Phosgene is produced by the reaction CO(g) + Cl_2(g) ; ; COCl_2(g) A rigid 2.50 L…

CHEMISTRY · Multi-part · A Level · Chemistry · Chemical equilibria (Le Chatelier’s principle and Kc) · Chemical equilibria (Le Chatelier’s principle and Kc)

Problem

Phosgene is produced by the reaction CO(g)+Cl2(g)  ⇌  COCl2(g)\mathrm{CO(g)}+\mathrm{Cl_2(g)}\;\rightleftharpoons\;\mathrm{COCl_2(g)} A rigid 2.50 L vessel at constant temperature contains the following gases at equilibrium: • 45 CO molecules • 45 Cl₂ molecules • 90 COCl₂ molecules • 300 Ar atoms (inert) Each particle corresponds to 5.00×10205.00\times10^{20} molecules (or atoms) of that species. NA=6.022×1023 mol−1N_{A}=6.022\times10^{23}\,\text{mol}^{-1}. (a) Write the equilibrium-constant expression KcK_c for the reaction. (b) Determine the value of KcK_c at this temperature. Include unit analysis and significant figures. (c) Express your answer to part (b) in scientific notation with three significant figures. (d) Explain whether the addition of the 300 Ar atoms has any effect on the value of KcK_c. Support your explanation with appropriate reasoning about equilibrium constants.

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