The equilibrium constants K_ P_1 and K_ P_2 for the reactions X leftharpoons 2 Y and Z leftharpoons P+Q , respectively are in the ratio of 1: 9 . If the degree of dissociation of X and Z be equal then the ratio of total

Correct answer: A. 1 : 36 aligned & X leftharpoons2 Y & 10 & (1-x) 2 x & k_ p_1 =((2 x)^2)/((1-x))((P_1)/(1+x))^1 & Z leftharpoonsP+Q & 100 & (1-x) x x & k_ p_2 = x^2 (1-x) ( P_2 1+x )^1 & 4 × P_1 P_2 =(1)/(9) P_1 P_2 =(1)/(36) & aligned

JEE Main 2008

Exam: JEE Main
Year: 2008
Subject: Chemistry
Chapter: Chemical Equilibrium

JEE Main 2008 · Chemistry · Chemical Equilibrium

The equilibrium constants K_ P_1 and K_ P_2 for the reactions X...

The equilibrium constants

K_{P_1}

and

K_{P_2}

for the reactions

X \rightleftharpoons 2 Y

and

Z \rightleftharpoons P+Q

, respectively are in the ratio of

1: 9

. If the degree of dissociation of

X

and

Z

be equal then the ratio of total pressure at these equilibria is

Options

A $1 : 36$
B $1 : 1$
C $1 : 3$
D $1 : 9$

Correct answer

A. $1 : 36$

Step-by-step solution

\begin{aligned}& X \rightleftharpoons2 Y \\ & 10 \\ & (1-x) \quad 2 x \\ & k_{p_1}=\frac{(2 x)^2}{(1-x)}\left(\frac{P_1}{1+x}\right)^1 \\ & Z \rightleftharpoonsP+Q \\ & 100 \\ & (1-x) \quad x \quad x \\ & \mathrm{k}_{\mathrm{p}_2}=\frac{\mathrm{x}^2}{(1-\mathrm{x})}\left(\frac{\mathrm{P}_2}{1+\mathrm{x}}\right)^1 \\ & \frac{4 \times \mathrm{P}_1}{\mathrm{P}_2}=\frac{1}{9} \Rightarrow \frac{\mathrm{P}_1}{\mathrm{P}_2}=\frac{1}{36}\\ & \end{aligned}

Practice Chemical Equilibrium on Quantrex Academy →

More from Chemical Equilibrium

Consider the following reactions in which all the reactants and products are present in… JEE Main 2026 Solid carbon, CaO and CaCO _3 are mixed and allowed to attain equilibrium at T K.… JEE Main 2026 In a closed flask at 600 K, one mole of X _2 Y _4 (g) attains equilibrium as given below… JEE Main 2026 One mole each of He and A(g) are taken in a 10 L closed flask and heated to 400 K to… JEE Main 2026 The reaction A(g) leftharpoons B(g) + C(g) was initiated with the amount ' a ' of A(g) .… JEE Main 2026 The values of pressure equilibrium constant recorded at different temperatures for the… JEE Main 2026 For the following reaction at 50° C and at 2 atm pressure, 2N_2O_5(g) leftharpoons… JEE Main 2026 At T(K) , the equilibrium constant of A_2(g) + B_2(g) leftharpoons C(g) is 2.7 × 10^ -5 .… JEE Main 2026 Full Chemical Equilibrium list All JEE Main PYQs