Where does carbon go during decarburization in steels?

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Homework Statement


I understand that decarburization happens during heat treatment of steels @ 700 C, and that carbon reacts with oxygen or hydrogen that is in the atmosphere. But, where does the carbon go?

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The Attempt at a Solution


Does the carbon react with the oxygen and turn into Carbon Oxide like on the surface of the steel? Or does it turn into CO2?
 
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Think. What phase are CO or CO2 in at a temperature of 700°C?