$8 \mathrm{~mol}$ of $A B_{3}(g)$ are introduced into a $1.0 \mathrm{dm}^{3}$ vessel. If it dissociates as…

$8 \mathrm{~mol}$ of $A B_{3}(g)$ are introduced into a $1.0 \mathrm{dm}^{3}$ vessel. If it dissociates as $2 A B_{3}(g) ightleftharpoons A_{2}(g)+3 B_{2}(g) .$ At equilibrium, 2 mol of $A_{2}$ are found to be present. The equilibrium constant of this reaction is
  1. 2
  2. 3
  3. 27
  4. 36

Solution



now
$K_{C}=\frac{\left[A_{2}ight]\left[B_{2}ight]^{3}}{\left[A B_{3}ight]^{2}}=\frac{2 / 1 \times[6 / 1]^{3}}{[4 / 1]^{2}}=27$ *

Asked in: JEE-TOPICTESTS-CHEMISTRY

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