contestada

For the reaction

N2(g) + O2(g)→2 NO(g) H° = 181 kJ and S° = 24.9 J/K G°

The equilibrium constant, K, would be greater than 1 at temperatures (above or below)._____. _______ Kelvin.

Respuesta :

Answer: The equilibrium constant, K, would be greater than 1 at temperatures above 7269 Kelvin.

Explanation:-

Using Gibbs Helmholtz equation:

[tex]\Delta G=\Delta H-T\Delta S[/tex]

Where: T= Temperature =

[tex]\Delta H[/tex] = enthalpy change = 181 kJ/mol = 181000 J/mol  (1kJ=1000J)

[tex]\Delta S[/tex] = entropy change=  24.9 J/Kmol

The Gibbs free energy is related to equilibrium constant by following relation:

[tex]\Delta G=-2.303RTlog K[/tex]

K > 1, when [tex]\Delta G<0[/tex]

Putting the values in the equation:

For [tex]\Delta G[/tex]< 0, [tex]T\Delta S[/tex] > [tex]\Delta H[/tex]

[tex]T\times 24.9>181000[/tex]

[tex]T>7269K[/tex]

Thus the equilibrium constant, K, would be greater than 1 at temperatures above 7269 Kelvin.