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

A

`(Px^3)/2`

B

`(Px^2)/3`

C

`(Px^3)/3`

D

`(Px^2)/2`

Text Solution

Verified by Experts

The correct Answer is:
A
`2AB_(2(g)) hArr2AB_((g)) +B_(2(g))`
`{:("Initially",1,0,0),("At equilibrium", (1–x) ,x, x//2):}`
Total no. of moles at equilibrium
`= (1-x) + x+ (x)/2 = (2+x)/2`
Partial pressure = mole fraction `xx` total pressure
Applying `K_p=(P_(AB)^2xxP_(B_2))/(P_(AB_2)^2)`
`=(((x)/((2+x)/2)xxP)xx(((x)/(2))/((2+x)/(2))xxP))/((((1-x)/(2+x))/(2)+P))=(px^3)/((2+x)(1-x)^2)`
Since `x lt lt 1` so `(1 - x)^2` can be neglected and `(2 + x)` can be taken as 2.
`:. K_p = (px^3)/2`
Promotional Banner

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 :