Atomic Structure Question 257

Question: The ionization energy of hydrogen atom is $ -13.6,eV. $ The energy required to excite the electron in a hydrogen atom from the ground state to the first excited state is (Avogadro-s constant = 6.022 × 1023)

Options:

A) $ 1.69\times {10^{-20}}J $

B) $ 1.69\times {10^{-23}}J $

C) $ 1.69\times 10^{23}J $

D) $ 1.69\times 10^{25}J $

Show Answer

Answer:

Correct Answer: B

Solution:

$ E=\frac{-13.6}{n^{2}}=\frac{-13.6}{4}=-3.4,eV $ We know that energy required for excitation $ \Delta E=E_2-E_1 $

$ =-3.4-(-13.6)=10.2,eV $ Therefore energy required for excitation of electron per atom $ =\frac{10.2}{6.02\times 10^{23}}=1.69\times {10^{-23}}J $



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