For reactions carried out under standard-state conditions, the equation AG= AH- TAS becomes AG =H - TAS.Assuming AH and AS equation: are independent of temperature, one can derive the K2 AH T2-T1 In- K1 R where K and K2 are the equilibrium constants at T1 and T2, respectively. Given that at 25.0°C, K, is 4.63 x 103 for the reaction N204(g) 5 2NO2(g) AH = 58.0 kJ/mol calculate the equilibrium constant at 63.0°C. K =

Chemistry
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Chapter1: Chemical Foundations
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For reactions carried out under standard-state conditions, the equation \( \Delta G = \Delta H - T \Delta S \) becomes

\[ \Delta G^\circ = \Delta H^\circ - T \Delta S^\circ \]

Assuming \( \Delta H^\circ \) and \( \Delta S^\circ \) are independent of temperature, one can derive the equation:

\[ \ln \left( \frac{K_2}{K_1} \right) = \frac{\Delta H^\circ}{R} \left( \frac{T_2 - T_1}{T_1 T_2} \right) \]

where \( K_1 \) and \( K_2 \) are the equilibrium constants at \( T_1 \) and \( T_2 \), respectively. Given that at 25.0°C, \( K_c \) is \( 4.63 \times 10^{-3} \) for the reaction

\[ \text{N}_2\text{O}_4(\text{g}) \rightleftharpoons 2\text{NO}_2(\text{g}) \]

\[ \Delta H^\circ = 58.0 \, \text{kJ/mol} \]

calculate the equilibrium constant at 63.0°C.

\[ K_c = \_\_\_\_\_ \]
Transcribed Image Text:For reactions carried out under standard-state conditions, the equation \( \Delta G = \Delta H - T \Delta S \) becomes \[ \Delta G^\circ = \Delta H^\circ - T \Delta S^\circ \] Assuming \( \Delta H^\circ \) and \( \Delta S^\circ \) are independent of temperature, one can derive the equation: \[ \ln \left( \frac{K_2}{K_1} \right) = \frac{\Delta H^\circ}{R} \left( \frac{T_2 - T_1}{T_1 T_2} \right) \] where \( K_1 \) and \( K_2 \) are the equilibrium constants at \( T_1 \) and \( T_2 \), respectively. Given that at 25.0°C, \( K_c \) is \( 4.63 \times 10^{-3} \) for the reaction \[ \text{N}_2\text{O}_4(\text{g}) \rightleftharpoons 2\text{NO}_2(\text{g}) \] \[ \Delta H^\circ = 58.0 \, \text{kJ/mol} \] calculate the equilibrium constant at 63.0°C. \[ K_c = \_\_\_\_\_ \]
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