1 litre of a mixture of $ ext{CO}$ and $ ext{CO}_2$ is taken. This mixture is passed through a tub

Question

1 litre of a mixture of $	ext{CO}$ and $	ext{CO}_2$ is taken. This mixture is passed through a tube containing red hot charcoal. The volume now becomes 1.6 litres. All volumes are measured under the same conditions of temperature and pressure. Which of the following statements is/are CORRECT?

Professor PC Thomas Classes · Answer

Reaction: $	ext{CO}_2(g) + 	ext{C}(s) ightarrow 2	ext{CO}(g)$. Let the volume of $	ext{CO}_2 = x$ L and $	ext{CO} = (1-x)$ L. From the stoichiometry, $x$ L of $	ext{CO}_2$ reacts with solid carbon to produce $2x$ L of $	ext{CO}$. Final volume = original $	ext{CO}$ + newly formed $	ext{CO} = (1-x) + 2x = 1+x$ L. We are given $1+x = 1.6 \implies x = 0.6$ L. So, original $	ext{CO}_2 = 0.6$ L and original $	ext{CO} = 0.4$ L. New $	ext{CO}$ produced = $2(0.6) = 1.2$ L. Total final $	ext{CO} = 0.4 + 1.2 = 1.6$ L.