Carbon monoxide and water vapour react to give CO_(2) and H_(2) in a vessel of 2 L capacity at 1090K. Equilibriumis established and the number of moles of various components is found to be 0.8, 0.6, 0.4 and 1.02 respectively. Calculate K_(c) value. If the concentration of CO has to be increased to 1.2 mol by increasing the concentration of CO_(2) at the equilibrium , find the number of moles of CO_(2) to be added to the reaction mixture at the same temperature.

Carbon monoxide and water vapour react to give CO_(2) and H_(2) in a v

1.	Carbon monoxide and water vapour react to give CO_(2) and H_(2) in a vessel of 2 L capacity at 1090K. Equilibriumis established and the number of moles of various components is found to be 0.8, 0.6, 0.4 and 1.02 respectively. Calculate K_(c) value. If the concentration of CO has to be increased to 1.2 mol by increasing the concentration of CO_(2) at the equilibrium , find the number of moles of CO_(2) to be added to the reaction mixture at the same temperature.
Answer» Solution :`{:(CO+H_(2)O hArr CO_(2) + H_(2)),(0.8""0.6""0.4""1.2):}` `K_(c)=(0.4xx1.2)/(0.8xx0.6)=1` but 'a' moles of `CO_(2)` is added at EQUILIBRIUM . The new number of moles of CO is 1.2 SHOWING an INCREASE by 0.4 mol. After the addition of 'a' moles of `CO_(2)` , balanced reaction takes PLACES : `{:(CO+ H_(2)O"" hArr ""CO_(2) ""+ ""H_(2)),((0.8+0.4)(0.6+0.4)" "(0.4+a-0.4)(1.2-0.4)),(1.2""1.0""a""0.8):}` `K_(c)=((0.6+0.4)(0.8+0.4))/((0.4+a-0.4)(1.2-0.4))=(1xx1.2)/(axx0.8)=1` `implies a=(1.2)/(0.8)=1.5`