At 700 K the following reaction is at equilibrium in a 1.00 L rigid container: The…

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

Problem

At 700 K the following reaction is at equilibrium in a 1.00 L rigid container:

2\,\mathrm{SO_2(g)} + \mathrm{O_2(g)} \rightleftharpoons 2\,\mathrm{SO_3(g)}

K_c = 1.5\times10^{3}

The equilibrium concentrations are

[\mathrm{SO_2}] = 0.100\,\text{M}

[\mathrm{O_2}] = 0.050\,\text{M}

[\mathrm{SO_3}] = 0.866\,\text{M}

. A steel cylinder is attached and

0.200\,\text{mol}

\mathrm{SO_2}

is rapidly injected into the container through a valve; the total volume remains 1.00 L and the temperature stays at 700 K. (1) Verify numerically that the initial concentrations listed above satisfy the equilibrium constant at 700 K. (2) Determine the reaction quotient

Q_c

immediately after the

\mathrm{SO_2}

injection and state the direction in which the system will proceed to reach a new equilibrium. (3) Using appropriate variables, set up all algebraic relationships required to calculate the new equilibrium concentrations of

\mathrm{SO_2}

\mathrm{O_2}

, and

\mathrm{SO_3}

. Then solve for these equilibrium concentrations to three significant figures. (4) Calculate the percent change in the concentration of

\mathrm{SO_3}

between the original and the new equilibrium states.

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