Dihydrogen gas. used in Haber's process is produced by reacting methane from natural gas with high temperature stam. The first stage of two stage reaction involves the formation of CO and H. In second stage, CO formed in first stage is reacted with more steam in water gas shift reaction.
`CO(g)+H_(2)O(g) hArr CO_(2)+H_(2)(g)`
If a rection vessel at `400^(@)` is charged with an equimolar mixture of CO and steam so that `P_(CO) = P_(H_2O) =4.0` bar , what will be the partial pressure of `H_2` at equilibrium ? `K_(p) =0.1` at `400^(@)`

Explanation

Let the partial pressure hy drogen`(H_2)` at equilibrium point =p bar
`CO(g)+H_(2)O(g) hArr CO_(2)(g) + H_(2)(g)`
`{:("Initial pressure ", "4.0 bar","4.0 bar","0", "0"),("Eqm. Presure ","(4-p) bar","(4-p) bar ","P bar ","P bar "):}`
`K_(p) = (P_(CO_2) xx P_(H_2))/(P_(CO) xx P_(H_2O)) or 0.1 = (("p bar ") xx ("p bar"))/((4-p) "bar"xx (4-p)"bar")`
`p=0.316p = 1.264 or p = (1.264)/(1.316) = 0.96 " bar"`