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I don't know if $\ce{C}$ or $\ce{CuO}$ react with $\ce{H2SO4}$. Some sources say that: $$\ce{C + H2SO4 -> CO2 ^ + 2SO2 ^ + 2 H2O}$$ (It seems to be similar to $\ce{Cu}$ reactions with $\ce{H2SO4}$). Is the reaction possible? If the answer is yes, in what conditions does the reaction take place?

And I was pretty sure that $\ce{CuO + H2SO4 -> CuSO4 v + H2O}$

But my chemistry book says that none of the reactions is possible. I'm little bit confused, some help would be apreciated.

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Carbon reacts with sulfuric acid to produce carbon dioxide and sulfur dioxide gas along with water. Sulfuric acid should be a concentrated, heated solution.

$$\ce{C + 2H2SO4 ->[\Delta] CO2 + 2SO2 + 2H2O}$$

More insight about this reaction can be found here.

Copper(II) oxide, a black solid, and dilute sulfuric acid react to produce copper(II) sulfate, giving a characteristic blue colour to the solution. From this solution, blue copper(II) sulfate pentahydrate crystals may be obtained if desired.

$$\ce{CuO + H2SO4⟶CuSO4↓+H2O}$$

It is a general "insoluble metal oxide is reacted with a dilute acid to form a soluble salt" type of reaction. It is a standard class experiment.

More insight about this reaction can be found here.

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