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Main Reaction: CO2 + 4H2 CH4 + 2H2O

Secondary reaction: CO2 + H2 CO + H2O

The feed to the methanation reactor consists of carbon dioxide and hydrogen fed at elevated temperature and pressure, and the reaction takes place in the presence of a nickle catalyst. If the gas exiting a methanator had the following analysis: CO2 57.2%, H2 41.2%, CH4 1.49% and CO 0.11% (by volume) on a dry basis.

Find

(i) the fractional conversion of CO2

(ii) the yield of CH4 in terms of CO2 reacted (mol/mol), and

(iii) the composition of the feed (volume basis)