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You and your friends are trying to get rid of excess ethanol via the dehydrogenation of ethanol (C2H5OH) to acetaldehyde (C2H4O) on metal surfaces which

You and your friends are trying to get rid of excess ethanol via the dehydrogenation of
ethanol (C2H5OH) to acetaldehyde (C2H4O) on metal surfaces which occurs via a sequence of elementary
steps given by:
C2H5OH + 2 C2H5O + H
C2H5O+ C2H4O + H
H + H H2 + 2
C2H4O C2H4O+
in which steps 1, 3, and 4 are quasi-equilibrated and () and (C2H5O) are the most abundant surface intermediates.
1) Obtain a rate equation for the rate of C2H5OH consumption. Then, obtain the equivalent rate
equation if step 2 was reversible. Hint: The surface reaction (step 2) is slow.
2) What inequality (in terms only of rate constants and reactant or product concentrations) must be satisfied for the quasi-equilibrated assumption of step 1 to be valid?

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