1.

The degree of dissociation of dinitrogen tetroxide N_(2)O_(4) (g) to 2NO_(2)(g) atature T and total pressure P is alpha. Which one of the following is the correct expression for the equilibrium constant (K_(p)) at this temperature ?

Answer»

<P>`(2 ALPHA)/((1-alpha^(2)))`
`(alpha^(2)P)/(1-alpha)`
`(4alpha^(2))/((1-alpha^(2)))`
`(4alpha^(2)P)/((1-alpha^(2)))`

Solution :`underset(1-alpha)(N_(2)O_(4)) hArr underset(2ALPHA)(2NO_(2))`
Total moles at equ `=1-alpha+2alpha=1+alpha`
`K_(e )=(P_(NO_(2))^(2))/(P_(N_(2)O_(4)))=(((2alpha)/(1+alpha)P)^(2))/((1-alpha)/(1+alpha)P)=(4alpha^(2)P)/(1-alpha^(2))`


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