Home
Class 11
CHEMISTRY
At temperature T, a compound AB(2)(g) di...

At temperature T, a compound `AB_(2)(g)` dissociates according to the reaction
`2AB_(2)(g)hArr2AB(g)+B_(2)(g)`
with degree of dissociation `alpha`, which is small compared with unity. The expression for `K_(p)` in terms of `alpha` and the total pressure `P_(T)` is

Text Solution

Verified by Experts

For the given equilibrium, the equilibrium concentration are
`2AB_(2)(g)hArr2AB(g)+B_(2)(g)`
`{:("Equilibrium",c(1-alpha),,calpha,(calpha)/2),("concentration",,,,):}`
`:. K_(p)=((P_(B_(2)))(P_(AB))^(2))/(P_(AB_(2)))^(2)=`
`K_(p)=(alpha^(3)xxP_(T))/(2(1-alpha)^(2)(1+alpha/2))`
Since alpha is small compared to unity, so `1-alpha ~= 1` and `1+alpha/2 ~=1`.
`:. K_(p)=(alpha^(3)xxP_(T))/2`
Promotional Banner

Topper's Solved these Questions

  • CHEMICAL EQUILIBRIUM

    CENGAGE CHEMISTRY|Exercise Concept Applicationexercise 7.1|53 Videos

  • CHEMICAL EQUILIBRIUM

    CENGAGE CHEMISTRY|Exercise Ex 7.2|40 Videos

  • CHEMICAL BONDING AND MOLECULAR STRUCTURE

    CENGAGE CHEMISTRY|Exercise Archives Subjective|15 Videos

  • CLASSIFICATION AND NOMENCLATURE OF ORGANIC COMPOUNDS

    CENGAGE CHEMISTRY|Exercise Analytical and Descriptive Type|3 Videos

Similar Questions

Explore conceptually related problems

At certain temperature compound AB_(2)(g) dissociates accoring to the reacation 2AB_(2)(g) hArr2AB (g)+B_(2)(g) With degree of dissociation alpha Which is small compared with unity, the expression of K_(p) in terms of alpha and initial pressure P is :

At temperature ,T, a compound AB_2(g) dissociates according to the reaction 2AB_2 (g) ltimplies 2AB(g)+B_2(g) with a degree of dissociation, x, which is small compared with unity.Deduce the expression for K_P , in terms of x and the total pressure , P.

At certain temp. compound AB_(2(g)) dissociate according to reaction AB_(2(g))hArrAB_(g)+B_(g) with degree of dissociation prop_(1) which is small compared with unity. The expression of K_(P) in terms of prop and initial pressure P is :-

At temperature T, a compound AB_2(g) dissociation according to the reaction, 2AB _2(g) hArr 2AB(g) +B_2(g) with degree of dissociation, alpha , which is small compared to unity . Deduce the expression for alpha in terms of the equilibrium constant K_p and the total pressure P.

At a certain temperature T , a compound AB_(4)(g) dissociates as 2AB_(4)(g)hArrA_(2)(g)+4B_(2)(g) with a degree of dissociation alpha , which compared to unity. The expressio of K_(P) in terms of alpha and total pressure P is:

At a temperature T, a compound AB_4(g) dissociates as 2AB_4(g) hArr A_2(g)+4B_2(g) with a degree of dissociation x, which is small compared with unity. The expression of K_p in terms of x and total pressure P is :