Equilibrium constant calculation

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Consider the reaction \(\mathrm{A(g)} + 2\mathrm{B(g)} \rightleftharpoons 2\mathrm{C(g)}\). At equilibrium at 600 K, the concentrations are \([\mathrm{A}] = 2\ mol\,dm^{-3}\), \([\mathrm{B}] = 1\ mol\,dm^{-3}\) and \([\mathrm{C}] = 2\ mol\,dm^{-3}\). Calculate the equilibrium constant \(K_c\) at 600 K.

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Hint

Use the expression \(K_c = \frac{[\mathrm{C}]^2}{[\mathrm{A}][\mathrm{B}]^2}\) and substitute the given concentrations.

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