Answer:
The atom economy of ethane in this process is 19.72 %.
What is atom economy?
The conversion efficiency of a chemical reaction in terms of all the atoms involved and the desired products produced is known as atom economy (atom efficiency/percentage).
Explanation:
C₁₀H₂₂ → C₈H₁₈ + C₂H₄
Molecular weight of C₁₀H₂₂ = 142.28
Molecular weight of C₈H₁₈ = 114.228
Molecular weight of C₂H₄ = 28.053
% Atom economy = 
=
= 19.716 %
≈ 19.72 %
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This problem is providing the initial volume and pressure of nitrogen in a piston-cylinder system and asks for the final pressure it will have when the volume increases. At the end, the answer turns out to be 2.90 atm.
<h3>Boyle's law</h3>
In chemistry, gas laws are used so as to understand the volume-pressure-temperature-moles behavior in ideal gases and relate different pairs of variables.
In this case, we focus on the Boyle's law as an inversely proportional relationship between both pressure and volume at constant both temperature and moles:

Thus, we solve for the final pressure by dividing both sides by V2:

Hence, we plug in both the initial pressure and volume and final volume in order to calculate the final pressure:

Learn more about ideal gases: brainly.com/question/8711877