If the balanced equation for the production of C$2$H$7$NO is :

C$2$H$40+$ NH$3--->$ C$2$H$7$NO

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 $10.$

Question:

$1.$ calculate the equilibrium

$2.$ Calculate the mole fraction

$3.$ Calculate the conversion $($x$)$