Chemistry · Equilibrium involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, the significance of Delta G and Delta G° in chemical equilibrium

For the system }+\mathbf{2} \boldsymbol{B}_{(\boldsymbol{g})} \rightleftharpoons

For the system \( \boldsymbol{A}_{(g)}+\mathbf{2} \boldsymbol{B}_{(\boldsymbol{g})} \rightleftharpoons \boldsymbol{C}_{(g)}, \) the equilibrium concentrations are \( \boldsymbol{A}=\mathbf{0 . 0 6} \boldsymbol{m o l} \boldsymbol{L}^{-1} \) \( \boldsymbol{B}=\mathbf{0 . 1 2} \boldsymbol{m o l} \boldsymbol{L}^{-1} \) \( \boldsymbol{C}=\mathbf{0 . 2 1 6} \boldsymbol{m o l} \boldsymbol{L}^{-1} \) Then \( K_{c} \) for the reaction is

  • A. 250
  • B. 416
  • C. 450 \)
  • D. 525

Step-by-step solution

The equilibrium constant Kc for the reaction A(g) + 2B(g) ⇌ C(g) is given by Kc = [C]/([A][B]^2). Substituting the given concentrations: [C]=0.216 M, [A]=0.06 M, [B]=0.12 M. Compute denominator: [A][B]^2 = 0.06 * (0.12)^2 = 0.06 * 0.0144 = 0.000864. Then Kc = 0.216 / 0.000864 = 250.
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