The decomposition of a generic diatomic element in its standard state is represented by the equation X₂(g) →X(g) Assume that the standard molar Gibbs energy of formation of X(g) is 5.76 kJ mol at 2000. K and -49.35 kJ mol¹ at 3000. K. Determine the value of the thermodynamic equilibrium constant, K, at each temperature. At 2000. K, AGf = 5.76 kJ mol¹. What is K at that temperature? K at 2000. K = At 3000. K, AG₁ = -49.35 kJ mol. What is K at that temperature?

Chemistry
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The decomposition of a generic diatomic element in its standard state is represented by the equation:

\[
\frac{1}{2} X_2 (g) \rightarrow X(g)
\]

Assume that the standard molar Gibbs energy of formation of \( X(g) \) is \( 5.76 \, \text{kJ} \cdot \text{mol}^{-1} \) at 2000 K and \(-49.35 \, \text{kJ} \cdot \text{mol}^{-1} \) at 3000 K. Determine the value of the thermodynamic equilibrium constant, \( K \), at each temperature.

At 2000 K, \( \Delta G_f = 5.76 \, \text{kJ} \cdot \text{mol}^{-1} \). What is \( K \) at that temperature?

\[ 
K \text{ at 2000 K} = \, \_\_\_\_\_
\]

At 3000 K, \( \Delta G_f = -49.35 \, \text{kJ} \cdot \text{mol}^{-1} \). What is \( K \) at that temperature?

\[ 
K \text{ at 3000 K} = \, \_\_\_\_\_
\]
Transcribed Image Text:The decomposition of a generic diatomic element in its standard state is represented by the equation: \[ \frac{1}{2} X_2 (g) \rightarrow X(g) \] Assume that the standard molar Gibbs energy of formation of \( X(g) \) is \( 5.76 \, \text{kJ} \cdot \text{mol}^{-1} \) at 2000 K and \(-49.35 \, \text{kJ} \cdot \text{mol}^{-1} \) at 3000 K. Determine the value of the thermodynamic equilibrium constant, \( K \), at each temperature. At 2000 K, \( \Delta G_f = 5.76 \, \text{kJ} \cdot \text{mol}^{-1} \). What is \( K \) at that temperature? \[ K \text{ at 2000 K} = \, \_\_\_\_\_ \] At 3000 K, \( \Delta G_f = -49.35 \, \text{kJ} \cdot \text{mol}^{-1} \). What is \( K \) at that temperature? \[ K \text{ at 3000 K} = \, \_\_\_\_\_ \]
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