\(\mathrm{PCl}_{3}(g)+\mathrm{Cl}_{2}(g) \rightarrow \mathrm{PCl}_{5}(g) \Delta H=-92.5 \mathrm{kJ} / \mathrm{mol}\) In which of the following ways could the reaction above be manipulated to create more product? (A) Decreasing the concentration of \(\mathrm{PCl}_{3}\) (B) Increasing the pressure (C) Increasing the temperature (D) None of the above

Short Answer

Expert verified
The correct answer is (B) Increasing the pressure. By Le Chatelier's principle, increasing the pressure will favour the side with fewer moles of gas i.e., the products side (\(PCl_{5}\)), thereby producing more product.

Step by step solution

01

Analyze the Effect of Concentration

Firstly, according to Le Chatelier's principle, if the concentration of the reactants \(PCl_{3}\) or \(Cl_{2}\) is decreased, the equilibrium would shift to the left to compensate for this change. Thus, decreasing the concentration of \(PCl_{3}\) (option A) would not create more product \(PCl_{5}\). It would instead produce less product.
02

Analyze the Effect of Pressure

As for the effect of pressure, according to Le Chatelier's principle, an increase in pressure favors the side of the reaction with fewer moles of gas. In the given reaction: \(PCl_{3}(g)+ Cl_{2}(g) \rightarrow PCl_{5}(g)\), there are two moles of gas on the left and one mole of gas on the right. Therefore, increasing the pressure (option B) would shift the equilibrium to the right (the side with fewer moles of gas), thus producing more \(PCl_{5}\).
03

Analyze the Effect of Temperature

Finally, since the reaction is exothermic (\(\Delta H = -92.5 kJ/mol\)), increasing the temperature (option C) would add more heat to the system. According to Le Chatelier's principle, this would cause the system to counteract this change by moving in the direction that absorbs heat. In this case, that direction is the reverse reaction (to the left), which would consequently form less product (\(PCl_{5}\)). So, increasing the temperature would not create more product.

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