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The balanced equation for the gas-phase reaction of ethylene with hydrogen to form ethane in the presence of a palladium catalyst is as follows:
C2H4(g) + H2(g) → C2H6(g)
In this reaction, one molecule of ethylene (C2H4) reacts with one molecule of hydrogen (H2) to produce one molecule of ethane (C2H6). The reaction is balanced with respect to the number of atoms of each element involved.