State whether the following statements are true or false. Gay-Lussac's law of combining volumes is applicable to the reaction, \(2 \mathrm{C}+\mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2}\)

Short Answer

Expert verified
Answer: Yes, the reaction follows Gay-Lussac's law of combining volumes as the volume ratios of the gaseous reactants and products are in a simple whole-number ratio.

Step by step solution

01

Write down the balanced equation

We are given the balanced equation for the reaction: \(2 \mathrm{C}+\mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2}\). It shows the stoichiometric coefficients for each species present in the reaction.
02

Identify the gaseous components in the reaction

In the given reaction, the gaseous components are: - \(\mathrm{O}_{2}\): dioxygen gas - \(\mathrm{CO}_{2}\): carbon dioxide gas
03

Verify the ratio

According to the balanced equation, 1 mole of \(\mathrm{O}_{2}\) combines with 2 moles of carbon to form 2 moles of \(\mathrm{CO}_{2}\). The volume ratios of the gaseous components in this reaction are 1:2. Therefore, we can say that the reaction follows Gay-Lussac's law of combining volumes, as the volume ratios are in simple whole numbers.
04

Conclusion

The statement "Gay-Lussac's law of combining volumes is applicable to the reaction, \(2 \mathrm{C}+\mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2}\)" is true because the volume ratios of the gaseous reactants and products are in a simple whole-number ratio.

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