Solution
Related Formula
CO₂(g) + C(s) arrow 2CO(g)Core Logic
Let the initial volume of CO₂ be 1 dm³. Let x be the volume of CO₂ reacted.
Reaction: CO₂(g) + C(s) arrow 2CO(g) Initial: 1 dm³ 0 Change: -x +2x Eq / Final: 1 - x 2x
Total volume of gaseous mixture after reaction = Volume of unreacted CO₂ + Volume of CO formed
Vtotal = (1 - x) + 2x = 1 + xStep 1: Solve for x
Given Vtotal = 1.4 dm³ at STP. 1 + x = 1.4
x = 0.4 dm³Step 2: Calculate Final Composition
Volume of CO₂ left = 1 - x = 1 - 0.4 = 0.6 dm³ Volume of CO formed = 2x = 2(0.4) = 0.8 dm³
Pattern Recognition
When CO₂ reacts with solid Carbon to form 2CO, every 1 mole (or volume) of CO₂ consumed results in a net increase of 1 mole (or volume) in the system. The total volume increase directly equals the volume of CO₂ reacted.
Chapter Mix
Class 11 Chemistry: Some Basic Concepts of Chemistry