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Chapter 8: Problem 3

\(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+\mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}\)

Short Answer

Expert verified
The balanced chemical equation is: \[\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+6\mathrm{O}_{2} \rightarrow 6\mathrm{CO}_{2}+6\mathrm{H}_{2} \mathrm{O}\]

Step by step solution

01

Balance the Carbon atoms

There are 6 Carbon atoms on the left side and 1 on the right side. To balance the Carbon atoms, we need to put a coefficient of 6 in front of \(\mathrm{CO}_{2}\): \[\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+\mathrm{O}_{2} \rightarrow 6\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}\] Now we have 6 carbon atoms on both sides of the equation.
02

Balance the Hydrogen atoms

There are 12 Hydrogen atoms on the left side and 2 on the right side. To balance the Hydrogen atoms, we need to put a coefficient of 6 in front of \(\mathrm{H}_{2} \mathrm{O}\): \[\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+\mathrm{O}_{2} \rightarrow 6\mathrm{CO}_{2}+6\mathrm{H}_{2} \mathrm{O}\] Now we have 12 hydrogen atoms on both sides of the equation.
03

Balance the Oxygen atoms

Finally, we need to balance the Oxygen atoms. There are 8 Oxygen atoms on the left side (6 in \(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\) and 2 in \(\mathrm{O}_{2}\)) and 18 on the right side (12 in 6\(\mathrm{CO}_{2}\) and 6 in 6\(\mathrm{H}_{2} \mathrm{O}\)). To balance the Oxygen atoms, we need to put a coefficient of 6 in front of \(\mathrm{O}_{2}\): \[\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+6\mathrm{O}_{2} \rightarrow 6\mathrm{CO}_{2}+6\mathrm{H}_{2} \mathrm{O}\] Now we have 18 oxygen atoms on both sides of the equation.
04

Verify that the chemical equation is balanced

To ensure the chemical equation is balanced, we can compare the number of atoms of each element in the reactants and the products: - Carbon: 6 on both sides - Hydrogen: 12 on both sides - Oxygen: 18 on both sides The chemical equation is balanced: \[\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+6\mathrm{O}_{2} \rightarrow 6\mathrm{CO}_{2}+6\mathrm{H}_{2} \mathrm{O}\]

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