JEE Main202529 Jan 2025Morning ShiftChemistryChemical EquilibriumActual
At temperature T, compound ( AB _ 2( ~g ) ) dissociates as ( AB _ 2( ~g ) AB _ ( g ) + 1 2 ~B _ 2( ~g ) ) having degree of dissociation (x ) (small compared to unity). The correct expression for (x ) in terms of ( K _ p ) and p is
Options
- A( [4] 2 K_p p )
- B( [3] 2 K_ p p )
- C( [3] 2 ~K _ p ^2 p )
- D( K_p )
Correct answer
C. ( [3] 2 ~K _ p ^2 p )
Step-by-step solution
( array lcc & AB ₂( g ) & & AB ( g ) & + & 1 2 ~B ₂( g ) t=0 & p₀ & t=t_ eq & p₀(1-x) & & p₀ x & & p₀ x 2 array ) ( p = p ₀ x - p ₀ x + p ₀ x + p ₀ x 2 ) gathered p=p₀ (1+ x 2 ) p₀= p (1+ x 2 ) K_p= (p_ A B ) (p_ B₂ )^ 1 / 2 (p_ AB ₂ ) K_p= (p₀ x ) ( p₀ x 2 )^ 1 / 2 p₀(1-x) gathered K _ p = px (1+ x 2 ) ( p 1+ x 2 x 2 )^ 1 / 2 p (1- x ) (1+ x 2 ) Since x 1 aligned & K_p= p ^ 1 / 2 x ^ 3 / 2 2^ 1 / 2 & x = [3] 2 ~K _ p ^2 p aligned