AIIMS 2018 Chemistry Equilibrium Constant MCQ Question

To calculate the equilibrium constant $K_c$ for the reaction $A + B \rightleftharpoons 2C$, we use the equilibrium concentrations: $[C] = \frac{1}{10} \, \text{mol/L}$, $[A] = \frac{1.5}{10} \, \text{mol/L}$, and $[B] = \frac{1}{10} \, \text{mol/L}$. The expression for $K_c$ is given by $K_c = \frac{[C]^2}{[A][B]}$, which, when calculated, yields the correct value corresponding to option B. Other options are incorrect as they do not represent the proper equilibrium constant calculation based on the provided concentrations.