In a process for the catalytic hydration of ethylene (C_2H_4 + H_2O) to ethyl al
ID: 1065153 • Letter: I
Question
In a process for the catalytic hydration of ethylene (C_2H_4 + H_2O) to ethyl alcohol (C_2H_5OH) the once-through conversion is only 4.5%, so that a recycle is necessary. The separator after the reactor removes all the alcohol produced, and most of the water as a liquid product. The gas from the separator, containing 6.5 % water is recycled. The molar ratio of water to ethylene m the reactor feed is 0.55:1.0. Calculate. the amount and composition for each stream in the system, the overall conversion with respect to ethylene, the overall conversion with respect to water. The percentage of excess reactant entering the overall system. The yield of alcohol based on the amount of ethylene entering the system.Explanation / Answer
Basis : 1 mole water and 0.55 moles of ethylene at the inlet to the reactor
The reaction is C2H4+H2O---àC2H5OH
Conversion of limiting reactant C2H4= 4.5%
Recycle consists of 6.5% water and 100-6.5= 93.5% C2H4
Conversion in the reactor = 4.5%
Ethylene is the limiting reactant entering the reactor
0.55*4.5/100 = moles of C2H5OH produced =0.02475 moles
Moles of C2H4 remaining = 0.55-0.02475= 0.52525
All the un reacted C2H4 is recycled and this correspond to 93.5% C2H4
Let R= Recylce
R*0.935= 0.52525
R = 0.5617 , moles of water recycled= 0.5617* 6.5/100 =0.036511 moles
Moles of C2H4 remaining = 0.52525
Moles of water remaining after reaction = 1-0.02475= 0.97525
Moles of water removed as liquid produced = 0.97525-0.036511 =0.938739 moles
Let F= Feed
Moles of water in feed + moles of water in recycle = 1
Moles of water in feed = 1-0.036511 =0.963489
Moles of C2H4 in feed + Moles of C2H4 recycled = 0.55
Moles of C2H4 in feed +.52525 =0.55
Moles of C2H4 in feed =0.55-0.52525= .02475
Composition : Feed : C2H4= 0.02475/(0.963489+0.02475) =0.025 , H2O= 1-0.025= 0.975
Conversion with respect to water = 100* (0.975-0.02475)/0.975=97.4%
With respect to C2H4= 100%
Water entering = 0.963489, water consumed =0.02475
Excess % water = 100*(0.963489-0.02475)/0.963489 =97.4%
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