The free energy change ΔGT at 2400 K is equal to 1.22 x 10^5J/mol. Calculate the equilibrium constant at 2400 K. Express your answer numerically.

Respuesta :

Answer:

K = 2.21 × 10⁻³

Explanation:

The Gibbs free energy change (ΔG°) at a temperature T = 2400 K is 1.22 × 10⁵ J/mol. We can calculate the equilibrium constant (K) using the following expression.

[tex]\Delta G\°=-R.T.lnK[/tex]

where,

R is the ideal gas constant (8.314 J/mol.K)

T is the absolute temperature

[tex]\Delta G\°=-R.T.lnK\\lnK=\frac{-\Delta G\°}{R.T} =\frac{-1.22 \times 10^{5}J/mol}{(8.314J/K.mol).2400K} \\K=2.21 \times 10^{-3}[/tex]