Fire is a result of a substance being oxidized. Essentially "to burn" means "to add oxygen to." In the case of paper burning, this would be carbon being oxidized producing heat, carbon monoxide, and carbon dioxide. A very similar reaction would be with hydrocarbons such as gasoline. Hydrocarbons are oxidized to CO, CO2 and water. C3H8 + 5O2 --> 3CO2 + 4H20
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Heat isn't a substance so it can't have a chemical equation attached to it. There are many chemical reactions that result heat. For the most part it is either a loss of a really small amount of mass or the substance becoming less energetic / more stable.
The equation is Q=m*c*delta t. Q represents heat, usually in calories. m represents the mass of the substance being tested. c represents the specific heat of the substance being tested. delta t represents the change in temperature of the substance (use a calorimeter). Make sure that units are consistant throughout the equation. If Q is represented in calories make sure that the specific heat is cal/g*degrees C instead of Joules/g*degrees C.
The symbol equation for heat is Q = mcΔT, where Q represents the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.
(change in) heat = mass x (final temperature - initial temperature) x specific heat
Q = m x (Tf-Ti) x Cp
Heat will be on the product side of the equation, but it is not a "product" in the same sense as the chemical symbol(s) and/or formula(s) written on this side of the equation, because heat is not a tangible substance but rather an increase in the energy of nearby substances.
The balanced symbol equation for nitric oxide is: 2NO (g) + O2 (g) --> 2NO2 (g)
The symbol equation for the reaction of sulfur with oxygen is: S + O2 → SO2
The symbol equation for the reaction between sodium and bromine is: 2Na + Br2 -> 2NaBr
The balanced symbol equation between fluorine and potassium chloride is: 2KF + Cl2 -> 2KCl + F2