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In the reaction AB(g) hArr A(g) + B(g) a...

In the reaction `AB(g) hArr A(g) + B(g)` at `30^(@)C, k_(p)` for the dissociation equilibrium is `2.56xx10^(-2) atm`. If the total pressure at equilibrium is 1 atm, then the percentage dissociation of AB is

A

`87%`

B

`13%`

C

`43.5%`

D

`6%`

Text Solution

Verified by Experts

`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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