Consider the reaction of NH, and I, to give N, and HI. 2 NH, (g) + 3 L, (g) N,(g) + 6 HI(g) K Using two or more of the given equations, determine the equilibrium constant, K, for the reaction of NH, with L,. H, (g) + I,(g) = 2 HI(g) 1,(g) = 2 I(g) N,(g) + 3 H, (g) = 2 NH, (g) H, (g) + Cl, (g) = 2 HC1(g) Ka = 160 Kp = = 2.1 x 10-3 K. = 3.6 x 10-2 Ka = 4.0 × 1018

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### Determining the Equilibrium Constant for the Reaction of NH₃ and I₂

**Problem Statement**
Consider the reaction of NH₃ and I₂ to give N₂ and HI.

\[ 2 \text{NH}_3(g) + 3 \text{I}_2(g) \rightleftharpoons \text{N}_2(g) + 6 \text{HI}(g) \quad K \]

Using two or more of the given equations, determine the equilibrium constant, \( K \), for the reaction of NH₃ with I₂.

**Given Equations and Their Equilibrium Constants**

1. \[ \text{H}_2(g) + \text{I}_2(g) \rightleftharpoons 2 \text{HI}(g) \quad K_a = 160 \]
2. \[ \text{I}_2(g) \rightleftharpoons 2 \text{I}(g) \quad K_b = 2.1 \times 10^{-3} \]
3. \[ \text{N}_2(g) + 3 \text{H}_2(g) \rightleftharpoons 2 \text{NH}_3(g) \quad K_c = 3.6 \times 10^{-2} \]
4. \[ \text{H}_2(g) + \text{Cl}_2(g) \rightleftharpoons 2 \text{HCl}(g) \quad K_d = 4.0 \times 10^{18} \]

**Required Calculation**

\[
K = \_\_\_\_\_\_
\]

**Approach**

To determine the equilibrium constant \( K \) for the reaction \( 2 \text{NH}_3(g) + 3 \text{I}_2(g) \rightleftharpoons \text{N}_2(g) + 6 \text{HI}(g) \), we can manipulate and combine the given equations in such a way to match the target reaction. Note that the equilibrium constants for the target reaction will be the product or ratio of constants from the given reactions, adjusted for their respective stoichiometric coefficients.

By looking at what should be included or cancelled out step-by-step, we can deduce the overall \( K \) value for the reaction.

Finally, once the procedure is followed, the equilibrium
Transcribed Image Text:### Determining the Equilibrium Constant for the Reaction of NH₃ and I₂ **Problem Statement** Consider the reaction of NH₃ and I₂ to give N₂ and HI. \[ 2 \text{NH}_3(g) + 3 \text{I}_2(g) \rightleftharpoons \text{N}_2(g) + 6 \text{HI}(g) \quad K \] Using two or more of the given equations, determine the equilibrium constant, \( K \), for the reaction of NH₃ with I₂. **Given Equations and Their Equilibrium Constants** 1. \[ \text{H}_2(g) + \text{I}_2(g) \rightleftharpoons 2 \text{HI}(g) \quad K_a = 160 \] 2. \[ \text{I}_2(g) \rightleftharpoons 2 \text{I}(g) \quad K_b = 2.1 \times 10^{-3} \] 3. \[ \text{N}_2(g) + 3 \text{H}_2(g) \rightleftharpoons 2 \text{NH}_3(g) \quad K_c = 3.6 \times 10^{-2} \] 4. \[ \text{H}_2(g) + \text{Cl}_2(g) \rightleftharpoons 2 \text{HCl}(g) \quad K_d = 4.0 \times 10^{18} \] **Required Calculation** \[ K = \_\_\_\_\_\_ \] **Approach** To determine the equilibrium constant \( K \) for the reaction \( 2 \text{NH}_3(g) + 3 \text{I}_2(g) \rightleftharpoons \text{N}_2(g) + 6 \text{HI}(g) \), we can manipulate and combine the given equations in such a way to match the target reaction. Note that the equilibrium constants for the target reaction will be the product or ratio of constants from the given reactions, adjusted for their respective stoichiometric coefficients. By looking at what should be included or cancelled out step-by-step, we can deduce the overall \( K \) value for the reaction. Finally, once the procedure is followed, the equilibrium
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