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At certain temperature K(c) for the reac...

At certain temperature `K_(c)` for the reactioni.
`SO_(2)(g)+NO_(2)(g)hArrSO_(3)(g)+NO(g)` is 16. If initiallyone mole each of all the four gases are taken in one litre vessel, what are the equilibrium concentrations of NO and `NO_(2)`?

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Given equation
`{:(SO_(2_((g))),+NO_(2_((g))) hArr , SO_(S_((g))),+NO_((g))),(1,1,1,1),((2-x),(2-x),x,x):}`
`K_(C)=([SO_(3)][NO])/([SO_(2)][NO_(2)])`
`=(x xx x)/((2-x)(2-x))`
`10=(x^(2))/((2-x)^(2))`
`(x)/(2-x)=4`
`x=8-4x`
`5x=8`
x=1.6 moles/lit `:. [NO]=1.6` moles/lit
`2-x=2-1.6=0.4` moles/lit
`[NO_(2)]=0.4` moles/lit
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