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What is the energy needed to raise an electron in the hydrogen atom from the second energy level to the third energy level ?

a.) 1.52x10^4 J  b.) 3.6310^-19 J  c.) 2.18x10^-19 J d.) 4.48x10^-9 J e.) 3.0310^-19J

Verified Answer :

Yipes

\(\Delta E=|E_{2}-E_{3}|=|\frac{E_{1}}{4}-\frac{E_{1}}{9}|=|\frac{-13.9eV}{4}-\frac{-13.9eV}{9}|=\\\\ =|-3.475eV+1.544eV|=|-1,931eV|=1.931eV\)

 1eV --------- is ----------- 1.610⁻¹⁹J
1.931eV ---- is -----------  x

x = [1.931eV1.610⁻¹⁹J]/1eV ≈ 3,110⁻¹⁹J

ANSWER E

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