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NCERT Class XI Chemistry Structure of Atom Solutions

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Question : 14 of 67
Marks: +1, -0
How much energy is required to ionise a H atom if the electron occupies n = 5 orbit? Compare your answer with the ionisation enthalpy of H atom (energy required to remove the electron from n = 1 orbit)
Solution:  
EnE_n = 13.12×105n2\frac{13.12 \times 10^5}{n^2} J/mole
Energy required to remove the electron completely from n = 5 orbital in an H-atom is = 13.12×10552\frac{13.12 \times 10^5}{5^2} J/mole = 0.5248 × 10510^5 J/mole= 5.248 × 10410^4 J/mole
= 5.248×1046.022×1023\frac{5.248 \times 10^4}{6.022 \times 10^{23}} = 8.71 × 10−2010^{-20} J/atoms
Energy required to remove the electron completely from n = 1 orbit in a H-atom is = 13.12×10512\frac{13.12 \times 10^5}{1^2} J/mol = 13.12 × 10510^5 J/mol
= 13.12×1056.022×1023\frac{13.12 \times 10^5}{6.022 \times 10^{23}} = 2.17 × 10−1810^{-18} J/atom
∴ Energy required to remove the electron from n = 1 orbit is 25 times than that required to remove the electron from n = 5.
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