# Problem: The equilibrium constant is 0.0900 at 25ºC for the reaction H2O(g) + Cl2O(g) ⇌ 2HOCl(g)For which of the following sets of conditions is the system at equilibrium? For those that are not at equilibrium, in which direction will the system shift? a. A 1.0-L flask contains 1.0 mole of HOCl, 0.10 mole of Cl 2O, and 0.10 mole of H2O.b. A 2.0-L flask contains 0.084 mole of HOCl, 0.080 mole of Cl 2O, and 0.98 mole of H2O. c. A 3.0-L flask contains 0.25 mole of HOCl, 0.0010 mole of Cl 2O, and 0.56 mole of H2O.

###### FREE Expert Solution

For this problem, we are being asked to determine which of the following sets of conditions is the system at equilibrium and for those that are not at equilibrium, in which direction will the system shift

Step 1. Setup the Q expression and find Q

Step 2. Determine the direction the equilibrium will favor by comparing Q and K

Step 1. We will use the reaction quotient, Q, to determine if a chemical reaction would be at equilibrium or not. The formula for Q is:

$\overline{){\mathbf{Q}}{\mathbf{=}}\frac{\mathbf{products}}{\mathbf{reactants}}}$

Depending on if Q is greater than or less than K our reaction will shift to attain equilibrium by reaching the equilibrium constant K:

If Q = K           → the reaction is at equilibrium
If Q < K           → the reaction shifts in the forward direction to reach equilibrium
If Q > K           → the reaction shifts in the reverse direction to reach equilibrium

Calculating Q for the given reaction:

$\overline{){\mathbf{Q}}{\mathbf{=}}\frac{\mathbf{products}}{\mathbf{reactants}}{\mathbf{=}}\frac{{\left[\mathrm{HOCl}\right]}^{\mathbf{2}}}{\left[{\mathrm{Cl}}_{2}\right]\left[{\mathrm{Cl}}_{2}O\right]}}$

92% (331 ratings) ###### Problem Details

The equilibrium constant is 0.0900 at 25ºC for the reaction

H2O(g) + Cl2O(g) ⇌ 2HOCl(g)

For which of the following sets of conditions is the system at equilibrium? For those that are not at equilibrium, in which direction will the system shift?

a. A 1.0-L flask contains 1.0 mole of HOCl, 0.10 mole of Cl 2O, and 0.10 mole of H2O.

b. A 2.0-L flask contains 0.084 mole of HOCl, 0.080 mole of Cl 2O, and 0.98 mole of H2O.

c. A 3.0-L flask contains 0.25 mole of HOCl, 0.0010 mole of Cl 2O, and 0.56 mole of H2O.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Reaction Quotient concept. You can view video lessons to learn The Reaction Quotient. Or if you need more The Reaction Quotient practice, you can also practice The Reaction Quotient practice problems.

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Based on our data, we think this problem is relevant for Professor Benjamin's class at UF.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.