When the reaction $A+2 B \rightleftharpoons 2 C+D$ was studied, it was observed that the initial…

When the reaction $A+2 B \rightleftharpoons 2 C+D$ was studied, it was observed that the initial concentration of $B$ was 1.5 times that of $A$, and the equilibrium concentrations of $A$ and $C$ were equal. Then $K_C$ for the given equilibrium is equal to
  1. $4.1$
  2. $0.3$
  3. $2.5$
  4. $1.8$

Solution


Given, $[A]=[C]$ $a-x=2 x$ $\therefore \quad x=a / 3$ Now, $K_C=\frac{[C]^2[D]}{[A][B]^2}=\frac{\left(\frac{2 a}{3}\right)^2 \times \frac{a}{3}}{\left(a-\frac{a}{3}\right)\left(\frac{3 a}{2}-\frac{2 a}{3}\right)^2}$ $\therefore \quad K_C=0.3$

Asked in: AP EAMCET 2021 (23 Aug Shift 2)

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