Question
Balance the following equations : $\ce{C + H_2SO_4} \rightarrow \ce{CO_2}+ \ce{H_2O} + \ce{SO_2}$

Answer

$C + \ce{H_2 SO_4} \rightarrow \ce{CO_2}+ \ce{H_2O} + \ce{SO_2}$
Atoms of oxygen are not equal on both sides.
To make atoms equal, we multiply $\ce{H_2 SO_2}$ on left by $2$ and equate. $C +\ce{2H_2SO_4} \rightarrow \ce{CO_2}+\ce{2H_2O}$ +$\ce{2SO_2}$ Atoms of each element are equal on both sides.

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