1.

The `K_(p)` for the reaction `N_(2)O_(4)hArr2NO_(2)` is `640 mm` at `775 K`. Calculate the percentage dissociation of `N_(2)O_(4)` at equilibrium pressure of `160 mm`. At what pressure, the dissociation will be `50%`?

Answer» `{:(,N_(2)O_(4),hArr,2NO_(2)),("Mole before equilibrium",1,,0),("Mole at equilibrium",(1-x),,2x):}`
`K_(p)=(4x^(2))/((1-x))xx[(P)/(sumn)]^(Deltan)`
`640=(4x^(2))/((1-x))(160)/((1+x))`
`4=(4x^(2))/(1-x^(2))`
or `1-x^(2)=x^(2)`
or `2x^(2)=1`
` :. x^(2)=1//2`
or `x=0.707=70.7%`
Also `640=(4xx(0.5)^(2))/(0.5)xx(P)/(1.5)` (if `x=0.5`)
`:. P=480 mm`


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