Answered: At a certain temperature, Kc = 0.18 for…

Introduction to General, Organic and Biochemistry

11th Edition

ISBN:9781285869759

Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres

Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres

Chapter7: Reaction Rates And Chemical Equilibrium

Section: Chapter Questions

Problem 7.81P

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Question

At a certain temperature, Kc = 0.18 for the following reaction:
PCl3 (g) + Cl2 (g) PCl5 (g)
Suppose a reaction vessel at this temperature contained these three gases at the following concentrations:
[PCl3] = 0.420 M, [Cl2] = 0.240 M, [PCl5] = 0.00500 M:

(10a): Is the system in a state of equilibrium? Justify your answer with a calculation.
(10b): If the system is not in equilibrium, which direction will the reaction proceed to reach equilibrium?

Expert Solution

Step 1

10 a) Given

[PCl₃] = 0.420 M
[Cl₂] = 0.240 M
[PCl₅] = 0.00500 M
K_C = 0.18 M

The balanced chemical reaction is -

PCl₃ (g) + Cl₂ (g) $\to$ PCl₅ (g)

The equilibrium constant expression is given by -

$Q = \frac{[0.00500]}{[0.420] [0.240]}$

Q = 0.049

As the value of Q $\neq$ K_C , the given reaction is not at equilibrium.

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