Ethylene oxide is formed by the partial oxidation of ethylene in the gas phase (see figure). In this process, 1000 mol/h of pure ethylene is fed into the system, this stream is mixed with air. The molar ratio between fresh ethylene and oxygen in the air is 2 to 1. The ethylene conversion in one pass is 25%. The stream leaving the reactor contains ethylene, ethylene oxide, water, carbon dioxide and nitrogen, all oxygen is consumed.

The effluent from the reactor is fed to a separation unit, in which the ethylene and nitrogen are removed from the other gases. A portion of the ethylene and nitrogen is purged and the recycling is mixed with the fresh ethylene and the air stream. The ethylene oxide, water, and carbon dioxide are sent to another separation process. In stream (5) 50 mol/h of carbon dioxide is quantified. Reactions in the gas phase occur according to the following stoichiometry:

C₂H₄ + O CH₄O

CH₄ + 3 O₂ 2 HO + 2 CO

Determine all the unknowns of the problem. Explain each calculation in detail.