Question

One litre of oxygen at ntp is allowed to react with three times of carbon monoxide at ntp.find the volume of each gas formed after the reaction

Answer 1

Dear Student,

$$\begin{gathered} 2\mathrm{CO}+{\mathrm{O}}_2\to 2{\mathrm{CO}}_2 \\ 2\mathrm{mol}1\mathrm{mol} \\ \mathrm{At}\mathrm{NTP},1\mathrm{mol}=22.4\mathrm{L} \\ \mathrm{Therefore},2\times 22.4\mathrm{L}\mathrm{of}\mathrm{CO}\mathrm{reacts}\mathrm{with}22.4\mathrm{L}\mathrm{of}{\mathrm{O}}_2 \\ \mathrm{If}1\mathrm{L}\mathrm{of}{\mathrm{O}}_2\mathrm{reacts}\mathrm{with}\mathrm{three}\mathrm{times}\mathrm{i}.\mathrm{e}.3\mathrm{L}\mathrm{of}\mathrm{CO}\mathrm{then}\mathrm{in}\mathrm{this}\mathrm{case},{\mathrm{O}}_2\mathrm{will}\mathrm{be}\mathrm{the}\mathrm{limiting}\mathrm{reagent}\mathrm{and}\mathrm{will}\mathrm{get}\mathrm{consumed}\mathrm{fully}. \\ 22.4\mathrm{L}\mathrm{of}{\mathrm{O}}_2\mathrm{reacts}\mathrm{with}44.8\mathrm{L}\mathrm{of}\mathrm{CO} \\ \mathrm{So},1\mathrm{L}\mathrm{of}{\mathrm{O}}_2\mathrm{reacts}\mathrm{with}\frac{44.8}{22.4}=2\mathrm{L}\mathrm{of}\mathrm{CO} \\ \mathrm{Therefore},\mathrm{volume}\mathrm{of}\mathrm{CO}\mathrm{left}\mathrm{after}\mathrm{reaction}=3\mathrm{L}-2\mathrm{L}=1\mathrm{L} \\ \mathrm{and}.\mathrm{volume}\mathrm{of}{\mathrm{O}}_2\mathrm{left}\mathrm{after}\mathrm{the}\mathrm{reaction}=1\mathrm{L}-1\mathrm{L}=0 \end{gathered}$$