2. Molecular nitrogen (N2) reacts with water vapor to form nitrogen monoxide (NO) and molecular hydrogen (H2). At some temperature a reaction system containing all four gases has been allowed come to equilibrium and the partial pressures of the gases are: PN2 = 0.12 atm, PH20 = 0.082, PNo = 0.55 atm, and PH2 = 0.76 atm. Another system contains the same reactants and products at the following pressures: PN2 = 0.15 atm, PH20 = 0.12, PNo = 0.87 atm, and PH2 = 0.76 atm. Is this second system at equilibrium? If not, how will the reaction shift to reach equilibrium? N2(g) + 2 H20(g) =2 NO(g) + 2 H2(g)

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**Equilibrium and Reaction Shift Analysis**

**Problem Statement:**

Molecular nitrogen (\(N_2\)) reacts with water vapor to form nitrogen monoxide (NO) and molecular hydrogen (\(H_2\)). At a certain temperature, a reaction system containing all four gases has been allowed to come to equilibrium. The partial pressures of the gases at equilibrium are as follows:

- \(P_{N_2} = 0.12 \, \text{atm}\)
- \(P_{H_2O} = 0.082 \, \text{atm}\)
- \(P_{NO} = 0.55 \, \text{atm}\)
- \(P_{H_2} = 0.76 \, \text{atm}\)

Another system contains the same reactants and products at the following pressures:

- \(P_{N_2} = 0.15 \, \text{atm}\)
- \(P_{H_2O} = 0.12 \, \text{atm}\)
- \(P_{NO} = 0.87 \, \text{atm}\)
- \(P_{H_2} = 0.76 \, \text{atm}\)

**Question:**

Is this second system at equilibrium? If not, how will the reaction shift to reach equilibrium?

**Chemical Reaction Equation:**

\[ N_2(g) + 2 \, H_2O(g) \rightleftharpoons 2 \, NO(g) + 2 \, H_2(g) \]

**Analysis:**

1. **Equilibrium Constant Expression (\(K_p\)):**

   The equilibrium constant expression for this reaction in terms of partial pressures is given by:

   \[
   K_p = \frac{(P_{NO})^2 (P_{H_2})^2}{(P_{N_2}) (P_{H_2O})^2}
   \]

2. **Calculate \(K_p\) for the Equilibrium System:**

   Substitute the given equilibrium pressures into the expression to find \(K_p\).

3. **Calculate the Reaction Quotient (\(Q_p\)) for the Second System:**

   Using the same expression, calculate \(Q_p\) using the pressures from the second system.

4. **Compare \(K_p\) and \(Q_p\):**

   -
Transcribed Image Text:**Equilibrium and Reaction Shift Analysis** **Problem Statement:** Molecular nitrogen (\(N_2\)) reacts with water vapor to form nitrogen monoxide (NO) and molecular hydrogen (\(H_2\)). At a certain temperature, a reaction system containing all four gases has been allowed to come to equilibrium. The partial pressures of the gases at equilibrium are as follows: - \(P_{N_2} = 0.12 \, \text{atm}\) - \(P_{H_2O} = 0.082 \, \text{atm}\) - \(P_{NO} = 0.55 \, \text{atm}\) - \(P_{H_2} = 0.76 \, \text{atm}\) Another system contains the same reactants and products at the following pressures: - \(P_{N_2} = 0.15 \, \text{atm}\) - \(P_{H_2O} = 0.12 \, \text{atm}\) - \(P_{NO} = 0.87 \, \text{atm}\) - \(P_{H_2} = 0.76 \, \text{atm}\) **Question:** Is this second system at equilibrium? If not, how will the reaction shift to reach equilibrium? **Chemical Reaction Equation:** \[ N_2(g) + 2 \, H_2O(g) \rightleftharpoons 2 \, NO(g) + 2 \, H_2(g) \] **Analysis:** 1. **Equilibrium Constant Expression (\(K_p\)):** The equilibrium constant expression for this reaction in terms of partial pressures is given by: \[ K_p = \frac{(P_{NO})^2 (P_{H_2})^2}{(P_{N_2}) (P_{H_2O})^2} \] 2. **Calculate \(K_p\) for the Equilibrium System:** Substitute the given equilibrium pressures into the expression to find \(K_p\). 3. **Calculate the Reaction Quotient (\(Q_p\)) for the Second System:** Using the same expression, calculate \(Q_p\) using the pressures from the second system. 4. **Compare \(K_p\) and \(Q_p\):** -
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