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What is the difference between calcination and pyrolysis?

I understand they both involve heat treatment but each under a different type of atmosphere, which leads to some sort of reduction reaction? What are the differences in underlying mechanisms?

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Essentially calcination is decomposition at high temperature with inorganic reactants such as calcium carbonate in making cement. $$\ce{CaCO3 ->[\Delta ] CaO + CO2}$$ Pyrolysis is decomposition or oxidation at high temperatures of organic materials such as cellulose in making charcoal. $$\ce{(C6H12O6)_{n} ->[\Delta] C7H4O + C_{x}H_{y} + H2O}$$ where $\ce{ C_{x}H_{y}}$ is volatilized byproducts.

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