Question

This is one question but answering this question step by step from A to N, can simplify the question.

One of the most important reactions in the fixation of nitrogen for agriculture is known as the Haber Process for making ammonia shown below.

(1/2)N₂ + bH₂ ? cNH₃

a) Balance to chemical equation.

b=  
c=

b) Calculate the standard enthalpy of reaction at 298.15 K for the assigned stoichiometry.(kJ/mol)

c) Calculate the Standard Gibbs energy of reaction at 298.15 K for the assigned stoichiometry.(kJ/mol)

d) Calculate K_{a,298.15 K}, the equilibrium constant for the reaction at 298.15 K.

e) Calculate K_a,640 at 640 K using the short-cut van't Hoff equation.

f) Enter the equation for the equilibrium constant using partial pressures of the components in algebraic form. The variables you should use are pNH3, pH2, pN2, are the partial pressures of NH₃, H₂, N₂ respectively.

g) Enter the equation for the equilibrium constant using total pressure and mole fractions. The variables you should use are yNH3, yH2, yN2, for the mole fractions of NH₃, H₂, N₂ respectively and the total pressure, P.

h) Assuming that the moles fed into the reactor are 3 of nitrogen and 3 of hydrogen develop an algebraic equation for the total number of moles at reaction equilibrium using the reaction coordinate. Use E for the reaction coordinate.

i) Now develop an algebraic equation for the mole fraction of NH₃ at equilibrium. Use E for the reaction coordinate.

j) Develop an algebraic equation for the mole fraction of N₂ at equilibrium. Use E for the reaction coordinate.

k) Develop an algebraic equation for the mole fraction of H₂ at equilibrium. Use E for the reaction coordinate.

l) Insert the mole fractions that you submitted above to provide an algebraic representation of K_a in terms of the reaction coordinate (use E for the reaction coordinate) and pressure, P.

K_a=

m) Using the value of the equilibrium constant from the short-cut method, solve for the reaction coordinate using Matlab or Excel at 640 K and P = 22 bar. What is the numerical value of the reaction coordinate?l) Insert the mole fractions that you submitted above to provide an algebraic representation of K_a in terms of the reaction coordinate (use E for the reaction coordinate) and pressure, P.

E=

n) Using the value of the equilibrium constant from the short-cut method, solve for the reaction coordinate using Matlab or Excel at 640 K and P = 7 bar. What is the numerical value of the reaction coordinate?

E=

Answer 1