If the degree of dissociation and initial concentration of both the reactants X(g) and A(g) are equal, then the ratio of the total pressure at equilibrium is equal to : 1. The value of is ________ (Nearest integer). [2023]

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Solution

Q.
$(i) X (g) ⇌ Y (g) + Z (g), K p_{1} = 3$

$(ii) A (g) ⇌ 2 B (g), K p_{2} = 1$

If the degree of dissociation and initial concentration of both the reactants X(g) and A(g) are equal, then the ratio of the total pressure at equilibrium $(\frac{P_{1}}{P_{2}})$ is equal to $x$ : 1. The value of $x$ is ________ (Nearest integer). [2023]

Ans.
(12)

$X (g) ⇌ Y (g) + Z (g)$ $K_{P_{1}} = \frac{α^{2}}{1 - α^{2}} \times P_{1} = 3$

$A (g) ⇌ 2 B (g)$ $K_{P_{2}} = \frac{4 α^{2}}{1 - α^{2}} \times P_{2} = 1$

$\frac{K_{P_{1}}}{K_{P_{2}}} = \frac{P_{1}}{4 P_{2}} = \frac{3}{1}$

So, $(\frac{P_{1}}{P_{2}}) = 12$

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