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At `460^(@)C, K_(C)=81` for the reaction, `SO_(2)(g)+NO_(2)(g)hArrNO(g)+SO_(3)(g)` A mixture of these gases has the following concentrations of the reactants and products: `[SO_(2)]=0.04M [NO_(2)]=0.04m` `[NO]-0.30m [SO]=0.3m` Is the system at equilibrium? If not, in which direction must the reaction proceed to reach equilibrium. What will be the molar concentrations of the four gases at equilibrium?

Answer» Correct Answer - `[SO_(2)]=0.034M;[NO_(2)]=0.034M;[NO]=0.306m;[SO_(3)]=0.306M`
`SO_(2)(g)+NO_(2)(g)hArrNO(g)+SO_(3)(g) Q_(c)=((0.3)^(2))/((0.04)^(2))=56.25`
`{:(0.04,0.04,0.3,0.3,),(0.04-x,0.04-x,0.3+x,0.3+x,):}` Here, `O_(C)ltK_(C)` hence reaction will proceed in forward direction to reach at state of equilibrium
`K_(C)=((0.3+x)^(2))/((0.04-x)^(2))=81`
`x=0.006`


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