The equilibrium constant for the following gas phase reaction:

is expressed with the following formula:

where T is the reactor temperature, K_e is the reaction equilibrium constant, and is the mole fraction of species in the reactor contents at equilibrium.

The feed to a batch shift reactor contains 25.0 mole% CO, 15.0% CO₂, 45.0% water, and the balance an inert gas. The reactor is maintained at 845 .

Assume a basis of 100 mol feed and draw and label a flowchart. Carry out a degree-of-freedom analysis of the reactor based on extents of reaction and use it to prove that you have enough information to calculate the composition of the reaction mixture at equilibrium.

Calculate the total moles of gas in the reactor at equilibrium and then the equilibrium mole fraction of CO₂ in the product.