Calculate the reactor heating (positive Q) or cooling (negative Q) requirement in kJ/mol feed.

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Synthetically produced ethanol is an important industrial commodity used for various purposes including: as a solvent (especially for substances intended for human contact or consumption); in coatings, inks, and personal-care products; for sterilization; and as a fuel.

Although a great deal of attention has been given to the production of ethanol by fermentation of sugars, industrial ethanol is a petrochemical synthesized by the hydrolysis of ethylene:

C₂H₄ (g) + H₂O (v) ⇌ C₂H₅OH (v)

Some of the product is converted to diethyl ether in the undesired side reaction

2C₂H₅OH (v) ⇌ (C₂H₅)₂O (v) + H₂O (v)

The combined feed to the reactor contains 53.7 mole % C₂H₄, 36.7% H₂O and the balance nitrogen which enters the reactor at 310.0°C. The reactor operates isothermally at 310.0°C. An ethylene conversion of 30.0% is achieved, and the yield of ethanol (moles ethanol produced/mole ethylene consumed) is 0.700.

Data for Diethyl Ether

$\Delta {\stackrel{\wedge }{H}}_f^o=–271.2\mathrm{kJ}/\mathrm{mol}$(for the liquid)
$\Delta {\stackrel{\wedge }{H}}_v=26.05\mathrm{kJ}/\mathrm{mol}$(assume independent of T)
C_p [kJ/(mol·°C)] = 0.08945 + 40.33 x 10^–5T – 2.244 x 10^–7T² (T in °C)

Calculate the reactor heating (positive Q) or cooling (negative Q) requirement in kJ/mol feed.

Q =

kJ/mol feed.

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