At a temperature T, a compound AB4(g) dissociates as 2AB4(g) leftharpoons A2(g) + 4B2(g) with a degree of dissociation x, which is small compared with unity. The expression of Kp in terms of x and total pressure P is:

Question

At a temperature T, a compound AB4(g) dissociates as 2AB4(g) leftharpoons A2(g) + 4B2(g) with a degree of dissociation x, which is small compared with unity. The expression of Kp in terms of x and total pressure P is: (A) 8P3 x5 (B) 256P3 x5 (C) 4Px2 (D) None of these

Tardigrade Admin · Accepted Answer

underset1-x2AB4 (g) leftharpoons underset(x/2)A2(g)+4B2(g); underset2x∑ n= underset1-x≃11+(3x/2)≃1 KP=(((x/2)P)((2x/1)× P)4/(P)2)=8P2x5

Q. At a temperature $T$ , a compound $A B_{4} (g)$ dissociates as $2 A B_{4} (g) ⇌ A_{2} (g) + 4 B_{2} (g)$ 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:

$8 P^{3} x^{5}$

$256 P^{3} x^{5}$

$4 P x^{2}$

None of these

$1 - x 2 A B_{4} (g) ⇌ \frac{x}{2} A_{2} (g) + 4 B_{2} (g); 2 x \sum n = 1 - x ≃ 1 1 + \frac{3 x}{2} ≃ 1$
$K_{P} = \frac{( \frac{x}{2} P ) ( \frac{2 x}{1} \times P ) ^{4}}{( P ) ^{2}} = 8 P^{2} x^{5}$

Q. At a temperature T, a compound AB4​(g) dissociates as 2AB4​(g)⇌A2​(g)+4B2​(g) with a degree of dissociation x, which is small compared with unity. The expression of Kp​ in terms of x and total pressure P is:

8P3x5

256P3x5

4Px2