In a reaction $\mathrm{A}+\mathrm{B} ightleftharpoons \mathrm{C}+\mathrm{D}$, the initial concentrations, of…

In a reaction $\mathrm{A}+\mathrm{B} ightleftharpoons \mathrm{C}+\mathrm{D}$, the initial concentrations, of $\mathrm{A}$ and $\mathrm{B}$ were $0.9 \mathrm{~mol} . \mathrm{dm}^{-3}$ each. At equilibrium the concentration of D was found to be $0.6 \mathrm{~mol} \mathrm{dm}^{-3}$. What is the value of equilibrium constant for the reaction
  1. 8
  2. 4
  3. 9
  4. 3

Solution

\(\begin{array}{cc} & \mathrm{A}+\mathrm{B} & ightleftharpoons & \mathrm{C}+\mathrm{D} \\ \text{Initial} & 0.9 \quad 0.9 & & 0 \quad 0 \\ \text{At eqm.} & 0.3 \quad 0.3 & & 0.6 \quad 0.6 \\ \end{array}\)
$\mathrm{K}_{\mathrm{c}}=\frac{0.6 \times 0.6}{0.3 \times 0.3}=4$ .

Asked in: JEE-TOPICTESTS-CHEMISTRY

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