Questions: Methane and hydrogen sulfide react to form carbon disulfide and hydrogen, like this: CH4(g) + 2 H2S(g) → CS2(g) + 4 H2(g) Suppose a mixture of CH4, H2S, CS2, and H2 has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left. perturbation change in composition shift in equilibrium Some CS2 is added. The pressure of CH4 will ? The pressure of H2S will ? to the right to the left (none) Some H2S is removed. The pressure of CH4 will ? The pressure of CS2 will to the right to the left (none)

Methane and hydrogen sulfide react to form carbon disulfide and hydrogen, like this:
CH4(g) + 2 H2S(g) → CS2(g) + 4 H2(g)

Suppose a mixture of CH4, H2S, CS2, and H2 has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left.

perturbation  change in composition  shift in equilibrium
Some CS2 is added.  The pressure of CH4 will ? The pressure of H2S will ?  to the right to the left (none)
Some H2S is removed.  The pressure of CH4 will ? The pressure of CS2 will  to the right to the left (none)
Transcript text: Methane and hydrogen sulfide react to form carbon disulfide and hydrogen, like this: \[ \mathrm{CH}_{4}(\mathrm{~g})+2 \mathrm{H}_{2} \mathrm{~S}(\mathrm{~g}) \rightarrow \mathrm{CS}_{2}(\mathrm{~g})+4 \mathrm{H}_{2}(\mathrm{~g}) \] Suppose a mixture of $\mathrm{CH}_{4}, \mathrm{H}_{2} \mathrm{~S}, \mathrm{CS}_{2}$ and $\mathrm{H}_{2}$ has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left. \begin{tabular}{|c|c|c|} \hline perturbation & change in composition & shift in equilibrium \\ \hline Some $\mathrm{CS}_{2}$ is added. & \begin{tabular}{l} The pressure of $\mathrm{CH}_{4}$ will \\ $?$ \\ The pressure of $\mathrm{H}_{2} \mathrm{~S}$ will \\ $?$ \end{tabular} & to the right to the left (none) \\ \hline Some $\mathrm{H}_{2} \mathrm{~S}$ is removed. & \begin{tabular}{l} The pressure of $\mathrm{CH}_{4}$ will \\ $?$ \\ The pressure of $\mathrm{CS}_{2}$ will $\square$ \end{tabular} & to the right to the left (none) \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Understanding the Reaction and Equilibrium

The given reaction is: \[ \mathrm{CH}_{4}(\mathrm{~g}) + 2 \mathrm{H}_{2} \mathrm{~S}(\mathrm{~g}) \rightarrow \mathrm{CS}_{2}(\mathrm{~g}) + 4 \mathrm{H}_{2}(\mathrm{~g}) \] At equilibrium, the rates of the forward and reverse reactions are equal. Any perturbation will cause the system to shift in a direction that counteracts the change, according to Le Chatelier's principle.

Step 2: Analyzing the Addition of $\mathrm{CS}_{2}$

When $\mathrm{CS}_{2}$ is added to the system:

  • The system will try to reduce the concentration of $\mathrm{CS}_{2}$ by shifting the equilibrium to the left.
  • This shift will increase the concentrations of $\mathrm{CH}_{4}$ and $\mathrm{H}_{2} \mathrm{~S}$.
Step 3: Analyzing the Removal of $\mathrm{H}_{2} \mathrm{~S}$

When $\mathrm{H}_{2} \mathrm{~S}$ is removed from the system:

  • The system will try to increase the concentration of $\mathrm{H}_{2} \mathrm{~S}$ by shifting the equilibrium to the left.
  • This shift will increase the concentration of $\mathrm{CH}_{4}$ and decrease the concentration of $\mathrm{CS}_{2}$.

Final Answer

\[ \begin{array}{|c|c|c|} \hline \text{perturbation} & \text{change in composition} & \text{shift in equilibrium} \\ \hline \text{Some } \mathrm{CS}_{2} \text{ is added.} & \begin{array}{l} \text{The pressure of } \mathrm{CH}_{4} \text{ will increase} \\ \text{The pressure of } \mathrm{H}_{2} \mathrm{~S} \text{ will increase} \end{array} & \text{to the left} \\ \hline \text{Some } \mathrm{H}_{2} \mathrm{~S} \text{ is removed.} & \begin{array}{l} \text{The pressure of } \mathrm{CH}_{4} \text{ will increase} \\ \text{The pressure of } \mathrm{CS}_{2} \text{ will decrease} \end{array} & \text{to the left} \\ \hline \end{array} \]

\[ \boxed{\text{to the left}} \]

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