Question

(i) $X(g)\rightleftharpoons Y(g)+Z$ (g) $K_{p1}=3$
(ii) $A(g)\rightleftharpoons 2B(g)K_{p2}=1$
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 $\left(\frac{p_1}{p_2}\right)$ is equal to $x:1$. The value of $x$ is _________ (Nearest integer)

Answer 1

Answer: 12

$k_{p_1}=\frac{{\left(\frac{\alpha }{1+\alpha }\times p_1\right)}^2}{\frac{1-\alpha }{1+\alpha }{p}_1}$
$3=\frac{{\alpha }^2\times p_1}{1-{\alpha }^2}$

$k_{p_2}=\frac{{\left(\frac{2\alpha }{1+\alpha }\times p_2\right)}^2}{\frac{1-\alpha }{1+\alpha }\times p_2}$
$1=\frac{4{\alpha }^2\times p_2}{1-{\alpha }^2}$
$\frac{k_{p_1}}{k_{p_2}}=\frac{p_1}{4p_2}$
$\frac{3}{1}=\frac{p_1}{4p_2}$
$\therefore p_1:p_2=12:1$
$x=12$