Question

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

Answer 1

The correct answer is 12.

kp1​​=1+α1−α​p1​(1+αα​×p1​)2​
3=1−α2α2×p1​​

kp2​​=1+α1−α​×p2​(1+α2α​×p2​)2​
1=1−α24α2×p2​​
kp2​​kp1​​​=4p2​p1​​
13​=4p2​p1​​
∴p1​:p2​=12:1
x=12