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Question: Answered & Verified by Expert
1 mole of $\mathrm{HI}$ is heated in a closed container of capacity of $2 \mathrm{~L}$. At equilibrium half a mole of $\mathrm{HI}$ is dissociated.
The equilibrium constant of the reaction is
ChemistryChemical EquilibriumKCETKCET 2022
Options:
  • A 0.5
  • B 0.25
  • C 0.35
  • D 1
Solution:
1288 Upvotes Verified Answer
The correct answer is: 0.25
$2 \mathrm{HI} \rightleftharpoons \mathrm{H}_2+\mathrm{I}_2$
Initial mole : 1 x $x$
Final mole: $(1-x) \quad x / 2 \quad x / 2$

$$
K_C=\frac{x^2}{4(1-x)^2}
$$
By putting the value of $x=1 / 2$, we get,
$$
K_C=\frac{1 / 4}{4(1-1 / 2)^2}=0.25
$$

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