A novel liquid-phase process of converting ethanol directly to MEG is currently

Question

A novel liquid-phase process of converting ethanol directly to MEG is currently being explored, whereby ethanol and water are placed in a batch reactor at an equimolar ratio and are allowed to react according to the following net reaction: C_2H_5OH + H_2O rightarrow H_2 + C_2H_6O_2 The reactor was initially filled with 1L of Ethanol/Water solution (CO_2H_5OH = 13.5 mol/L). In an effort to track the reaction's progress, the reactor is modified slightly to be able to vent the Hydrogen that's generated. By doing so, the rate of hydrogen generation was determined from the molar flow rate of hydrogen leaving the reactor (i.e. T_H2 = F_H2). Given the following information on measured hydrogen flow rate and cumulative hydrogen generated, determine the most likely reaction order and rate constant for this reaction. Show your work.

Explanation / Answer

generally

rate=k.[conc]^x

taking

lnrate=lnk + xln[conc]

ln4.96=lnk+xln[13.5]

ln2.88=lnk+xln[9.4]

x= 1.55 = order of reaction wrt to C2H5OH

rate constant(k) =0.0877

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