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Use standard thermodynamic data to determine the equilibrium constant, K, for th

ID: 514657 • Letter: U

Question

Use standard thermodynamic data to determine the equilibrium constant, K, for the following reaction (note that delta G_f degree (NOCl) = +66.99 kJ/mol and others are on the hack of the periodic table): 2 NO _(g) + Cl_2 (g) 2 NOCl_(g) Calculate the Gibbs free energy change for the following reaction at 298.0 K. when the partial pressures of NO, Cl_2, and NOCl are 0.0160 bar. 0.0110 bar, and 5.26 bar, respectively. Indicate whether this reaction mixture is likely to form reactants, is likely to form products, or is at equilibrium.

Explanation / Answer

Apply

dG = dG° + RT*ln(Q)

dG° = dGproducts - dGreactants = 2*66.9 - (2*87.6 + 1*0) = -41.4 kJ = -41400

R = 8.31 J/molK

T = 298K

Q = P-NOCl^2 / (P-NO)^2(P-Cl2)

Q = (5.26^2)/((0.016^2)(0.011)) = 9825142.04545

dG = dG° + RT*ln(Q)

dG = dG° + RT*ln(Q)

dG = -41400 +8.314*298*ln(9825142.04545) = -1509.963 J/molK

dG = -1.51 kJ/mol