Given below are two statements: Statement I : ( CH _ 3 )_ 3 C is more stable than C H _ 3 as nine hyperconjugation interactions are possible in ( CH _ 3 )_ 3 C . Statement II : C H _ 3 is less stable than ( CH _ 3 )_ 3 C as only three hyperconjugation interactions are possible in C H _ 3 . In the light of the above statements, choose the correct answer from the options given below
B. Statement I is true but Statement II is false
Statement I: In the tert-butyl carbocation (CH_3)_3C^+, there are three methyl groups attached to the carbocationic carbon. Each methyl group has 3 -hydrogens, making a total of 9 -hydrogens. Thus, 9 hyperconjugation interactions are possible, which significantly stabilize the carbocation. Statement I is true. Statement II: In the methyl carbocation CH_3^+, there are no -carbons and consequently no -hydrogens. Hyperconjugation requires the presence of at least one -hydrogen on a carbon adjacent to the sp^2 hybridized carbocation center. Therefore, zero hyperconjugation interactions are possible in CH_3^+. Statement II is false because it claims three hyperconjugation interactions are possible. Conclusion: Statement I is true but Statement II is false.
Related: Chemistry — General Organic Chemistry · All PYQ Banks