Chemistry - Mole Concept Question with Solution | TestHub

The reaction of carbon dioxide with hot coke is given by:

${\text{CO}}_2(g)+\text{C}(s)\to 2\text{CO}(g)$

Initial volume of ${\text{CO}}_2=1$ dm${}^3$

Let $x$ dm${}^3$ of ${\text{CO}}_2$ react with hot coke.

Volume of ${\text{CO}}_2$ remaining $=1-x$ dm${}^3$

Volume of $\text{CO}$ formed $=2x$ dm${}^3$

Total volume of the gaseous mixture $=(1-x)+2x=1+x$ dm${}^3$

Given that the total volume after the reaction is $1.4$ dm${}^3$:

$1+x=1.4$

$x=0.4$ dm${}^3$

Volume of ${\text{CO}}_2$ remaining $=1-0.4=0.6$ dm${}^3$

Volume of $\text{CO}$ formed $=2\times 0.4=0.8$ dm${}^3$

The composition of the gaseous mixture is $0.8$ dm${}^3$ of CO and $0.6$ dm${}^3$ of ${\text{CO}}_2$.

Answer: $0.8$ dm${}^3$ of CO, $0.6$ dm${}^3$ of ${\text{CO}}_2$