1.

In the reaction `AB_((g))hArrA_((g))+B_((g))at 30^(@)C, K_(p)` for the dissociation equlibrium is `2.56xx10^(-2)` atm. If the total pressure at equlibrium is I atm, then the precentage dissociation of ABA. `87%`B. `13%`C. `43.5%`D. `6%`

Answer» `AB_((g)) to A_((g))+B_((g))`
Applying law of mass action
`K_(p)=(alpha^(2)P)/(a-alpha^(2))`
`(alpha^(2))/(1-alpha)=2.56xx10^(-2)" "[therefore(1-alpha)=1]`
`impliesalpha^(2)=2.56xx10^(-2)`
`impliesalpha=sqrt(2.56xx10^(-2))impliesalpha=0.16`
`%` age dissociation `=16%`


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