Production of Monoethanolamine $($MEA$)$

A new facility to produce Monoethanolamine $($MEA$)$ is being considered due to an

increase in demand. Therefore, you have been requested to design a plant to produce

$10,000$ metric tons per annum of MEA $($at $99\mathrm{.}5\%$ purity$).$ The plant is to be located in

Richards Bay, South Africa.

The following feed streams are available:

$$ Ammonia feed is available at $10$ atm and $50\backslash$deg C from an adjacent plant.

Ammonia is available as an aqueous solution of $55$ wt$.\%$ of ammonia and $45$

wt$.\%$ water.

$$ Ethylene Oxide $(99\mathrm{.}99\%$ pure$)$ is available at $5$ atm and $40\backslash$deg C$.$

$$ A reaction temperature of $150$ oC is maintained in the reactor, and a pressure

of $160$ atmospheres to avoid the evaporation of ammonia.

$$ Under specified conditions of reaction, only MEA is produced when the feed

ratio of Ammonia $/$Ethylene oxide is $10.$

$$ The plant should operate for $330$ days a year to allow for shutdown and

maintenance.

The chemical equation is

NH$3+$ C$2$H$40=$ C$2$H$7$NO

The heat of formation at standard condition is : H$\backslash$deg rxn $=-104\mathrm{.}3$ kj$/$mol

The entropy at standard conditions is :

G$\backslash$deg rxn$=-75.15$ kj$/$mol

$1.$ Calculate the reaction equilibrium

$2.$ Calculate the composition equilibrium $($find x$)$