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Carbon monoxide and water vapour react t...

Carbon monoxide and water vapour react to give `CO_(2)` and `H_(2)` in a vessel of 2 L capacity at 1090 K. Equilibrium is 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.

Text Solution

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`{:(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`
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