At certain temperature- compound AB2g dissociates according to the reaction- 2AB2g - 2ABg-B2g with degree of dissociation - which is negligible compared with unity- the expression of KP- in terms of - and initial pressure P-

Given equilibrium is, 2AB_2(g) amp;⇌ amp; 2AB(g) amp;+ amp;B_2(g) P amp; amp;0 amp; amp;0 P(1 α ) amp; amp;Pα amp; amp;Pα2 nbsp; ∴ ...

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Standard XII

Chemistry

Vant Hoff's Equation and Effect of Temperature on Equilibrium Constant

At certain te...

Question

At certain temperature, compound $A B_{2} (g)$ dissociates according to the reaction, $2 A B_{2} (g) ⇌ 2 A B (g) + B_{2} (g)$ with degree of dissociation $α$ , which is negligible compared with unity, the expression of $K_{P}$ , in terms of $α$ and initial pressure $P$ .

P \frac{α^{3}}{2}

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P \frac{α^{2}}{3}

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P \frac{α^{3}}{3}

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\frac{P α^{2}}{2}

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Solution

The correct option is A $P \frac{α^{3}}{2}$
Given equilibrium is,
$\begin{matrix} 2 A B_{2} (g) & ⇌ & 2 A B (g) & + & B_{2} (g) P & 0 & 0 P (1 - α) & P α & \frac{P α}{2} \end{matrix}$
$∴ K_{P} = \frac{(P α)^{2} . \frac{P α}{2}}{(P (1 - α))^{2}}, 1 - α << 1$

$\Rightarrow K_{P} = P \frac{α^{3}}{2}$

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At certain temperature, compound AB2(g) dissociates according to the reaction, 2AB2(g)⇌2AB(g)+B2(g) with degree of dissociation α, which is negligible compared with unity, the expression of KP, in terms of α and initial pressure P.

The correct option is A Pα32Given equilibrium is, 2AB2(g)⇌2AB(g)+B2(g)P00P(1−α)PαPα2 ∴ KP=(Pα)2.Pα2(P(1−α))2, 1−α<<1 ⇒KP=Pα32

At certain temperature, compound $A B_{2} (g)$ dissociates according to the reaction, $2 A B_{2} (g) ⇌ 2 A B (g) + B_{2} (g)$ with degree of dissociation $α$ , which is negligible compared with unity, the expression of $K_{P}$ , in terms of $α$ and initial pressure $P$ .