 H2O + 2 N₂

http://en.wikipedia.org/wiki/Gunpowder

And what will be the change in enthalpy (dH) of the above reactions?