1. Tardigrade
  2. Question
  3. Chemistry
  4. 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:

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

Equilibrium

Solution:

$\underset{1-x}{2AB_{4} \left(g\right)} \rightleftharpoons \underset{\frac{x}{2}}{A_{2}\left(g\right)}+4B_{2}(g);\underset{2x}{\sum} n=\underset{1-x\simeq1}{1+\frac{3x}{2}\simeq1} $
$K_{P}=\frac{\left(\frac{x}{2}P\right)\left(\frac{2x}{1}\times P\right)^{4}}{\left(P\right)^{2}}=8P^{2}x^{5}$