Here are the essential concepts you must grasp in order to answer the question correctly.
Ring Strain
Ring strain occurs in cyclic compounds when the bond angles deviate from the ideal tetrahedral angle of 109.5 degrees, leading to increased energy and reactivity. In ethylene oxide, the three-membered ring creates significant angle strain, making it more reactive towards nucleophiles like HO-. Cyclopropane also has ring strain, but its stability is enhanced by the ability to adopt a more favorable conformation.
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Nucleophilic Attack
Nucleophilic attack involves a nucleophile, such as HO-, attacking an electrophilic center in a molecule. Ethylene oxide's strained ring makes the carbon atoms more electrophilic, facilitating this reaction. In contrast, cyclopropane lacks such electrophilic centers due to its stable structure, making it less susceptible to nucleophilic attack despite having similar strain.
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Stability of Cyclopropane
Cyclopropane is relatively stable due to its ability to maintain a planar structure, which minimizes torsional strain. This stability results in lower reactivity compared to ethylene oxide, where the strain leads to a higher energy state. Consequently, cyclopropane does not readily undergo reactions with nucleophiles like HO-, as it does not have the same driving force for reaction as ethylene oxide.
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The radical stability trend.