The compound (mathrm{VCl}_{4}) undergoes dimerization in solution: [2 mathrm{VCl}_{4} ightleftharpoons mathrm{V}_{2} mathrm{Cl}_{8}] When (6.6834 mathrm{~g}) of (mathrm{VCl}_{4})

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The compound \(\mathrm{VCl}_{4}\) undergoes dimerization in solution:

\[2 \mathrm{VCl}_{4} ightleftharpoons \mathrm{V}_{2} \mathrm{Cl}_{8}\]

When \(6.6834 \mathrm{~g}\) of \(\mathrm{VCl}_{4}\) is dissolved in \(100.0 \mathrm{~g}\) of carbon tetrachloride, the freezing point is lowered by \(5.97^{\circ} \mathrm{C}\). Calculate the value of the equilibrium constant for the dimerization of \(\mathrm{VCl}_{4}\) at this temperature. (The density of the equilibrium mixture is \(1.696 \mathrm{~g} / \mathrm{cm}^{3}\), and \(K_{\mathrm{f}}=29.8^{\circ} \mathrm{C} \mathrm{kg} / \mathrm{mol}\) for \(\mathrm{CCl}_{4}\).)

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Chemical Principles

ISBN: 9780618946907

6th Edition

Authors: Steven S Zumdahl

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