9.3 Exercise 30

Ethanol, C₂H₅OH, is produced industrially from ethylene, C₂H₄, by the following sequence of reactions:
$3 \text{C}_{2} \text{H}_{4} + 2 \text{H}_{2} \text{SO}_{4} \rightarrow \text{C}_{2} \text{H}_{5} \text{HSO}_{4} + \left(\text{C}_{2} \text{H}_{5}\right)_{2} \text{SO}_{4}$
$\text{C}_{2} \text{H}_{5} \text{HSO}_{4} + \left(\text{C}_{2} \text{H}_{5}\right)_{2} \text{SO}_{4} + 3 \text{H}_{2} \text{O} \rightarrow 3 \text{C}_{2} \text{H}_{5} \text{OH} + 2 \text{H}_{2} \text{SO}_{4}$

What volume of ethylene at STP is required to produce 1.000 metric ton (1000 kg) of ethanol if the overall yield of ethanol is 90.1%?