The hyperconjugative stabilities of tert-butyl cation and 2-butene, respectively, are due to
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Hyperconjugation involves electron delocalization from filled orbitals to empty ones. The tert-butyl cation is stabilized by donation from filled σ C-H bonds to the empty p orbital (σ→π*). 2-butene shows hyperconjugation where filled σ C-H bonds donate to the empty π* antibonding orbital (σ→π*).
Thus, the correct description is: (filled to empty) for both.
Final answer: and electron delocalisations