A sample of pure PCl_{5} was introduced into | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the concentrations of both $PCl_{3}$ and $Cl_{2}$ at equilibrium be $x \, mol \, L^{-1}$.The given reaction is:$PCl_{5(g)} \longleftrightarrow

Vedclass · Accepted Answer

$0.02 \, mol \, L^{-1}$

Vedclass · Answer

(A) Let the concentrations of both $PCl_{3}$ and $Cl_{2}$ at equilibrium be $x \, mol \, L^{-1}$.The given reaction is:$PCl_{5(g)} \longleftrightarrow PCl_{3(g)} + Cl_{2(g)}$At equilibrium,the concentrations are:$[PCl_{5}] = 0.5 	imes 10^{-1} \, mol \, L^{-1}$$[PCl_{3}] = x \, mol \, L^{-1}$$[Cl_{2}] = x \, mol \, L^{-1}$The equilibrium constant expression is:$K_{c} = \frac{[PCl_{3}][Cl_{2}]}{[PCl_{5}]}$Substituting the given values:$8.3 	imes 10^{-3} = \frac{x 	imes x}{0.5 	imes 10^{-1}}$$x^{2} = 8.3 	imes 10^{-3} 	imes 0.5 	imes 10^{-1}$$x^{2} = 4.15 	imes 10^{-4}$$x = \sqrt{4.15 	imes 10^{-4}} \approx 2.04 	imes 10^{-2} \, mol \, L^{-1}$Thus,$[PCl_{3}] = [Cl_{2}] \approx 0.02 \, mol \, L^{-1}$.

Similar Questions

The least stable oxide of nitrogen is:

The equilibrium constant for the reaction,$N_2 + 3H_2 \rightleftharpoons 2NH_3$ at $400 \ K$ is $41$. The equilibrium constant for the reaction,$\frac{1}{2} N_2 + \frac{3}{2} H_2 \rightleftharpoons NH_3$ at the same temperature will be closest to

$15$ moles of $H_2$ and $5.2$ moles of $I_2$ are mixed and allowed to attain equilibrium at $500 \, ^oC$. At equilibrium,the concentration of $HI$ is found to be $10$ moles. The equilibrium constant for the formation of $HI$ is

For the reaction $2 H_{2(g)} + 2 NO_{(g)} \rightarrow N_{2(g)} + 2 H_2O_{(g)}$,the observed rate expression is $rate = k_f [NO]^2 [H_2]$. The rate expression of the reverse reaction is:

At a given temperature,the equilibrium constant for the reaction $PCl_{5(g)} \rightleftharpoons PCl_{3(g)} + Cl_{2(g)}$ is $2.4 \times 10^{-3}$. At the same temperature,the equilibrium constant for the reaction $PCl_{3(g)} + Cl_{2(g)} \rightleftharpoons PCl_{5(g)}$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module