Chapter 14, Problem 14.20P

For the ammonia synthesis reaction,

$\frac{1}{2}{N}_2\left(g\right)+\frac{3}{2}{H}_2\to N{H}_3\left(g\right)$

the equilibrium conversion to ammonia is large at 300 K, but it decreases rapidly with increasing T. However, reaction rates become appreciable only at higher temperatures. For a feed mixture of hydrogen and nitrogen in the stoichiometric proportions,
(a) What is the equilibrium mole fraction of ammonia at 1 bar and 300 K?
(h) At what temperature does the equilibrium mole fraction of ammonia equal 0.50
for a pressure of 1 bar?
(c) At what temperature does the equilibrium mole fraction of ammonia equal 0.50 for a pressure of 100 bar, assuming the equilibrium mixture is an ideal gas?
(d) At what temperature does the equilibrium mole fraction of ammonia equal 0.50 for a pressure of 100 bar, assuming the equilibrium mixture is an ideal solution of gases?