# Mass converted to energy in a common fire?

In a common wood fire such as a campfire, is matter converted to energy or is it simply an exothermic chemical reaction and all the mass can be accounted for in the ash and soot?

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Note: Post-reaction mass is accounted for in the wood, soot, AND the CO2 and H2O that comes from the reaction. Even if you collected 100% of the solid matter after a fire, the mass will be much less due to what's lost as a gas. – Alan Rominger Oct 30 '11 at 3:52

## 2 Answers

This is a common question that applies to chemical reactions, batteries, and other common forms of energy conversion. The short answer is yes, but of course the change is negligible.

In a chemical reaction you have a set of reactants and a set of products. If you were to take the mass of the reactants and sum them up, you would find them to be more than the sum of the mass of the products. This mass difference time $c^2$ is the energy of the reaction. Again, this is by an amount that is so small that it is unmeasurable. The mass change from of nuclear reactor fuel after burning it at a large heat rate for 4 years is barely measurable itself, if you're talking about putting the fuel on a scale and measuring it.

Now come the qualifiers. If you put air and wood in a completely closed container and let it burn what would happen to the total mass of the container? It would stay the same. The temperature would increase, and as the molecules move faster the mass increases (basic relativity). If you preformed a chemical reaction, then cooled the products, you could try to measure a mass difference that is theoretically predicted. But even assuming you have a scale that is precise enough, you'll have to look into other things like tidal forces. Experimentally measuring these mass changes would be a futile effort.

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Thank you! I had actually been thinking about the sealed container experiment this afternoon while staring into my pile of burning leaves. – Dave Nay Oct 29 '11 at 23:49

Even burning in a closed container would result in a loss of mass via the electromagnetic radiation emitted (i.e. visible light and infrared), and as stated, it would be immeasurably small.

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