P$1$ Calculations

Ethylene oxide $(C_2{H}_{4}O)$ is produced by the reaction of ethylene $(C_2{H}_4)$ with oxygen:

$2C_2{H}_4+O_{2}2C_2{H}_{4}O$

The feed to the reactor contains $5mo\frac{l}{h}$ of ethylene, $3mo\frac{l}{h}$ of oxygen, and $2mo\frac{l}{h}$ of ethylene oxide. Set up the compound balances in general, and then use these to solve the cases suggested as follows:

Suppose the amount of $C_2{H}_4$ coming out of the reactor is $5$mol. How much reaction has occurred?

How much reaction has occurred if the $C_2{H}_4$ flow rate $=6mo\frac{l}{h}?$

How much reaction has occurred if the $C_2{H}_4$ flow rate $=0mo\frac{l}{h}?$

Which component is the limiting reagent?

What is the theoretical yield?

What is the fractional conversion if the $C_2{H}_4$ flow rate $=2mo\frac{l}{h}?$

Material balances:

Based on following reaction:

$2C_2{H}_4+O_{2}2C_2{H}_{4}O$