(C) For reaction $(1)$: $A_{2(g)} + B_{2(g)} \leftrightarrows 2AB_{(g)}$ with equilibrium constant $K_1$.For reaction $(2)$: $6AB_{(g)} \leftrightarro

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(C) For reaction $(1)$: $A_{2(g)} + B_{2(g)} \leftrightarrows 2AB_{(g)}$ with equilibrium constant $K_1$.For reaction $(2)$: $6AB_{(g)} \leftrightarrows 3A_{2(g)} + 3B_{2(g)}$ with equilibrium constant $K_2$.Reaction $(2)$ is obtained by reversing reaction $(1)$ and multiplying by $3$.If a reaction is reversed,the equilibrium constant becomes $1/K$.If a reaction is multiplied by a factor $n$,the equilibrium constant becomes $K^n$.Therefore,$K_2 = (1/K_1)^3 = K_1^{-3}$.

Class 11 Chemistry 6-1.Equilibrium (Chemical Equilibrium)Kp and Kc Relationship

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Consider the following reversible chemical reactions:
$A_{2(g)} + B_{2(g)} \overset {K_1} \leftrightarrows 2AB_{(g)} ......(1)$
$6AB_{(g)} \overset {K_2} \leftrightarrows 3A_{2(g)} + 3B_{2(g)} ......(2)$
The relation between $K_1$ and $K_2$ is:

JEE MAIN 2019 All JEE MAIN

A
$K_1K_2 = \frac{1}{3}$
B
$K_2 = K_1^3$
C
$K_2 = K_1^{-3}$
D
$K_1K_2 = 3$

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6-1.Equilibrium (Chemical Equilibrium)

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Kp and Kc Relationship

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Consider the following reversible chemical reactions:$A_{2(g)} + B_{2(g)} \overset {K_1} \leftrightarrows 2AB_{(g)} ......(1)$$6AB_{(g)} \overset {K_2} \leftrightarrows 3A_{2(g)} + 3B_{2(g)} ......(2)$The relation between $K_1$ and $K_2$ is:

Similar Questions

For the reaction $SO_{2(g)} + 1/2 O_{2(g)} \rightleftharpoons SO_{3(g)}$,the equilibrium constant is $K_1$ at $298 \, K$. For the reaction $2SO_{3(g)} \rightleftharpoons 2SO_{2(g)} + O_{2(g)}$ at the same temperature,the equilibrium constant is $K_2$. Then,which of the following is correct?

For the reaction $3A_{(g)} + B_{(g)} \rightleftharpoons 2C_{(g)}$ at a given temperature,$K_c$ is $9.0$. What must be the volume of the flask if a mixture of $2.0 \ mol$ each of $A, B$ and $C$ is obtained at equilibrium? .....$L$

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For the reaction system $A_{(g)} \rightleftharpoons B_{(g)} + 2C_{(g)}$,if the equilibrium concentration of $B$ is doubled,the equilibrium concentration of $C$ will become ....

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Consider the following reversible chemical reactions:
$A_{2(g)} + B_{2(g)} \overset {K_1} \leftrightarrows 2AB_{(g)} ......(1)$
$6AB_{(g)} \overset {K_2} \leftrightarrows 3A_{2(g)} + 3B_{2(g)} ......(2)$
The relation between $K_1$ and $K_2$ is: