When hydrogenating ethylene with a volume of 20 liters, 18 liters of ethane were obtained

When hydrogenating ethylene with a volume of 20 liters, 18 liters of ethane were obtained, calculate the volume fraction of the yield.

Given:
V (C2H4) = 20 l
V practical. (C2H6) = 18 l

To find:
φ out. -?

Decision:
1) Write the reaction equation:
C2H4 + H2 => C2H6;
2) Calculate the amount of substance C2H4:
n (C2H4) = V (C2H4) / Vm = 20 / 22.4 = 0.89 mol;
3) Determine the amount of C2H6 substance:
n theory. (C2H6) = n (C2H4) = 0.89 mol;
4) Calculate the theoretical volume of C2H6:
V theor. (C2H6) = n theory. (C2H6) * Vm = 0.89 * 22.4 = 20 l;
5) Calculate the volume fraction of the C2H6 yield:
φ out. = V practical (C2H6) * 100% / V theor. (C2H6) = 18 * 100% / 20 = 90%.

Answer: The volume fraction of the C2H6 yield is 90%.