Consider the reaction: P(s) + 3/2Cl₂ (g) ⇒ PCl3 (g) Write the equilibrium constant for this reaction in terms of the equilibrium constants, K₁ and K₂, for the reactions below: P(s) + 5/2Cl₂ (g) ⇒PC15 (9) K₁ PC13 (g) + Cl₂ (9) ⇒ PC15 (9) K₂ For answers with both a subscript and a superscript, enter the subscript first. For example, enter K² if the first equilibrium constant should be squared. K =

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Consider the reaction:

\[ \text{P (s)} + \frac{3}{2}\text{Cl}_2 \text{(g)} \rightleftharpoons \text{PCl}_3 \text{(g)} \]

Write the equilibrium constant for this reaction in terms of the equilibrium constants, \( K_1 \) and \( K_2 \), for the reactions below:

\[ \text{P (s)} + \frac{5}{2}\text{Cl}_2 \text{(g)} \rightleftharpoons \text{PCl}_5 \text{(g)} \quad K_1 \]

\[ \text{PCl}_3 \text{(g)} + \text{Cl}_2 \text{(g)} \rightleftharpoons \text{PCl}_5 \text{(g)} \quad K_2 \]

*For answers with both a subscript and a superscript, enter the subscript first. For example, enter \( K_1^2 \) if the first equilibrium constant should be squared.*

\[ K = \boxed{} \]
Transcribed Image Text:Consider the reaction: \[ \text{P (s)} + \frac{3}{2}\text{Cl}_2 \text{(g)} \rightleftharpoons \text{PCl}_3 \text{(g)} \] Write the equilibrium constant for this reaction in terms of the equilibrium constants, \( K_1 \) and \( K_2 \), for the reactions below: \[ \text{P (s)} + \frac{5}{2}\text{Cl}_2 \text{(g)} \rightleftharpoons \text{PCl}_5 \text{(g)} \quad K_1 \] \[ \text{PCl}_3 \text{(g)} + \text{Cl}_2 \text{(g)} \rightleftharpoons \text{PCl}_5 \text{(g)} \quad K_2 \] *For answers with both a subscript and a superscript, enter the subscript first. For example, enter \( K_1^2 \) if the first equilibrium constant should be squared.* \[ K = \boxed{} \]
A student ran the following reaction in the laboratory at 477 K:

\[ \text{PCl}_5(\text{g}) \rightleftharpoons \text{PCl}_3(\text{g}) + \text{Cl}_2(\text{g}) \]

When he introduced \(\text{PCl}_5(\text{g})\) at a pressure of 1.12 atm into a 1.00 L evacuated container, he found the equilibrium partial pressure of \(\text{PCl}_5(\text{g})\) to be 0.755 atm.

Calculate the equilibrium constant, \( K_p \), he obtained for this reaction.

\[ K_p = \] (space for answer)

The problem involves a gaseous equilibrium where phosphorus pentachloride (\(\text{PCl}_5\)) dissociates into phosphorus trichloride (\(\text{PCl}_3\)) and chlorine gas (\(\text{Cl}_2\)). The reaction was studied at a temperature of 477 K, where the initial pressure and equilibrium pressures are given. The objective is to calculate the equilibrium constant \( K_p \) based on the pressures at equilibrium.
Transcribed Image Text:A student ran the following reaction in the laboratory at 477 K: \[ \text{PCl}_5(\text{g}) \rightleftharpoons \text{PCl}_3(\text{g}) + \text{Cl}_2(\text{g}) \] When he introduced \(\text{PCl}_5(\text{g})\) at a pressure of 1.12 atm into a 1.00 L evacuated container, he found the equilibrium partial pressure of \(\text{PCl}_5(\text{g})\) to be 0.755 atm. Calculate the equilibrium constant, \( K_p \), he obtained for this reaction. \[ K_p = \] (space for answer) The problem involves a gaseous equilibrium where phosphorus pentachloride (\(\text{PCl}_5\)) dissociates into phosphorus trichloride (\(\text{PCl}_3\)) and chlorine gas (\(\text{Cl}_2\)). The reaction was studied at a temperature of 477 K, where the initial pressure and equilibrium pressures are given. The objective is to calculate the equilibrium constant \( K_p \) based on the pressures at equilibrium.
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