Assume that the system is at equilibrium as determined in CTQ \(13 .\) What will happen to the number of moles of \(\mathrm{PCl}_{3}\) present if some \(\mathrm{Cl}_{2}\) gas is suddenly injected into the box? Explain your reasoning.

Short Answer

Expert verified
The number of moles of \(\mathrm{PCl}_{3}\) will increase after injecting \(\mathrm{Cl}_{2}\) gas into the box.

Step by step solution

01

Analyze CTQ 13

Review the initial equilibrium state before the addition of the \(\mathrm{Cl}_{2}\) gas. Refer back to CTQ 13 to find out the equilibrium constants and concentrations of \(\mathrm{PCl}_{3}\) and \(\mathrm{Cl}_{2}\) before any changes. This will give a baseline from which to observe any shifts.
02

Apply Le Chatelier's Principle

After the \(\mathrm{Cl}_{2}\) gas is added, the concentration of \(\mathrm{Cl}_{2}\) will increase. According to Le Chatelier's principle, the system will try to alleviate this stress by shifting to reduce the concentration of \(\mathrm{Cl}_{2}\) and restore equilibrium. This will involve the forward reaction, hence increasing the quantity of \(\mathrm{PCl}_{3}\).
03

Conclude the Outcome

The addition of \(\mathrm{Cl}_{2}\) gas will cause the equilibrium to shift to the left, increasing the concentration of \(\mathrm{PCl}_{3}\). Observing the change in \(\mathrm{PCl}_{3}\) will confirm this effect.

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