The equilibrium constant, K., for the following reaction is 5.32 at 716 K. 2NH3(g) N2(g) + 3H2(g) Calculate K, at this temperature for the following reaction: NH3(g) 1/2N2(g) + 3/2H2(g) K = |

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**Equilibrium Constant Calculation**

**The equilibrium constant, K<sub>c</sub>, for the following reaction is 5.32 at 716 K:**

\[ 2\text{NH}_3(g) \rightleftharpoons \text{N}_2(g) + 3\text{H}_2(g) \]

**Calculate K<sub>c</sub> at this temperature for the following reaction:**

\[ \text{NH}_3(g) \rightleftharpoons \frac{1}{2}\text{N}_2(g) + \frac{3}{2}\text{H}_2(g) \]

\[ K_c = \]

The equilibrium constant (K<sub>c</sub>) for the reaction 

\[ \text{NH}_3(g) \rightleftharpoons \frac{1}{2}\text{N}_2(g) + \frac{3}{2}\text{H}_2(g) \]

can be derived from the given reaction 

\[ 2\text{NH}_3(g) \rightleftharpoons \text{N}_2(g) + 3\text{H}_2(g) \]

Since the second reaction is exactly one-half of the first reaction, the equilibrium constant for the second reaction can be calculated using the relationship:

\[ K'_{c} = (K_{c})^{1/n} \]

where \( n \) is the factor by which the original reaction is multiplied (or divided, in this case, n = 2).

Therefore:

\[ K'_{c} = (5.32)^{1/2} \]

Perform the calculation to obtain the value of \( K'_{c} \).
Transcribed Image Text:**Equilibrium Constant Calculation** **The equilibrium constant, K<sub>c</sub>, for the following reaction is 5.32 at 716 K:** \[ 2\text{NH}_3(g) \rightleftharpoons \text{N}_2(g) + 3\text{H}_2(g) \] **Calculate K<sub>c</sub> at this temperature for the following reaction:** \[ \text{NH}_3(g) \rightleftharpoons \frac{1}{2}\text{N}_2(g) + \frac{3}{2}\text{H}_2(g) \] \[ K_c = \] The equilibrium constant (K<sub>c</sub>) for the reaction \[ \text{NH}_3(g) \rightleftharpoons \frac{1}{2}\text{N}_2(g) + \frac{3}{2}\text{H}_2(g) \] can be derived from the given reaction \[ 2\text{NH}_3(g) \rightleftharpoons \text{N}_2(g) + 3\text{H}_2(g) \] Since the second reaction is exactly one-half of the first reaction, the equilibrium constant for the second reaction can be calculated using the relationship: \[ K'_{c} = (K_{c})^{1/n} \] where \( n \) is the factor by which the original reaction is multiplied (or divided, in this case, n = 2). Therefore: \[ K'_{c} = (5.32)^{1/2} \] Perform the calculation to obtain the value of \( K'_{c} \).
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