At 350 K, dinitrogen tetroxide decomposes according to the balanced equation A rigid…

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

Problem

At 350 K, dinitrogen tetroxide decomposes according to the balanced equation

\text{N}_2\text{O}_4(g) \rightleftharpoons 2\,\text{NO}_2(g)

A rigid 2.00 L container is charged with an unknown amount of

\text{N}_2\text{O}_4(g)

only. After the system reaches equilibrium at 350 K, analysis shows that the container holds 0.150 mol of

\text{NO}_2(g)

. The equilibrium constant at this temperature is

K_c = 0.144

. (a) Write the algebraic expression for

K_c

for this equilibrium in terms of the molar concentrations of the species present. (b) Calculate the equilibrium molar concentration of

\text{N}_2\text{O}_4(g)

in the container. Show all calculation steps and report the answer with the correct units. (c) Before the decomposition began, the container held 0.120 mol of

\text{N}_2\text{O}_4(g)

and no

\text{NO}_2(g)

. Determine the percentage of the original

\text{N}_2\text{O}_4

that decomposed by the time equilibrium was reached.

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